Pith. sign in

REVIEW 2 major objections 4 minor 54 references

Electrical Control of Altermagnetism in a Quasi-1D Magnet

T0 review · 2 major / 4 minor · reviewed 2026-08-01 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Monolayer AgCrP2S6 becomes a d-wave altermagnet under an out-of-plane electric field, with up to 32 meV spin splitting.

desk verdict Solid symmetry analysis and a genuinely new quasi-1D route to altermagnetism, but the headline splitting is computed for a magnetic configuration that the paper doesn't show the field actually selects. read the letter →

arxiv 2607.16856 v1 pith:6D6R7UVG submitted 2026-07-18 cond-mat.mtrl-sci cond-mat.mes-hall

Alberto M. Ruiz , Cuiju Yu , Diego López-Alcalá , Jose L. Lado , Adolfo O. Fumega , José J. Baldoví This is my paper · ORCID
classification cond-mat.mtrl-scicond-mat.mes-hall
keywords altermagnetismquasi-1DantiferromagnetAgCrP2S6spinsplittingd-wavetextureelectricfieldcontroltight-bindingmodelferroelectricheterostructure
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

This paper argues that monolayer AgCrP2S6, a layered antiferromagnet built from weakly coupled Cr spin chains, turns into an altermagnet when an out-of-plane electric field breaks the equivalence of its two faces. In the ferromagnetic-interchain configuration, which the authors contend is nearly degenerate with the antiferromagnetic ground state, the field produces a nonrelativistic d-wave spin splitting that grows linearly with field strength, reaches 32 meV at 0.3 V/Å, and reverses sign when the field reverses. The origin is traced to anisotropic third-neighbor interchain hopping terms t′3, which connect same-spin sublattices through inequivalent local environments. Janus chemical substitution and a ferroelectric CuInP2S6/AgCrP2S6 sandwich are shown to produce the same symmetry-breaking mechanism, with the ferroelectric polarization direction controlling the sign of the splitting. If correct, embedded 1D magnetic chains become a general, externally switchable route to altermagnetism in 2D materials.

What carries the argument

The central objects are the spin-space-group symmetries [−1||m010|1/2,0,0] and T[−1||1] that survive out-of-plane symmetry breaking in the ferromagnetic-interchain configuration, together with the anisotropic third-neighbor interchain hopping t′3. The symmetry analysis dictates whether altermagnetism is allowed at all; the hopping anisotropy—encoded in a δt term in an effective tight-binding model with sublattice- and direction-dependent sign νd′3—is the microscopic quantity that breaks spin degeneracy and produces the d-wave spin texture. The model reproduces the first-principles band structure and Fermi surface, establishing the causal chain from symmetry-breaking to t′3 anisotropy to alte

What would settle it

Measure spin-resolved bands of a single-layer AgCrP2S6 device under a perpendicular electric field of 0.3 V/Å: if the splitting along Γ–M does not appear and reverse sign with field direction, or if neutron or magnetotransport data show the interchain order remains antiferromagnetic under the field, the central claim fails.

Watch

Extended reading notes

Core claim

The paper establishes that monolayer AgCrP2S6, which consists of strongly antiferromagnetic Cr zigzag chains weakly coupled through Ag atoms, preserves a combined inversion-time-reversal symmetry that pins the bands doubly degenerate. Removing the top/bottom equivalence of the monolayer—by an out-of-plane electric field, by substituting one chalcogen layer (Janus), or by sandwiching it between polarized ferroelectric CuInP2S6 layers—lifts that protection in the ferromagnetic-interchain magnetic configuration. Spin-space-group analysis identifies the surviving symmetries [−1||m010|1/2,0,0] and T[−1||1], which together permit a d-wave altermagnetic texture: momentum-dependent spin splitting th

Load-bearing premise

The paper assumes, without calculating, that an electric field (or substrate, strain, or charge transfer) will stabilize the ferromagnetic interchain magnetic alignment; in the DFT ground state the interchain coupling is antiferromagnetic, and that symmetry explicitly forbids altermagnetism.

Editorial extensions

If this is right

  • An out-of-plane electric field as small as 0.3 V/Å produces a 32 meV spin splitting in monolayer AgCrP2S6, making the material a candidate for electrically switchable spintronic devices.
  • Because the splitting is nonrelativistic, it does not rely on heavy elements and is robust against spin-orbit coupling, as directly verified in the band-structure calculations.
  • Janus substitution (Se, Te, or O on one surface) induces the same altermagnetic texture with even larger splittings (up to 100 meV), providing a chemical design axis independent of field application.
  • A ferroelectric CuInP2S6/AgCrP2S6/CuInP2S6 sandwich enables polarization-controlled spin-split bands: parallel polarizations give opposite spin splitting for opposite polarization directions, while antiparallel polarization restores spin-degenerate bands, all without interfacial charge transfer.
  • The mechanism—anisotropic third-neighbor interchain hoppings in a quasi-1D chain lattice—is generic; other layered magnets hosting weakly coupled magnetic chains should exhibit the same electrically controlled altermagnetic response.

Reading between the lines

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

  • If the ferromagnetic interchain configuration can be stabilized by strain, substrate, or field, the AF→FM transition itself could act as a switch between spin-degenerate and spin-split electronic structures, enabling a magnetoelectric toggle for altermagnetism.
  • The d-wave altermagnetic texture would generate transverse spin currents; a spin-split band structure along M–Γ–M2 could be probed with spin-resolved photoemission, providing a direct experimental test.
  • The interchain coupling is only −0.1 meV/Cr, meaning perturbations far smaller than room-temperature thermal energies could flip the relevant magnetic configuration; this sensitivity could make the altermagnetic phase either fragile or highly tunable in real devices.
  • The predicted difference of only 0.002 meV between the two interchain J′3 couplings suggests a very subtle magnon signature; if measurable, it would independently confirm the hopping-anisotropy mechanism.
Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

2 major / 4 minor

Summary. Using DFT and spin-space-group (SSG) analysis, the authors study monolayer AgCrP2S6, a quasi-1D antiferromagnet with Cr chains. They show that the pristine monolayer preserves PT symmetry and hence has spin-degenerate bands. An out-of-plane electric field breaks PT; for the ferromagnetic (FM) interchain magnetic configuration, the residual SSG symmetries allow a nonrelativistic d-wave altermagnetic splitting. DFT yields a splitting up to 32 meV at 0.3 V/Å, linear in field strength, sign-reversing with field direction, and SOC-independent, with nodal lines along Γ–X and Γ–M. A tight-binding model attributes the effect to anisotropic third-neighbor interchain hoppings. Janus substitution and a CuInP2S6 ferroelectric sandwich are also explored as alternative routes. The central caveat is that the DFT value J_inter = −0.1 meV/Cr favors the AF-interchain ground state, for which the SSG symmetry forbids altermagnetism; the FM-interchain state is assumed rather than shown to be stabilized by the applied field or interface.

Significance. If the central claim is fully established, the work would identify a new materials class—embedded quasi-1D antiferromagnetic chains in 2D thiophosphates—for external control of altermagnetism, with a large nonrelativistic splitting of 32 meV at a moderate field. The SSG analysis is rigorous and internally consistent: the SOC-independence, the nodal-line structure, the sign reversal, and the linear field dependence all follow from the stated symmetry argument. The paper also provides phonon stability, Wannier-based exchange couplings, and multiple engineering routes, which are useful strengths. However, the material-specific quantitative prediction is currently conditional on the FM-interchain state, which is not the DFT ground state; whether the perturbation actually selects that state is not demonstrated. The work is therefore a strong symmetry-based proposal, but not yet a definitive demonstration of electrical control of altermagnetism in AgCrP2S6.

major comments (2)
  1. [Sec. 2, Figs. 1–2 (J_inter and SSG analysis)] The DFT calculation gives J_inter = E_AF − E_FM = −0.1 meV/Cr, so the zero-field ground state is AF-interchain. For that configuration under an out-of-plane field, the SSG analysis presented in the text yields [−1||1|0,1/2,0], which forbids altermagnetism. The entire 32 meV splitting at 0.3 V/Å is computed only for the FM-interchain state. The paper states that 'modest external perturbations... could stabilize' the FM order, but no calculation of J_inter as a function of field strength (or in the Janus/heterostructure systems) is provided. Since the sign and magnitude of the AF–FM energy difference under the perturbation is exactly the condition that determines whether the predicted AM state exists, this is a load-bearing gap. The symmetry machinery is sound, but the material-specific prediction is conditional on an unverified assumption.
  2. [Janus substitution and Fig. S10] The Janus d-wave splitting (up to 100 meV) is presented without stating the interchain magnetic configuration used or reporting the corresponding J_inter. If the Janus structures retain AF-interchain order, the same [−1||1|0,1/2,0] symmetry argument would forbid altermagnetism. A calculation of the magnetic ground state / J_inter for the Janus structures, or an explicit demonstration that FM interchain order is stabilized, is needed before this can be regarded as a second realization of the proposed mechanism.
minor comments (4)
  1. [Eq. (1) / Tight-binding model] The tight-binding model inserts the anisotropic hopping δt by hand and then reproduces the d-wave splitting. Since no Wannier-fit value of δt is reported, the model is illustrative rather than an independent derivation of the anisotropy. A statement distinguishing 'demonstrated by DFT' from 'captured by model' would avoid a circularity concern.
  2. [Methods / numerical details] The calculations use GGA without an explicit Hubbard U or hybrid functional. For a Cr-based magnetic insulator, the near-degeneracy J_inter = −0.1 meV/Cr could be functional-sensitive. A +U or HSE test for the magnetic ground state and for J_inter(E) would strengthen the quantitative claims.
  3. [Typographical and notation issues] There are several typographical issues: 'P2/aspace group' (missing space), 'nonrelativisticd-wave', '2.82µ B', and inconsistent italics for lattice constants a and b. The SSG notation such as [−1||m010|1/2,0,0] is not defined in the main text; a brief explanation would help non-specialist readers.
  4. [Field-dependence statement (Fig. 2b)] The text states the splitting 'increases linearly with field strength'. Specify the set of field values computed and, if possible, show the data points in Fig. 2b so the linearity is directly verifiable.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the DFT and spin-space-group results are self-contained; the TB model is explanatory, not a fitted prediction.

full rationale

The paper's derivation chain has three independent strands: (1) a spin-space-group analysis that identifies the FM-interchain configuration under broken out-of-plane inversion as altermagnetic ([−1||m010|1/2,0,0] plus T[−1||1]), while the AF-interchain configuration retains [−1||1|0,1/2,0] and is non-altermagnetic; (2) DFT band-structure calculations for the FM-interchain state under ±E fields, giving a d-wave splitting up to 32 meV at 0.3 V/Å with no fitted parameters; (3) an effective tight-binding Hamiltonian, eq. (1), that inserts a ±δt third-neighbor interchain hopping anisotropy and shows that a finite δt produces a d-wave Fermi surface. This last step is an explanatory model, not a first-principles prediction: δt is introduced by hand and the resulting splitting is a consequence of that term, but the paper does not fit δt to the DFT splitting or use the model to argue that AgCrP2S6 will be altermagnetic; the DFT and symmetry analyses stand independently. Self-citations (refs 9, 12, 15, 17, 46) are used as contextual examples and are not load-bearing for the central claim. The one substantive caveat is that the 32 meV splitting is calculated for the FM-interchain magnetic configuration, while the paper's own DFT gives J_inter = E_AF − E_FM = −0.1 meV/Cr, i.e., the zero-field ground state is AF-interchain. The authors state: 'Given this near degeneracy, we anticipate that modest external perturbations such as substrates, strain or interfacial charge transfer could stabilize either interchain magnetic alignment... we focus on the FM interchain alignment, which is the symmetry-allowed AM phase.' No calculation of J_inter(E) is shown, so whether the field actually stabilizes the FM alignment is an unverified physical condition. This is a correctness/realizability risk, not an algebraic circularity: the DFT is internally consistent and the AF-interchain symmetry analysis explicitly forbids the splitting if that order survives. Therefore no step reduces by construction to its input.

Assumptions & free parameters 1 free parameters · 4 assumptions · 0 invented entities

The central claim leans on four upstream assumptions: (i) the SSG altermagnetism classification, imported from refs 1-3, 15, 35; (ii) GGA without Hubbard U as an adequate electronic-structure description, on which the quantitative split values (32 meV, 100 meV) and the 1.4 eV gap depend; (iii) the untested premise that external perturbations stabilize the FM-interchain configuration despite the -0.1 meV/Cr AF ground state; and (iv) the standard slab-field DFT representation of a physical electric field. The only hand-inserted parameter is delta-t in the TB model, which is the mechanism's enabling input and is not quantitatively fitted to or extracted from the Wannier Hamiltonian.

free parameters (1)
  • delta-t
    Anisotropy of the third-neighbor interchain hopping t'3, inserted by hand in eq. (1); delta-t=0 gives spin-degenerate AF bands and delta-t != 0 produces the d-wave AM splitting. No numerical value is given, no quantitative fit to the DFT 32 meV splitting is shown, and the model conclusion (anisotropic hoppings cause the splitting) is therefore built into the model input.
assumptions (4)
  • standard math Spin-space-group altermagnetism criteria (PT-absence plus rotational/mirror relation of opposite-spin sublattices)
    Invoked from refs 1-3, 15, 35; the classification framework is imported, not rederived.
  • domain assumption GGA without Hubbard U adequately describes the electronic structure and magnetic order of AgCrP2S6
    The Methods section mentions only GGA; no U value or functional sensitivity is given. The quantitative claims (32 meV and 100 meV splittings, 1.4 eV gap) rest on this choice.
  • ad hoc to paper External perturbations can stabilize the FM-interchain configuration despite J_inter = -0.1 meV/Cr favoring AF interchain order
    Paper 'anticipates' this from an analogy with CrTe2 and Cr2Se3 (refs 37-38); no calculation shows that the electric field, Janus substitution, or CuInP2S6 interface actually flips the interchain coupling.
  • domain assumption DFT with an out-of-plane electric field on a vacuum-slab model faithfully represents the physical field or gating
    Standard slab-field practice; the paper does not describe the implementation (sawtooth vs. dipole correction) or discuss gating vs. field-modeling artifacts.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Electrical Control of Altermagnetism in a Quasi-1D Magnet." pith.science (2026). https://pith.science/paper/6D6R7UVG

@misc{pith2026260716856,
  author       = {Pith},
  title        = {Pith review of: Electrical Control of Altermagnetism in a Quasi-1D Magnet},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/6D6R7UVG}},
  note         = {Machine review of arXiv:2607.16856}
}
abstract

Altermagnetism is a collinear magnetic state characterized by momentum-dependent spin splitting in fully compensated materials. While widely investigated in systems governed by three- or two-dimensional exchange interactions, its extension to quasi-one-dimensional magnets remains almost unexplored. Focusing on the experimentally established AgCrP$_2$S$_6$ van der Waals magnet, we demonstrate that antiferromagnetic chains embedded in a two-dimensional lattice provide a general route to altermagnetism. Combining first-principles calculations and spin-space-group analysis, we show that out-of-plane symmetry breaking can generate a nonrelativistic d-wave spin splitting. An external out-of-plane electric field validates this mechanism, where the induced splitting increases linearly with field strength and reverses sign with field direction. We rationalize such behaviour by constructing an effective tight-binding model, which links the altermagnetic response to anisotropic third-neighbor interchain hoppings. Additionally, we show that Janus substitution also induces a d-wave spin texture, while ferroelectric interfacing with CuInP$_2$S$_6$ enables polarization-controlled spin-split bands in a fully compensated ferrimagnetic state. Our results establish quasi-one-dimensional antiferromagnets as building blocks for altermagnetism.

Figures

Figures reproduced from arXiv: 2607.16856 by the authors.

Figure 1
Figure 1. a) Top view of monolayer AgCrP2S6 . Color code: Ag (gray), Cr (dark blue), P (pale violet) and S (yellow). b) Side view of monolayer AgCrP2S6 . c,d) Top views of the interchain AF and FM configurations, respectively, in pristine AgCrP2S6 . Blue and red Cr atoms denote spin up and spin down states, respectively, with arrows indicating the spin direction. e) Side view of monolayer AgCrP2S6 under an out-of-plane electr… view at source ↗
Figure 2
Figure 2. a) Electronic band structures of pristine AgCrP2S6 and AgCrP2S6 under out-of-plane electric fields of +0.3 V/Å and −0.3 V/Å, from left to right, respectively. Blue and red color in the band structure denote spin up and spin down states, respectively. b) Evolution of the maximum spin splitting near the Fermi level as a function of the applied electric field. c) Momentum-resolved maximum spin splitting under an electr… view at source ↗
Figure 3
Figure 3. a) Top view of monolayer AgCrP2S6 highlighting in green and purple the two inequivalent local environments associated with the third-neighbor interchain hopping pathways. Bottom-layer S atoms are shown in lighter yellow to illustrate the effect of the out-of-plane electric field and highlight their inequiva￾lence with respect to the top-layer S atoms. Blue and red balls represent spin up and spin down Cr sites, resp… view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: a) Side and top views of the CuInP2S6/AgCrP2S6/CuInP2S6 heterostructure, shown for the up-up configuration. Color code: Cu (light blue), In (pink), Ag (gray), Cr (dark blue), P (pale violet) and S (yellow).b–d) Schematic representation of the three polar configurations…

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

54 extracted references

  1. [1]

    Altermagnetism: A chemical perspective , author=. J. Am. Chem. Soc. , volume=. 2025 , publisher=

    2025

  2. [2]

    Nature , volume=

    Symmetry, microscopy and spectroscopy signatures of altermagnetism , author=. Nature , volume=. 2026 , publisher=

    2026

  3. [3]

    Emerging research landscape of altermagnetism , author=. Phys. Rev. X , volume=. 2022 , publisher=

    2022

  4. [4]

    Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry , author=. Phys. Rev. X , volume=. 2022 , publisher=

    2022

  5. [5]

    Nature , volume=

    Altermagnetic lifting of Kramers spin degeneracy , author=. Nature , volume=. 2024 , publisher=

    2024

  6. [6]

    Ferroelectric switchable altermagnetism , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  7. [7]

    Nano Lett

    Two-dimensional ferroelectric altermagnets: From model to material realization , author=. Nano Lett. , volume=. 2025 , publisher=

    2025

  8. [8]

    Nano Lett

    Electric-field-induced switchable two-dimensional altermagnets , author=. Nano Lett. , volume=. 2024 , publisher=

    2024

Show all 54 references
  1. [9]

    Antiferroelectric altermagnets: Antiferroelectricity alters magnets , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  2. [10]

    Chemical Engineering of Altermagnetism in Two-Dimensional Metal--Organic Frameworks , author=. J. Am. Chem. Soc. , year=

  3. [11]

    Altermagnetism, piezovalley, and ferroelectricity in two-dimensional

    Khan, Imran and Bezzerga, Djamel and Marfoua, Brahim and Hong, Jisang , journal=. Altermagnetism, piezovalley, and ferroelectricity in two-dimensional. 2025 , publisher=

    2025

  4. [12]

    Nano Lett

    Realizing abundant two-dimensional altermagnets with anisotropic spin current via spatial inversion symmetry breaking , author=. Nano Lett. , volume=. 2025 , publisher=

    2025

  5. [13]

    npj Quantum Mater

    Altermagnetism and strain induced altermagnetic transition in Cairo pentagonal monolayer , author=. npj Quantum Mater. , volume=. 2025 , publisher=

    2025

  6. [14]

    npj 2D Mater

    Multiferroic nematic d-wave altermagnetism driven by orbital-order on the honeycomb lattice , author=. npj 2D Mater. Appl. , volume=. 2025 , publisher=

    2025

  7. [15]

    Nano Lett

    Twist-induced altermagnetism in a metallic van der Waals antiferromagnet , author=. Nano Lett. , year=

  8. [16]

    Altermagnetic Metal--Organic Frameworks , author=. J. Am. Chem. Soc. , year=

  9. [17]

    2024 , publisher=

    Shi, Bingxian and Geng, Yanyan and Wang, Hengning and Yang, Jianhui and Shang, Chenglin and Wang, Manyu and Mi, Shuo and Huang, Jiale and Pan, Feihao and Gui, Xuejuan and others , journal=. 2024 , publisher=

    2024

  10. [18]

    Enhanced

    Zhang, Jiali and Shi, Bingxian and Xu, Haoran and Song, Yiwen and Zou, Yuqing and Li, Ziyang and Dai, Hongtao and Song, Yuna and Jin, Qingyuan and Cheng, Peng and others , journal=. Enhanced. 2025 , publisher=

    2025

  11. [19]

    and Shumilin, Andrei and Dey, Sourav and L

    Ruiz, Alberto M. and Shumilin, Andrei and Dey, Sourav and L. Tunable itinerant ferromagnetism in two-dimensional. Newton , volume =. 2026 , doi =

    2026

  12. [20]

    Atomic-to-mesoscale twinning effects and strain-driven magnetic states in an anisotropic 2D ferromagnet

    Mi, Shuo and Wang, Manyu and Shi, Bingxian and Li, Songyang and Pei, Xiaoxiao and Geng, Yanyan and Meng, Shumin and Xu, Rui and Huang, Li and Ji, Wei and others , journal=. Atomic-to-mesoscale twinning effects and strain-driven magnetic states in an anisotropic 2D ferromagnet....

    2025

  13. [21]

    Anisotropic 2D van der Waals magnets hosting 1D spin chains , author=. Adv. Mater. , volume=. 2024 , publisher=

    2024

  14. [22]

    Tunable in-plane conductance anisotropy in 2D semiconductive

    Sun, Yujie and Zhang, Rongjie and Tan, Junyang and Zeng, Shengfeng and Li, Shengnan and Wei, Qiang and Zhang, Zhi-Yuan and Zhao, Shilong and Zou, Xiaolong and Liu, Bilu and others , journal=. Tunable in-plane conductance anisotropy in 2D semiconductive. 2025 , publisher=

    2025

  15. [23]

    One-dimensional Heisenberg antiferromagnet with spin s=3/2 : experiments on

    Mutka, H and Payen, C and Molini. One-dimensional Heisenberg antiferromagnet with spin s=3/2 : experiments on. EPL , volume=

  16. [24]

    Mirror Symmetry Triggered Chiral Phonon Behavior and Phonon Mode-Dependent Magneto-Optical Modulation in 2D Space- and Time-Symmetric

    Xu, Jinsheng and Li, Liangyu and Wang, Ningfang and Chang, Xiao and Xiao, Rui-Chun and Hu, Xintong and Zhu, Hao and Wu, Gang and Li, Bolin and Yang, Xiaoping and others , journal=. Mirror Symmetry Triggered Chiral Phonon Behavior and Phonon Mode-Dependent Magneto-Optical Modul...

    2026

  17. [25]

    Indirect Band Edge and Chain-Locked Linear Dichroism in the Quasi-1D van der Waals Antiferromagnet

    Volochanskyi, Oleksandr and Juergensen, Sabrina and Vale. Indirect Band Edge and Chain-Locked Linear Dichroism in the Quasi-1D van der Waals Antiferromagnet. Adv. Funct. Mater. , pages=. 2026 , publisher=

    2026

  18. [26]

    Anomalous spin dynamics and excitations of the quasizigzag chain compound

    Lee, Hyun-gi and Koo, Changhyun and Choi, Youngsu and Oshima, Yugo and Ulaganathan, Rajesh Kumar and Kalaivanan, Raju and Sankar, Raman and Choi, Kwang-Yong , journal=. Anomalous spin dynamics and excitations of the quasizigzag chain compound. 2025 , publisher=

    2025

  19. [27]

    Room-temperature ferroelectricity in

    Liu, Fucai and You, Lu and Seyler, Kyle L and Li, Xiaobao and Yu, Peng and Lin, Junhao and Wang, Xuewen and Zhou, Jiadong and Wang, Hong and He, Haiyong and others , journal=. Room-temperature ferroelectricity in. 2016 , publisher=

    2016

  20. [28]

    2015 , publisher=

    Belianinov, Alex and He, Qian and Dziaugys, Andrius and Maksymovych, Petro and Eliseev, Eugene and Borisevich, A and Morozovska, A and Banys, Juras and Vysochanskii, Yulian and Kalinin, Sergei V , journal=. 2015 , publisher=

    2015

  21. [29]

    Large-scale domain engineering in two-dimensional ferroelectric

    Chen, Chen and Liu, Heng and Lai, Qinglin and Mao, Xiaoyu and Fu, Jun and Fu, Zhaoming and Zeng, Hualing , journal=. Large-scale domain engineering in two-dimensional ferroelectric. 2022 , publisher=

    2022

  22. [30]

    Temperature-dependent Raman scattering and x-ray diffraction study of phase transitions in layered multiferroic

    Susner, MA and Rao, R and Pelton, AT and McLeod, MV and Maruyama, B , journal=. Temperature-dependent Raman scattering and x-ray diffraction study of phase transitions in layered multiferroic. 2020 , publisher=

    2020

  23. [31]

    Tunable ferroelectricity in van der Waals layered antiferroelectric

    Cho, Kwanghee and Lee, Seungyeol and Kalaivanan, Raju and Sankar, Raman and Choi, Kwang-Yong and Park, Soonyong , journal=. Tunable ferroelectricity in van der Waals layered antiferroelectric. 2022 , publisher=

    2022

  24. [32]

    Neutron diffraction study on

    Kurosawa, Ko and Saito, Shozo and Yamaguchi, Yasuo , journal=. Neutron diffraction study on. 1983 , publisher=

    1983

  25. [33]

    Persistence of magnetism in atomically thin

    Long, Gen and Henck, Hugo and Gibertini, Marco and Dumcenco, Dumitru and Wang, Zhe and Taniguchi, Takashi and Watanabe, Kenji and Giannini, Enrico and Morpurgo, Alberto F , journal=. Persistence of magnetism in atomically thin. 2020 , publisher=

    2020

  26. [34]

    Emergent altermagnetism and topological response in Janus MnPSX monolayers , author=. Sci. Rep. , volume=. 2026 , publisher=

    2026

  27. [35]

    Nano Lett

    Altermagnetism induced by sliding ferroelectricity via lattice symmetry-mediated magnetoelectric coupling , author=. Nano Lett. , volume=. 2024 , publisher=

    2024

  28. [36]

    Multidimensional control of altermagnetism via symmetry engineering in van der Waals heterostructures , author=. Phys. Rev. B , volume=. 2026 , publisher=

    2026

  29. [37]

    Tunable altermagnetism via interchain engineering in parallel-assembled atomic chains , author=. Phys. Rev. B , volume=. 2025 , publisher=

    2025

  30. [38]

    Room-temperature two-dimensional multiferroic metal with voltage-controllable magnetic order , author=. Nat. Mater. , pages=. 2026 , publisher=

    2026

  31. [39]

    Spin-valley coupling enhanced high- T_

    Chuang, C-W and Kawakami, Tappei and Sugawara, Katsuaki and Nakayama, Kosuke and Souma, Seigo and Kitamura, Miho and Amemiya, Kenta and Horiba, Koji and Kumigashira, Hiroshi and Kremer, Geoffroy and others , journal=. Spin-valley coupling enhanced high- T_. 2025 , publisher=

    2025

  32. [40]

    Twisted magnetic van der Waals bilayers: An ideal platform for altermagnetism , author=. Phys. Rev. Lett. , volume=. 2024 , publisher=

    2024

  33. [41]

    Minimal models for altermagnetism , author=. Phys. Rev. B , volume=. 2024 , publisher=

    2024

  34. [42]

    Local signatures of altermagnetism , author=. Phys. Rev. B , volume=. 2025 , publisher=

    2025

  35. [43]

    Nano Lett

    Switchable Altermagnetism Induced by Polyhedral Rotation Distortion , author=. Nano Lett. , year=

  36. [44]

    Dalton Trans

    Tailoring spin waves in 2D transition metal phosphorus trichalcogenides via atomic-layer substitution , author=. Dalton Trans. , volume=. 2022 , publisher=

    2022

  37. [45]

    Flat band induced quasi-one-dimensional magnon transport in a two-dimensional spin lattice , author=. Nat. Commun. , year=

  38. [46]

    Chiral magnons in altermagnetic. Phys. Rev. Lett. , volume=. 2023 , publisher=

    2023

  39. [47]

    Chiral split magnon in altermagnetic

    Liu, Zheyuan and Ozeki, Makoto and Asai, Shinichiro and Itoh, Shinichi and Masuda, Takatsugu , journal=. Chiral split magnon in altermagnetic. 2024 , publisher=

    2024

  40. [48]

    Observation of chiral magnon band splitting in altermagnetic hematite , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  41. [49]

    Prediction of intrinsic two-dimensional ferroelectrics in

    Ding, Wenjun and Zhu, Jianbao and Wang, Zhe and Gao, Yanfei and Xiao, Di and Gu, Yi and Zhang, Zhenyu and Zhu, Wenguang , journal=. Prediction of intrinsic two-dimensional ferroelectrics in. 2017 , publisher=

    2017

  42. [50]

    Chemical Symmetry Breaking Enables Interconversion between Altermagnetic and Compensated Ferrimagnetic States , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  43. [51]

    Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set , author=. Phys. Rev. B , volume=. 1996 , publisher=

    1996

  44. [52]

    2008 , publisher=

    Mostofi, Arash A and Yates, Jonathan R and Lee, Young-Su and Souza, Ivo and Vanderbilt, David and Marzari, Nicola , journal=. 2008 , publisher=

    2008

  45. [53]

    First principles phonon calculations in materials science , author=. Scr. Mater. , volume=. 2015 , publisher=

    2015

  46. [54]

    2021 , publisher=

    He, Xu and Helbig, Nicole and Verstraete, Matthieu J and Bousquet, Eric , journal=. 2021 , publisher=

    2021

Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.