A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe

R. C. Silva; R. L. Silva

REVIEW 2 major objections 6 minor 105 references

A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe

T0 review · 2 major / 6 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read Two trapezoidal regions of enhanced anisotropy steer an antiferromagnetic skyrmion through a nanostripe in one direction and block it in the other, producing diode-like behavior in micromagnetic simulations.

desk verdict Clever AFM skyrmion diode geometry with a real collimator effect, but the Zhang-Li drive is not physical in the named insulating KMnF3 material. read the letter →

arxiv 2412.11724 v1 pith:C3ATD3IV submitted 2024-12-16 cond-mat.mes-hall

R. C. Silva , R. L. Silva This is my paper · ORCID

classification cond-mat.mes-hall

keywords antiferromagneticskyrmiondiodemagneticanisotropyengineeringmicromagneticsimulationracetrackmemorytopologicalspintexturespin-transfertorquecollimator

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper proposes a diode-like device built from a single antiferromagnetic nanostripe in which two trapezoidal regions have enhanced easy-axis anisotropy. Micromagnetic simulations show that a skyrmion driven by spin-polarized current can pass through these wedges from left to right, while the same wedges block its motion from right to left. The authors map how wedge geometry, anisotropy strength, and current density control the effect, and they give parameter ranges for reliable one-way operation. A sympathetic reader would care because antiferromagnetic skyrmions move without the skyrmion Hall effect, so this is a concrete route toward a current-driven, direction-selective element for spintronic circuits.

What carries the argument

The central object is the pair of right trapezoidal wedges with enhanced easy-axis anisotropy (K_i = K_w > K_0) embedded in an otherwise uniform antiferromagnetic nanostripe described by exchange, Dzyaloshinskii-Moriya, and easy-axis anisotropy terms. The load-bearing effect is the repulsive skyrmion-wedge interaction potential $\Delta$ = E(r_sk-w) - E(infinity), which is positive and becomes significant only within roughly 30 nm of a wedge border. Because the repulsive force is perpendicular to the inclined section of the trapezoid, the skyrmion is steered along the ramp in the forward direction, while in reverse the combined wedges present a wall with no non-interacting pathway. The design rule d = 8*R_sk / sin(theta_w) + Delta_h / tan(theta_w) sets the wedge separation that lets the skyrmion pass smoothly, and the choice h2 = L_y - h1 + Delta_h with Delta_h and b large enough closes the reverse path.

What would settle it

Run the same trapezoidal-wedge stripe with the same parameters but add thermal noise at operating temperature, edge roughness, or a second skyrmion, and count reverse crossings from C2 to C1: if the reverse-blocking probability drops below the forward-passage probability under any current density in the reported operating range, the diode claim in its present form is refuted. A simpler check is to reproduce the theta_w = 87 degrees simulation and verify whether the wedge-region velocity really vanishes while the skyrmion remains intact.

Watch

Extended reading notes

Core claim

The central claim is that two right trapezoidal regions with enhanced easy-axis anisotropy act as a geometric diode for an antiferromagnetic skyrmion: passage from region C1 to C2 is enabled, while reverse passage from C2 to C1 is prevented, for suitable choices of the wedge heights h1, h2, spacing d, base b, inclination angle theta_w, anisotropy K_w, and current density j_e. The mechanism is the repulsive interaction between the skyrmion and the higher-anisotropy wedges, which is perpendicular to the inclined edge of the trapezoid. In the forward direction the skyrmion rides along the inclined edges and exits the wedge region at a controlled vertical height; in the reverse direction the wedge pair spans the full width of the stripe, so the skyrmion encounters a continuous repulsive barrier with no free path, and is trapped or annihilated. A phase diagram in (j_e, K_w) delimits the diode-operating region, the transparent region, and the annihilation region.

Load-bearing premise

The entire diode behavior is established by deterministic, zero-temperature micromagnetic simulations of one clean skyrmion in an ideal stripe, assuming the KMnF3 material parameters remain valid inside the anisotropy-modified wedges.

Editorial extensions

If this is right

Skyrmions launched anywhere across the C1 width arrive in C2 at the same vertical height, so the structure also collimates the skyrmion path.
The device functions as a diode only over a finite window of current density and wedge anisotropy; outside that window the stripe becomes transparent or annihilates the skyrmion.
Wedge inclination angles between 30 and 70 degrees give the best trade-off between device size and transit speed, while at theta_w = 87 degrees the wedges become a vertical barrier and the diode stops working.
Reverse blocking requires the upper trapezoid to extend below the lower one by Delta_h > 12 nm with base b >= 14 nm at j_e = 6e12 A/m^2, and triangular wedges (b = 0) cannot block reverse passage.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The same geometric asymmetry could act as a skyrmion ratchet under oscillating or pulsed currents, delivering net transport without a fixed current direction.
At finite temperature the repulsive barrier becomes a probabilistic one: the device may leak in the reverse direction, and the phase diagram should be re-drawn with thermal activation included.
Because the forward path realizes position-controlled vertical steering, cascading several wedge pairs could route skyrmions into different output channels, turning the diode into a building block for skyrmion logic.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Short version: the trapezoidal wedge geometry is a genuinely new variation on AFM skyrmion diodes, and the collimation effect (skyrmions exiting the wedge region at a fixed vertical height regardless of entry position) is the strongest part of the paper. The simulations are clean and the phase diagram gives a useful operating map. I recommend reading it if you work on skyrmion racetracks.

The soft spot is more fundamental than the reader's report suggests. Eq. (2) drives the system with a Zhang-Li torque from a charge current je, and the parameters are for KMnF3. KMnF3 is an insulating antiferromagnet; there is no bulk charge current to produce that torque. So the core mechanism that moves the skyrmion through the wedges cannot be applied in the material named. This is not a matter of thermal fluctuations or edge disorder—it is the drive itself. If they intended a heavy-metal spin Hall layer underneath, the torque would be different and they'd need to simulate it explicitly. If they switch to a metallic AFM, the anisotropy parameters and the skyrmion size will differ. Either way, the paper as written overreaches when it calls the result a device or provides 'experimental guidelines.'

There are smaller issues: the separation rule d = 8Rsk/sin(θw) + Δh/tan(θw) is stated without derivation and looks heuristic; the reverse-blocking phase diagram is only for a clean, zero-temperature single skyrmion, with no robustness tests; and no code or raw data are included, which limits reproducibility for a simulation paper.

All that said, the paper is internally coherent, the literature is honestly cited, and the geometry is not in the three prior AFM diode proposals cited. I'd engage with it if the authors fix the drive question, either by changing the material to a conductive AFM or by explicitly modeling a spin-orbit torque source. The central idea survives as a simulation study of a geometric diode in a generic AFM model, but not as a KMnF3 device.

Referee Report

2 major / 6 minor

Summary. The manuscript proposes a diode-like device in which a single antiferromagnetic skyrmion is driven along a nanostripe containing two trapezoidal regions of enhanced easy-axis anisotropy. The authors use micromagnetic simulations based on the LLG equation with a Zhang-Li spin-transfer torque and parameters typical of KMnF3. They find that skyrmions cross the trapezoidal barriers from left to right for various initial vertical positions, while reverse motion is blocked for suitable choices of geometry, anisotropy, and current density. The paper also presents the skyrmion-wedge interaction potential, velocity analysis, and a phase diagram in the (Kw, je) plane.

Significance. If the reported effect is physically realizable, the work provides a geometry-based rectification mechanism that adds to the limited literature on AFM skyrmion diodes. The main strengths are the systematic parameter scans, the direct extraction of skyrmion trajectories and velocities, and the clear phase diagrams that define the proposed operating window. However, the physical drive mechanism and the derivation of the design rule for wedge separation are not yet fully settled, so the device claim should be treated as conditional.

major comments (2)

[§II, Eq. (2)] The Zhang-Li torque used to drive the skyrmion contains a charge current density je, but the material chosen for the device is KMnF3, which is an insulating antiferromagnet. A bulk charge current cannot flow in this material, so the simulated driving mechanism cannot be applied as written to the named device. Because all diode trajectories and phase boundaries in Sections III.B and III.C are computed under this drive, this is a load-bearing inconsistency. I suggest replacing Eq. (2) with a spin-orbit torque from an adjacent heavy-metal layer (with its distinct spatial profile), choosing a conductive AFM with similar parameters, or providing a quantitative justification for an alternative spin-current source that maps onto the Zhang-Li form.
[§III.A] The recommended wedge separation d = 8Rsk/sin(θw) + Δh/tan(θw) is introduced without derivation or evidence, and it appears inconsistent with the geometry used later: for the device in Section III.B (h1 = 200 nm, h2 = 240 nm, Ly = 400 nm, θw = 45°), the formula yields d ≈ 138 nm, whereas the simulations use d = 80 nm. The text should justify the formula, show how it was obtained, and either reconcile it with the simulated geometry or explain why the smaller separation is sufficient for the 'smooth transition' claim.

minor comments (6)

[§IV] The conclusion states 'enhanced easy-plane anisotropy', but the model in Eq. (1) uses easy-axis anisotropy; please correct this to 'easy-axis' for consistency.
[§II] The negative sign of Aex and Jex in the exchange term is used to model antiferromagnetic coupling, but this could be stated explicitly to avoid confusion for readers accustomed to positive exchange stiffness.
[Fig. 3 caption] The caption says the skyrmion 'moves along a rectilinear path that forms a right angle with the inclined section'; consider rephrasing to state clearly that the repulsive force is perpendicular to the inclined edge, and that the trajectory direction follows that perpendicular.
[References] Reference [38] lists the Sampaio et al. article with year 2023; the correct year is 2013 (Nat. Nanotech. 8, 839).
[Fig. 4(a)] The colored trajectories are not identified in the caption; please add a legend or a note describing the initial vertical coordinate corresponding to each color.
[General] The central claims are based exclusively on zero-temperature, single-skyrmion, disorder-free simulations. I recommend adding an explicit limitation statement, and if possible a finite-temperature or multi-skyrmion test, to indicate how the diode behavior might be affected under realistic device conditions.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the diode-like behavior is an emergent result of the micromagnetic simulations, not an input or a self-cited premise.

full rationale

The paper's central claim is that trapezoidal regions of enhanced easy-axis anisotropy allow an antiferromagnetic skyrmion to pass from region C1 to C2 while blocking reverse motion. This behavior is obtained by integrating the Landau-Lifshitz-Gilbert equation with Zhang-Li torques, Eq. (2), using the stated Hamiltonian, Eq. (1), and the listed KMnF3 parameters. The forward and reverse trajectories, velocities, interaction potentials, and phase boundaries are all computed outputs of the simulations; none of these quantities is fitted to the diode outcome or defined in terms of it. The only relevant self-citations, Refs. 103-104, are used as a consistency statement ('The findings are consistent with those presented in Refs. 102-104') for the repulsive interaction potential, which is independently computed in the present work, so the citation is not load-bearing. The empirical rule for the wedge separation, d = 8Rsk/sin(θw) + Δh/tan(θw), is presented as a simulation-derived guidance rather than as a prediction claimed to be derived from first principles. No step reduces to the paper's own output or to an unverified self-citation chain. Concerns about material applicability, such as whether bulk Zhang-Li torque can be realized in insulating KMnF3, are correctness or physical-realism risks, not circularity.

Assumptions & free parameters 4 free parameters · 6 assumptions · 0 invented entities

The central claim rests on material parameters and dynamical equations taken from prior literature, plus user-selected wedge geometry and anisotropy. No new physical entity is introduced. The main model-level assumptions are zero temperature, single skyrmion, clean stripe, and the use of a frozen-spin energy landscape to reason about dynamical barriers.

free parameters (4)

Wedge anisotropy multiplier K_w/K0 = 1.50 for main runs; 1.125 to 1.50 range in phase diagram
Chosen by hand as a design input; the diode behavior depends on this enhanced anisotropy value.
Trapezoid separation rule d = d = 8 R_sk / sin(theta_w) + Delta_h / tan(theta_w)
Stated as 'our calculations have shown' without derivation; the constants are effectively tuned to produce smooth C1 to C2 passage.
Current density j_e = 0.10 j0 (about 2.0e12 A/m2) for main trajectories; up to 6.0e12 in scans
Operating current chosen from simulations; the diode effect only exists in a window of j_e and K_w.
Trapezoid geometry (h1, h2, b, theta_w) = h1=200 nm, h2=240 nm, b=20 or 40 nm, theta_w=45 degrees for main runs; b and Delta_h scanned
Geometric inputs chosen by hand; the blocking condition requires h2 > Ly - h1 plus Delta_h.

assumptions (6)

domain assumption A lattice spin Hamiltonian with Heisenberg, interfacial DM, and easy-axis anisotropy terms adequately models KMnF3 antiferromagnets.
Invoked in Section II, Eq. (1), without first-principles validation for the simulated nanostripe geometry.
domain assumption The bulk KMnF3 material constants (Aex, D, K, Ms) remain valid in a 2 nm thick nanostripe and inside the modified anisotropy wedges.
Used throughout Section II; no separate verification is given for the wedge regions.
domain assumption Zero-temperature, single-skyrmion, clean-stripe dynamics are representative of the proposed device operation.
All trajectories and phase diagrams in Section III are computed without thermal fluctuations, disorder, or additional skyrmions.
domain assumption The Zhang-Li spin-transfer torque form with beta = 0.10 alpha is applicable to antiferromagnetic dynamics.
Adopted in Section II, Eq. (2), following Ref. 58; no independent test is performed.
ad hoc to paper The frozen-spin energy landscape Delta = E(r_sk-w) - E(infinity) represents the dynamical barrier experienced by a moving skyrmion.
Defined in Section III A with a fixed spin configuration; the paper does not verify that the moving skyrmion profile matches the frozen profile used for the potential.
standard math The Neel vector and topological charge density formulas correctly track the skyrmion center and radius.
Introduced in Section II, Eqs. (3)-(5), as standard methods from Refs. 99-101.

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Cite this review

Pith. "Pith review of A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe." pith.science (2026). https://pith.science/paper/C3ATD3IV

@misc{pith2026241211724,
  author       = {Pith},
  title        = {Pith review of: A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/C3ATD3IV}},
  note         = {Machine review of arXiv:2412.11724}
}

read the original abstract

Micromagnetic simulations were employed to investigate the dynamics of a single skyrmion within an antiferromagnetic nanostripe with spatially engineered magnetic properties. This study investigates skyrmion motion within an antiferromagnetic nanostripe engineered with trapezoidal regions of enhanced magnetic anisotropy, enabling diode-like functionality by selectively directing skyrmion movement. Our findings demonstrate that skyrmions can cross these barriers in one direction while being obstructed in the reverse direction, mimicking diode behavior. A detailed analysis is presented on how geometric parameters, such as the inclination angle of the trapezoidal barriers, impact skyrmion motion and device efficacy. Additionally, we reveal that an optimal combination of current density and anisotropy is essential to facilitate efficient skyrmion transport through the nanostripe without reverse movement or annihilation. This work advances the development of skyrmion-based devices for spintronic applications. It provides valuable insights into designing structures that harness controlled topological dynamics

Figures

Figures reproduced from arXiv: 2412.11724 by the authors.

**Figure 3.** FIG. 3. (Color online) Skyrmion motion is induced by its interac [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

**Figure 5.** FIG. 5. (Color online) a) Skyrmion velocity as a function of the spin [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗

Figures from the paper (3 more)

**Figure 6.** Figure 6: FIG. 6. (Color online) a) The trajectories of skyrmions from differ [PITH_FULL_IMAGE:figures/full_fig_p006_6.png]

**Figure 7.** Figure 7: FIG. 7. (Color online) a) Optimal values of [PITH_FULL_IMAGE:figures/full_fig_p007_7.png]

**Figure 8.** Figure 8: FIG. 8. (Color online) Phase diagram showing the device performance based on current density [PITH_FULL_IMAGE:figures/full_fig_p008_8.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

105 extracted references · 52 canonical work pages

[1]

Shinjo , author T

author author T. Shinjo , author T. Okuno , author R. Hassdorf , author K. Shigeto , \ and\ author T. Ono ,\ 10.1126/science.289.5481.930 journal journal Sci. \ volume 289 ,\ pages 930 ( year 2000 ) NoStop

doi:10.1126/science.289.5481.930
[2]

author author K. Y. \ Guslienko ,\ doi:10.1166/jnn.2008.18305 journal journal J. Nanosci. Nanotechnol. \ volume 8 ,\ pages 2745 ( year 2008 ) NoStop

arXiv 2008
[3]

Jung , author Y.-S

author author H. Jung , author Y.-S. \ Choi , author K.-S. \ Lee , author D.-S. \ Han , author Y.-S. \ Yu , author M.-Y. \ Im , author P. Fischer , \ and\ author S.-K. \ Kim ,\ 10.1021/nn3000143 journal journal ACS Nano \ volume 6 ,\ pages 3712 ( year 2012 ) ,\ note pMID: 22533663 NoStop

work page doi:10.1021/nn3000143
[4]

Fert , author V

author author A. Fert , author V. Cros , \ and\ author J. Sampaio ,\ 10.1038/nnano.2013.29 journal journal Nat. Nanotech. \ volume 8 ,\ pages 152 ( year 2013 ) NoStop

doi:10.1038/nnano.2013.29 2013
[5]

Nagaosa \ and\ author Y

author author N. Nagaosa \ and\ author Y. Tokura ,\ 10.1038/nnano.2013.243 journal journal Nat. Nanotech. \ volume 8 ,\ pages 899 ( year 2013 ) NoStop

doi:10.1038/nnano.2013.243 2013
[6]

author author F. N. \ Rybakov , author A. B. \ Borisov , author S. Bl \"u gel , \ and\ author N. S. \ Kiselev ,\ 10.1103/PhysRevLett.115.117201 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 117201 ( year 2015 ) NoStop

work page doi:10.1103/physrevlett.115.117201 2015
[7]

Sutcliffe ,\ 10.1088/1751-8121/aad521 journal journal J

author author P. Sutcliffe ,\ 10.1088/1751-8121/aad521 journal journal J. Phys. A: Math. Theor. \ volume 51 ,\ pages 375401 ( year 2018 ) NoStop

doi:10.1088/1751-8121/aad521 2018
[8]

o ring , author C. Melcher , \ and\ author S. Bl \

author author F. N. \ Rybakov , author N. S. \ Kiselev , author A. B. \ Borisov , author L. D \"o ring , author C. Melcher , \ and\ author S. Bl \"u gel ,\ 10.1063/5.0099942 journal journal APL Mater. \ volume 10 ,\ pages 111113 ( year 2022 ) NoStop

doi:10.1063/5.0099942

Show all 105 references

[9]

author author A. A. \ Belavin \ and\ author A. M. \ Polyakov ,\ http://jetpletters.ru/ps/1529/article \_ 23383.pdf journal journal JETP Lett. \ volume 22 ,\ pages 245 ( year 1975 ) NoStop

1975
[10]

author author X. Z. \ Yu , author W. Koshibae , author Y. Tokunaga , author K. Shibata , author Y. Taguchi , author N. Nagaosa , \ and\ author Y. Tokura ,\ 10.1038/s41586-018-0745-3 journal journal Nature \ volume 564 ,\ pages 95 ( year 2018 ) NoStop

doi
[11]

Xia , author X

author author J. Xia , author X. Zhang , author X. Liu , author Y. Zhou , \ and\ author M. Ezawa ,\ 10.1038/s43246-022-00311-w journal journal Commun. Mater. \ volume 3 ,\ pages 1 ( year 2022 ) NoStop

2022 doi
[12]

\ Kishine \ and\ author A

author author J.-i. \ Kishine \ and\ author A. S. \ Ovchinnikov ,\ in\ 10.1016/bs.ssp.2015.05.001 booktitle Solid State Physics ,\ Vol. volume 66 ,\ editor edited by\ editor R. E. \ Camley \ and\ editor R. L. \ Stamps \ ( publisher Academic Press ,\ address San Diego ,\ year 2...

2015 doi
[13]

Togawa , author Y

author author Y. Togawa , author Y. Kousaka , author K. Inoue , \ and\ author J. Kishine ,\ 10.7566/JPSJ.85.112001 journal journal J. Phys. Soc. Jpn. \ volume 85 ,\ pages 112001 ( year 2016 ) NoStop

2016 doi
[14]

Everschor-Sitte , author J

author author K. Everschor-Sitte , author J. Masell , author R. M. \ Reeve , \ and\ author M. Kl \"a ui ,\ 10.1063/1.5048972 journal journal J. Appl. Phys. \ volume 124 ,\ pages 240901 ( year 2018 ) NoStop

2018 doi
[15]

author author A. O. \ Leonov \ and\ author I. K\'ezsm\'arki ,\ 10.1103/PhysRevB.96.014423 journal journal Phys. Rev. B \ volume 96 ,\ pages 014423 ( year 2017 ) NoStop

2017 doi
[16]

author author A. N. \ Bogdanov \ and\ author D. A. \ Yablonskii ,\ 10.1097/QAD.0b013e32830163c0 journal journal Sov. Phys. JETP \ volume 68 ,\ pages 101 ( year 1989 ) NoStop

1989 doi
[17]

Dzyaloshinsky ,\ 10.1016/0022-3697(58)90076-3 journal journal J

author author I. Dzyaloshinsky ,\ 10.1016/0022-3697(58)90076-3 journal journal J. Phys. Chem. Solids \ volume 4 ,\ pages 241 ( year 1958 ) NoStop

1958 doi
[18]

Moriya ,\ 10.1103/PhysRev.120.91 journal journal Phys

author author T. Moriya ,\ 10.1103/PhysRev.120.91 journal journal Phys. Rev. \ volume 120 ,\ pages 91 ( year 1960 ) NoStop

1960 doi
[19]

Bogdanov \ and\ author A

author author A. Bogdanov \ and\ author A. Hubert ,\ 10.1016/0304-8853(94)90046-9 journal journal J. Magn. Magn. Mater. \ volume 138 ,\ pages 255 ( year 1994 ) NoStop

1994 doi
[20]

author author U. K. \ R \"o ler , author A. N. \ Bogdanov , \ and\ author C. Pfleiderer ,\ 10.1038/nature05056 journal journal Nature \ volume 442 ,\ pages 797 ( year 2006 ) NoStop

2006 doi
[21]

author author A. N. \ Bogdanov \ and\ author C. Panagopoulos ,\ 10.1038/s42254-020-0203-7 journal journal Nat. Rev. Phys. \ volume 2 ,\ pages 492 ( year 2020 ) NoStop

2020 doi
[22]

u hlbauer , author B. Binz , author F. Jonietz , author C. Pfleiderer , author A. Rosch , author A. Neubauer , author R. Georgii , \ and\ author P. B \

author author S. M \"u hlbauer , author B. Binz , author F. Jonietz , author C. Pfleiderer , author A. Rosch , author A. Neubauer , author R. Georgii , \ and\ author P. B \"o ni ,\ 10.1126/science.1166767 journal journal Science \ volume 323 ,\ pages 915 ( year 2009 ) NoStop

doi
[23]

Neubauer , author C

author author A. Neubauer , author C. Pfleiderer , author B. Binz , author A. Rosch , author R. Ritz , author P. G. \ Niklowitz , \ and\ author P. B \"o ni ,\ 10.1103/PhysRevLett.102.186602 journal journal Phys. Rev. Lett. \ volume 102 ,\ pages 186602 ( year 2009 ) NoStop

doi
[24]

Karube , author J

author author K. Karube , author J. S. \ White , author N. Reynolds , author J. L. \ Gavilano , author H. Oike , author A. Kikkawa , author F. Kagawa , author Y. Tokunaga , author H. M. \ R nnow , author Y. Tokura , \ and\ author Y. Taguchi ,\ 10.1038/nmat4752 journal journal ...

doi
[25]

M \"u hlbauer , author J

author author S. M \"u hlbauer , author J. Kindervater , author T. Adams , author A. Bauer , author U. Keiderling , \ and\ author C. Pfleiderer ,\ 10.1088/1367-2630/18/7/075017 journal journal New J. Phys. \ volume 18 ,\ pages 075017 ( year 2016 ) NoStop

doi
[26]

author author X. Z. \ Yu , author Y. Onose , author N. Kanazawa , author J. H. \ Park , author J. H. \ Han , author Y. Matsui , author N. Nagaosa , \ and\ author Y. Tokura ,\ 10.1038/nature09124 journal journal Nature \ volume 465 ,\ pages 901 ( year 2010 ) NoStop

doi
[27]

author author X. Z. \ Yu , author N. Kanazawa , author Y. Onose , author K. Kimoto , author W. Z. \ Zhang , author S. Ishiwata , author Y. Matsui , \ and\ author Y. Tokura ,\ 10.1038/nmat2916 journal journal Nat. Mater. \ volume 10 ,\ pages 106 ( year 2011 ) NoStop

doi
[28]

Moreau-Luchaire , author C

author author C. Moreau-Luchaire , author C. Moutafis , author N. Reyren , author J. Sampaio , author C. A. F. \ Vaz , author N. Van Horne , author K. Bouzehouane , author K. Garcia , author C. Deranlot , author P. Warnicke , author P. Wohlh \"u ter , author J.-M. \ George , a...

doi
[29]

Wiesendanger ,\ 10.1038/natrevmats.2016.44 journal journal Nat

author author R. Wiesendanger ,\ 10.1038/natrevmats.2016.44 journal journal Nat. Rev. Mater. \ volume 1 ,\ pages 16044 ( year 2016 ) NoStop

2016 doi
[30]

Ogasawara , author N

author author T. Ogasawara , author N. Iwata , author Y. Murakami , author H. Okamoto , \ and\ author Y. Tokura ,\ 10.1063/1.3123256 journal journal Appl. Phys. Lett. \ volume 94 ,\ pages 162507 ( year 2009 ) NoStop

2009 doi
[31]

Finazzi , author M

author author M. Finazzi , author M. Savoini , author A. R. \ Khorsand , author A. Tsukamoto , author A. Itoh , author L. Du \`o , author A. Kirilyuk , author T. Rasing , \ and\ author M. Ezawa ,\ 10.1103/PhysRevLett.110.177205 journal journal Phys. Rev. Lett. \ volume 110 ,\ ...

doi
[32]

Li , author J

author author Z. Li , author J. Su , author S. Z. \ Lin , author D. Liu , author Y. Gao , author S. Wang , author H. Wei , author T. Zhao , author Y. Zhang , author J. Cai , \ and\ author B. Shen ,\ 10.1038/s41467-021-25926-4 journal journal Nat. Commun. \ volume 12 ,\ pages 5...

doi
[33]

Streubel , author C.-H

author author R. Streubel , author C.-H. \ Lambert , author N. Kent , author P. Ercius , author A. T. \ N'Diaye , author C. Ophus , author S. Salahuddin , \ and\ author P. Fischer ,\ https://doi.org/10.1002/adma.201800199 journal journal Adv. Mater. \ volume 30 ,\ pages 180019...

doi
[34]

Xu , author Y

author author T. Xu , author Y. Zhang , author Z. Wang , author H. Bai , author C. Song , author J. Liu , author Y. Zhou , author S.-G. \ Je , author A. T. \ N’Diaye , author M.-Y. \ Im , author R. Yu , author Z. Chen , \ and\ author W. Jiang ,\ 10.1021/acsnano.3c02006 journal...

doi
[35]

Luo , author K

author author C. Luo , author K. Chen , author V. Ukleev , author S. Wintz , author M. Weigand , author R.-M. \ Abrudan , author K. Proke s , \ and\ author F. Radu ,\ 10.1038/s42005-023-01341-7 journal journal Commun. Phys. \ volume 6 ,\ pages 218 ( year 2023 ) NoStop

doi
[36]

Chen , author D

author author K. Chen , author D. Lott , author A. Philippi-Kobs , author M. Weigand , author C. Luo , \ and\ author F. Radu ,\ 10.1039/D0NR02947E journal journal Nanoscale \ volume 12 ,\ pages 18137 ( year 2020 a ) NoStop

2020 doi
[37]

V \'e lez , author S

author author S. V \'e lez , author S. Ruiz-G \'o mez , author J. Schaab , author E. Gradauskaite , author M. S. \ W \"o rnle , author P. Welter , author B. J. \ Jacot , author C. L. \ Degen , author M. Trassin , author M. Fiebig , \ and\ author P. Gambardella ,\ 10.1038/s4156...

doi
[38]

Sampaio , author V

author author J. Sampaio , author V. Cros , author S. Rohart , author A. Thiaville , \ and\ author A. Fert ,\ 10.1038/nnano.2013.210 journal journal Nat. Nanotech. \ volume 8 ,\ pages 839 ( year 2023 ) NoStop

2013 doi
[39]

Zhang , author M

author author X. Zhang , author M. Ezawa , \ and\ author Y. Zhou ,\ 10.1038/srep09400 journal journal Sci. Rep. \ volume 5 ,\ pages 9400 ( year 2015 a ) NoStop

2015 doi
[40]

Tomasello , author E

author author R. Tomasello , author E. Martinez , author R. Zivieri , author L. Torres , author M. Carpentieri , \ and\ author G. Finocchio ,\ 10.1038/srep06784 journal journal Sci. Rep. \ volume 4 ,\ pages 6784 ( year 2014 ) NoStop

2014 doi
[41]

o ttcher , author P. Pirro , author G. Jakob , author U. Nowak , \ and\ author M. Kl \

author author T. Dohi , author M. Wei enhofer , author N. Kerber , author F. Kammerbauer , author Y. Ge , author K. Raab , author J. Z \'a zvorka , author M.-A. \ Syskaki , author A. Shahee , author M. Ruhwedel , author T. B \"o ttcher , author P. Pirro , author G. Jakob , aut...

doi
[42]

Sisodia , author J

author author N. Sisodia , author J. Pelloux-Prayer , author L. D. \ Buda-Prejbeanu , author L. Anghel , author G. Gaudin , \ and\ author O. Boulle ,\ 10.1103/PhysRevApplied.17.064035 journal journal Phys. Rev. Appl. \ volume 17 ,\ pages 064035 ( year 2022 ) NoStop

doi
[43]

Luo , author M

author author S. Luo , author M. Song , author X. Li , author Y. Zhang , author J. Hong , author X. Yang , author X. Zou , author N. Xu , \ and\ author L. You ,\ 10.1021/acs.nanolett.7b04722 journal journal Nano Lett. \ volume 18 ,\ pages 1180 ( year 2018 ) NoStop

doi
[44]

Feng , author J

author author Y. Feng , author J. Xia , author L. Qiu , author X. Cai , author L. Shen , author F. J. \ Morvan , author X. Zhang , author Y. Zhou , \ and\ author G. Zhao ,\ 10.1016/j.jmmm.2019.165610 journal journal J. Magn. Magn. Mater. \ volume 491 ,\ pages 165610 ( year 201...

2019
[45]

Garcia-Sanchez , author J

author author F. Garcia-Sanchez , author J. Sampaio , author N. Reyren , author V. Cros , \ and\ author J.-V. \ Kim ,\ 10.1088/1367-2630/18/7/075011 journal journal New J. Phys. \ volume 18 ,\ pages 075011 ( year 2016 ) NoStop

2016 doi
[46]

Heinze , author K

author author S. Heinze , author K. von Bergmann , author M. Menzel , author J. Brede , author A. Kubetzka , author R. Wiesendanger , author G. Bihlmayer , \ and\ author S. Bl \"u gel ,\ 10.1038/nphys2045 journal journal Nat. Phys. \ volume 7 ,\ pages 713 ( year 2011 ) NoStop

doi
[47]

Soumyanarayanan , author M

author author A. Soumyanarayanan , author M. Raju , author A. L. \ Gonzalez Oyarce , author A. K. C. \ Tan , author M.-Y. \ Im , author A. P. \ Petrovi \'c , author P. Ho , author K. H. \ Khoo , author M. Tran , author C. K. \ Gan , author F. Ernult , \ and\ author C. Panagopo...

doi
[48]

u ttner , author I. Lemesh , author M. Schneider , author B. Pfau , author C. M. \ G \

author author F. B \"u ttner , author I. Lemesh , author M. Schneider , author B. Pfau , author C. M. \ G \"u nther , author P. Hessing , author J. Geilhufe , author L. Caretta , author D. Engel , author B. Kr \"u ger , author J. Viefhaus , author S. Eisebitt , \ and\ author G...

doi
[49]

Finizio , author K

author author S. Finizio , author K. Zeissler , author S. Wintz , author S. Mayr , author T. We els , author A. J. \ Huxtable , author G. Burnell , author C. H. \ Marrows , \ and\ author J. Raabe ,\ 10.1021/acs.nanolett.9b02840 journal journal Nano Lett. \ volume 19 ,\ pages 7...

doi
[50]

Zhang , author Y

author author X. Zhang , author Y. Zhou , author K. S. \ Song , author T.-E. \ Park , author J. Xia , author M. Ezawa , author X. Liu , author W. Zhao , author G. Zhao , \ and\ author S. Woo ,\ 10.1088/1361-648X/ab5488 journal journal J. Phys.: Conden. Matter \ volume 32 ,\ pa...

doi
[51]

Vigo-Cotrina \ and\ author A

author author H. Vigo-Cotrina \ and\ author A. P. \ Guimar \ a es ,\ 10.1016/j.jmmm.2020.166848 journal journal J. Magn. Magn. Mater. \ volume 507 ,\ pages 166848 ( year 2020 ) NoStop

2020
[52]

Jiang , author X

author author W. Jiang , author X. Zhang , author G. Yu , author W. Zhang , author X. Wang , author M. Benjamin Jungfleisch , author J. E. \ Pearson , author X. Cheng , author O. Heinonen , author K. L. \ Wang , author Y. Zhou , author A. Hoffmann , \ and\ author S. G. E. \ te...

doi
[53]

u ger , author P. Bassirian , author L. Caretta , author K. Richter , author F. B \

author author K. Litzius , author I. Lemesh , author B. Kr \"u ger , author P. Bassirian , author L. Caretta , author K. Richter , author F. B \"u ttner , author K. Sato , author O. A. \ Tretiakov , author J. F \"o rster , author R. Reeve , author M. Weigand , author I. Bykova...

doi
[54]

Kasai , author S

author author S. Kasai , author S. Sugimoto , author Y. Nakatani , author R. Ishikawa , \ and\ author Y. K. \ Takahashi ,\ 10.7567/1882-0786/ab2baa journal journal Appl. Phys. Express \ volume 12 ,\ pages 083001 ( year 2019 ) NoStop

2019 doi
[55]

Mathur , author F

author author N. Mathur , author F. S. \ Yasin , author M. J. \ Stolt , author T. Nagai , author K. Kimoto , author H. Du , author M. Tian , author Y. Tokura , author X. Yu , \ and\ author S. Jin ,\ 10.1002/adfm.202008521 journal journal Adv. Funct. Mater. \ volume 31 ,\ pages...

doi
[56]

Ishikawa , author M

author author R. Ishikawa , author M. Goto , author H. Nomura , \ and\ author Y. Suzuki ,\ 10.1063/5.0128385 journal journal Appl. Phys. Lett. \ volume 121 ,\ pages 252402 ( year 2022 ) NoStop

2022 doi
[57]

Chen ,\ 10.1038/nphys4030 journal journal Nat

author author G. Chen ,\ 10.1038/nphys4030 journal journal Nat. Phys. \ volume 13 ,\ pages 112 ( year 2017 ) NoStop

2017 doi
[58]

Barker \ and\ author O

author author J. Barker \ and\ author O. A. \ Tretiakov ,\ 10.1103/PhysRevLett.116.147203 journal journal Phys. Rev. Lett. \ volume 116 ,\ pages 147203 ( year 2016 ) NoStop

2016 doi
[59]

author author R. L. \ Silva , author R. C. \ Silva , author A. R. \ Pereira , \ and\ author W. A. \ Moura-Melo ,\ 10.1088/1361-648X/ab0abd journal journal J. Phys.: Condens. Matter \ volume 31 ,\ pages 225802 ( year 2019 ) NoStop

2019 doi
[60]

author author R. L. \ Silva , author R. C. \ Silva , author A. R. \ Pereira , \ and\ author W. A. \ Moura-Melo ,\ 10.1063/5.0024003 journal journal J. Appl. Phys. \ volume 128 ,\ pages 163902 ( year 2020 ) NoStop

2020 doi
[61]

Zhang , author Y

author author X. Zhang , author Y. Zhou , \ and\ author M. Ezawa ,\ 10.1038/srep24795 journal journal Sci. Rep. \ volume 6 ,\ pages 24795 ( year 2016 ) NoStop

2016 doi
[62]

Jin , author C

author author C. Jin , author C. Song , author J. Wang , \ and\ author Q. Liu ,\ 10.1063/1.4967006 journal journal Appl. Phys. Lett. \ volume 109 ,\ pages 182404 ( year 2016 ) NoStop

2016 doi
[63]

Rai c c evi c \' c , author D

author author I. Rai c c evi c \' c , author D. Popovi c \' c , author C. Panagopoulos , author L. Benfatto , author M. B. \ Silva Neto , author E. S. \ Choi , \ and\ author T. Sasagawa ,\ 10.1103/PhysRevLett.106.227206 journal journal Phys. Rev. Lett. \ volume 106 ,\ pages 22...

doi
[64]

Gao , author H

author author S. Gao , author H. D. \ Rosales , author F. A. \ G\' o mez Albarrac\' i n , author V. Tsurkan , author G. Kaur , author T. Fennell , author P. Steffens , author M. Boehm , author P. c C erm\' a k , author A. Schneidewind , author E. Ressouche , author D. C. \ Cab...

doi
[65]

Dohi , author S

author author T. Dohi , author S. DuttaGupta , author S. Fukami , \ and\ author H. Ohno ,\ 10.1038/s41467-019-13182-6 journal journal Nat. Commun. \ volume 10 ,\ pages 5153 ( year 2019 ) NoStop

2019 doi
[66]

Juge , author N

author author R. Juge , author N. Sisodia , author J. U. \ Larra \ n aga , author Q. Zhang , author V. T. \ Pham , author K. G. \ Rana , author B. Sarpi , author N. Mille , author S. Stanescu , author R. Belkhou , author M.-A. \ Mawass , author N. Novakovic-Marinkovic , author...
[67]

Legrand , author D

author author W. Legrand , author D. Maccariello , author F. Ajejas , author S. Collin , author A. Vecchiola , author K. Bouzehouane , author N. Reyren , author V. Cros , \ and\ author A. Fert ,\ 10.1038/s41563-019-0468-3 journal journal Nat. Mater. \ volume 19 ,\ pages 34 ( y...

doi
[68]

Chen , author Y

author author R. Chen , author Y. Gao , author X. Zhang , author R. Zhang , author S. Yin , author X. Chen , author X. Zhou , author Y. Zhou , author J. Xia , author Y. Zhou , author S. Wang , author F. Pan , author Y. Zhang , \ and\ author C. Song ,\ 10.1021/acs.nanolett.0c00...

doi
[69]

He , author H

author author B. He , author H. Jin , author D. Zheng , author Y. Liu , author J. Li , author Y. Hu , author Y. Wang , author J. Zhang , author Y. Peng , author C. Wan , author T. Zhu , author X. Han , author S. Zhang , \ and\ author G. Yu ,\ 10.1021/acs.nanolett.3c04221 journ...

doi
[70]

author author P. M. \ Buhl , author F. Freimuth , author S. Blügel , \ and\ author Y. Mokrousov ,\ 10.1002/pssr.201700007 journal journal Phys. Status Solidi RRL \ volume 11 ,\ pages 1700007 ( year 2017 ) NoStop

2017 doi
[71]

G \"o bel , author A

author author B. G \"o bel , author A. Mook , author J. Henk , \ and\ author I. Mertig ,\ 10.1103/PhysRevB.96.060406 journal journal Phys. Rev. B \ volume 96 ,\ pages 060406 ( year 2017 ) NoStop

2017 doi
[72]

author author C. A. \ Akosa , author O. A. \ Tretiakov , author G. Tatara , \ and\ author A. Manchon ,\ 10.1103/PhysRevLett.121.097204 journal journal Phys. Rev. Lett. \ volume 121 ,\ pages 097204 ( year 2018 ) NoStop

2018 doi
[73]

c S mejkal , author Y

author author L. c S mejkal , author Y. Mokrousov , author B. Yan , \ and\ author A. H. \ MacDonald ,\ 10.1038/s41567-018-0064-5 journal journal Nat. Phys. \ volume 14 ,\ pages 242 ( year 2018 ) NoStop

2018 doi
[74]

Zhao , author X

author author L. Zhao , author X. Liang , author J. Xia , author G. Zhao , \ and\ author Y. Zhou ,\ 10.1039/C9NR10528J journal journal Nanoscale \ volume 12 ,\ pages 9507 ( year 2020 ) NoStop

2020 doi
[75]

Wang , author J

author author J. Wang , author J. Xia , author X. Zhang , author X. Zheng , author G. Li , author L. Chen , author Y. Zhou , author J. Wu , author H. Yin , author R. Chantrell , \ and\ author Y. Xu ,\ 10.1063/5.0025124 journal journal Appl. Phys. Lett. \ volume 117 ,\ pages 20...

doi
[76]

\ Jung , author H.-S

author author D.-H. \ Jung , author H.-S. \ Han , author N. Kim , author G. Kim , author S. Jeong , author S. Lee , author M. Kang , author M.-Y. \ Im , \ and\ author K.-S. \ Lee ,\ 10.1103/PhysRevB.104.L060408 journal journal Phys. Rev. B \ volume 104 ,\ pages L060408 ( year ...

doi
[77]

Song , author H

author author L. Song , author H. Yang , author B. Liu , author H. Meng , author Y. Cao , \ and\ author P. Yan ,\ 10.1016/j.jmmm.2021.167975 journal journal J. Magn. Magn. Mater. \ volume 532 ,\ pages 167975 ( year 2021 ) NoStop

2021
[78]

Feng , author X

author author Y. Feng , author X. Zhang , author G. Zhao , \ and\ author G. Xiang ,\ 10.1109/TED.2021.3138837 journal journal IEEE Trans. Electron. Devices \ volume 69 ,\ pages 1293 ( year 2022 ) NoStop

2021
[79]

Xu , author W

author author M. Xu , author W. Chen , author Y. Chen , author C. Hu , author Z. Zhang , author G. Jiang , \ and\ author J. Zhang ,\ 10.1088/1361-648X/ace6ea journal journal J. Phys.: Conden. Matter \ volume 35 ,\ pages 425801 ( year 2023 b ) NoStop

doi
[80]

Shu , author Q

author author Y. Shu , author Q. Li , author J. Xia , author P. Lai , author Y. Zhao , author Y. Zhou , author X. Liu , \ and\ author G. Zhao ,\ 10.1016/j.jmmm.2023.170387 journal journal J. Magn. Magn. Mater. \ volume 568 ,\ pages 170387 ( year 2023 ) NoStop

2023
[81]

Xu , author Z

author author M. Xu , author Z. Zhang , author J. Zhang , author G. Jiang , author Y. Chen , author W. Chen , \ and\ author C. Hu ,\ 10.1063/5.0142460 journal journal Appl. Phys. Lett. \ volume 122 ,\ pages 152404 ( year 2023 c ) NoStop

doi
[82]

Bindal , author R

author author N. Bindal , author R. K. \ Raj , \ and\ author B. K. \ Kaushik ,\ 10.1039/D2NA00748G journal journal Nanoscale Adv. \ volume 5 ,\ pages 450 ( year 2023 ) NoStop

2023 doi
[83]

Zhao , author L

author author C. Zhao , author L. Shen , author B. Cui , author B. He , author C. Wu , author J. Li , author Y. Guang , author Z. Nie , author X. Zheng , author G. Yin , author K. Shen , author H. Wang , author S. Liang , author Y. Zhou , author X. Han , \ and\ author G. Yu ,\...

doi
[84]

Chappert , author H

author author C. Chappert , author H. Bernas , author J. Ferré , author V. Kottler , author J.-P. \ Jamet , author Y. Chen , author E. Cambril , author T. Devolder , author F. Rousseaux , author V. Mathet , \ and\ author H. Launois ,\ 10.1126/science.280.5371.1919 journal jour...
[85]

Fassbender \ and\ author J

author author J. Fassbender \ and\ author J. McCord ,\ 10.1016/j.jmmm.2007.07.032 journal journal J. Magn. Magn. Mater. \ volume 320 ,\ pages 579 ( year 2008 ) NoStop

2007 doi
[86]

author author A. K. \ Bera , author A. S. \ Dev , \ and\ author D. Kumar ,\ 10.1063/5.0125851 journal journal Appl. Phys. Lett. \ volume 122 ,\ pages 022405 ( year 2023 ) NoStop

2023 doi
[87]

author author S. S. P. \ Parkin , author N. More , \ and\ author K. P. \ Roche ,\ 10.1103/PhysRevLett.64.2304 journal journal Phys. Rev. Lett. \ volume 64 ,\ pages 2304 ( year 1990 ) NoStop

1990 doi
[88]

Chen , author T

author author G. Chen , author T. Ma , author A. T. \ N’Diaye , author H. Kwon , author C. Won , author Y. Wu , \ and\ author A. K. \ Schmid ,\ 10.1038/ncomms3671 journal journal Nat. Commun. \ volume 4 ,\ pages 2671 ( year 2013 ) NoStop

doi
[89]

\ Yang , author K.-S

author author S.-H. \ Yang , author K.-S. \ Ryu , \ and\ author S. Parkin ,\ 10.1038/nnano.2014.324 journal journal Nat. Nanotech. \ volume 10 ,\ pages 221 ( year 2015 a ) NoStop

2014 doi
[90]

o ttcher , author S. Bl \

author author B. Dup \'e , author M. Bihlmayer , G.and B \"o ttcher , author S. Bl \"u gel , \ and\ author S. Heinze ,\ 10.1038/ncomms11779 journal journal Nat. Commun. \ volume 7 ,\ pages 11779 ( year 2016 ) NoStop

2016 doi
[91]

Matsuno , author N

author author J. Matsuno , author N. Ogawa , author K. Yasuda , author F. Kagawa , author W. Koshibae , author N. Nagaosa , author Y. Tokura , \ and\ author M. Kawasaki ,\ 10.1126/sciadv.1600304 journal journal Sci. Adv. \ volume 2 ,\ pages e1600304 ( year 2016 ) NoStop

doi
[92]

author author Z. R. \ Nunn , author C. Abert , author D. Suess , \ and\ author E. Girt ,\ 10.1126/sciadv.abd8861 journal journal Sci. Adv. \ volume 6 ,\ pages eabd8861 ( year 2020 ) NoStop

2020 doi
[93]

Saiki ,\ 10.1143/JPSJ.33.1284 journal journal J

author author K. Saiki ,\ 10.1143/JPSJ.33.1284 journal journal J. Phys. Soc. Japan \ volume 33 ,\ pages 1284 ( year 1972 ) NoStop

1972 doi
[94]

Rohart \ and\ author A

author author S. Rohart \ and\ author A. Thiaville ,\ 10.1103/PhysRevB.88.184422 journal journal Phys. Rev. B \ volume 88 ,\ pages 184422 ( year 2013 ) NoStop

2013 doi
[95]

Yang , author A

author author H. Yang , author A. Thiaville , author S. Rohart , author A. Fert , \ and\ author M. Chshiev ,\ 10.1103/PhysRevLett.115.267210 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 267210 ( year 2015 b ) NoStop

2015 doi
[96]

author author L. D. \ Landau \ and\ author E. Lifshitz ,\ http://cds.cern.ch/record/437299 journal journal Phys. Z. Sowjet. \ volume 8 ,\ pages 153 ( year 1935 ) NoStop

1935
[97]

Gilbert ,\ 10.1109/TMAG.2004.836740 journal journal IEEE Trans

author author T. Gilbert ,\ 10.1109/TMAG.2004.836740 journal journal IEEE Trans. Magn. \ volume 40 ,\ pages 3443 ( year 2004 ) NoStop

2004
[98]

Zhang \ and\ author Z

author author S. Zhang \ and\ author Z. Li ,\ 10.1103/PhysRevLett.93.127204 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 127204 ( year 2004 ) NoStop

2004 doi
[99]

Moutafis , author S

author author C. Moutafis , author S. Komineas , \ and\ author J. A. C. \ Bland ,\ 10.1103/PhysRevB.79.224429 journal journal Phys. Rev. B \ volume 79 ,\ pages 224429 ( year 2009 ) NoStop

2009 doi
[100]

Shen , author J

author author L. Shen , author J. Xia , author X. Zhang , author M. Ezawa , author O. A. \ Tretiakov , author X. Liu , author G. Zhao , \ and\ author Y. Zhou ,\ 10.1103/PhysRevLett.124.037202 journal journal Phys. Rev. Lett. \ volume 124 ,\ pages 037202 ( year 2020 ) NoStop

doi
[101]

Stier , author R

author author M. Stier , author R. Strobel , author S. Krause , author W. H\"ausler , \ and\ author M. Thorwart ,\ 10.1103/PhysRevB.103.054420 journal journal Phys. Rev. B \ volume 103 ,\ pages 054420 ( year 2021 ) NoStop

2021 doi
[102]

Toscano , author I

author author D. Toscano , author I. A. \ Santece , author R. C. O. \ Guedes , author H. S. \ Assis , author A. L. S. \ Miranda , author C. I. L. \ de Araujo , author F. Sato , author P. Z. \ Coura , \ and\ author S. A. \ Leonel ,\ 10.1063/5.0006219 journal journal J. Appl. Ph...

doi
[103]

author author R. C. \ Silva , author R. L. \ Silva , author V. L. \ Carvalho-Santos , author W. A. \ Moura-Melo , \ and\ author A. R. \ Pereira ,\ 10.1016/j.jmmm.2021.168997 journal journal J. Magn. Magn. Mater. \ volume 549 ,\ pages 168997 ( year 2022 ) NoStop

2021
[104]

author author R. C. \ Silva , author R. L. \ Silva , author J. C. \ Moreira , author W. A. \ Moura-Melo , \ and\ author A. R. \ Pereira ,\ 10.1063/5.0206403 journal journal J. Appl. Phys. \ volume 135 ,\ pages 183902 ( year 2024 ) NoStop

doi
[105]

Zhang , author G

author author X. Zhang , author G. P. \ Zhao , author H. Fangohr , author J. P. \ Liu , author W. X. \ Xia , author J. Xia , \ and\ author F. J. \ Morvan ,\ 10.1038/srep07643 journal journal Sci. Rep. \ volume 5 ,\ pages 7643 ( year 2015 b ) NoStop

doi

Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.

[1] [1]

Shinjo , author T

author author T. Shinjo , author T. Okuno , author R. Hassdorf , author K. Shigeto , \ and\ author T. Ono ,\ 10.1126/science.289.5481.930 journal journal Sci. \ volume 289 ,\ pages 930 ( year 2000 ) NoStop

doi:10.1126/science.289.5481.930

[2] [2]

author author K. Y. \ Guslienko ,\ doi:10.1166/jnn.2008.18305 journal journal J. Nanosci. Nanotechnol. \ volume 8 ,\ pages 2745 ( year 2008 ) NoStop

arXiv 2008

[3] [3]

Jung , author Y.-S

author author H. Jung , author Y.-S. \ Choi , author K.-S. \ Lee , author D.-S. \ Han , author Y.-S. \ Yu , author M.-Y. \ Im , author P. Fischer , \ and\ author S.-K. \ Kim ,\ 10.1021/nn3000143 journal journal ACS Nano \ volume 6 ,\ pages 3712 ( year 2012 ) ,\ note pMID: 22533663 NoStop

work page doi:10.1021/nn3000143

[4] [4]

Fert , author V

author author A. Fert , author V. Cros , \ and\ author J. Sampaio ,\ 10.1038/nnano.2013.29 journal journal Nat. Nanotech. \ volume 8 ,\ pages 152 ( year 2013 ) NoStop

doi:10.1038/nnano.2013.29 2013

[5] [5]

Nagaosa \ and\ author Y

author author N. Nagaosa \ and\ author Y. Tokura ,\ 10.1038/nnano.2013.243 journal journal Nat. Nanotech. \ volume 8 ,\ pages 899 ( year 2013 ) NoStop

doi:10.1038/nnano.2013.243 2013

[6] [6]

author author F. N. \ Rybakov , author A. B. \ Borisov , author S. Bl \"u gel , \ and\ author N. S. \ Kiselev ,\ 10.1103/PhysRevLett.115.117201 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 117201 ( year 2015 ) NoStop

work page doi:10.1103/physrevlett.115.117201 2015

[7] [7]

Sutcliffe ,\ 10.1088/1751-8121/aad521 journal journal J

author author P. Sutcliffe ,\ 10.1088/1751-8121/aad521 journal journal J. Phys. A: Math. Theor. \ volume 51 ,\ pages 375401 ( year 2018 ) NoStop

doi:10.1088/1751-8121/aad521 2018

[8] [8]

o ring , author C. Melcher , \ and\ author S. Bl \

author author F. N. \ Rybakov , author N. S. \ Kiselev , author A. B. \ Borisov , author L. D \"o ring , author C. Melcher , \ and\ author S. Bl \"u gel ,\ 10.1063/5.0099942 journal journal APL Mater. \ volume 10 ,\ pages 111113 ( year 2022 ) NoStop

doi:10.1063/5.0099942