REVIEW 4 major objections 5 minor 88 references
Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn
T0 review · 4 major / 5 minor · reviewed 2026-08-16 · deepseek-v4-flash
Pith's one-line read The paper establishes that the inverse Heusler alloy Mn2PdIn, despite a spin-glassy nearly compensated magnetic state, hosts Weyl-type band crossings and an intrinsic anomalous Hall effect driven by Berry curvature and Fermi surface…
desk verdict Solid experimental study of a new AHE material, but the Berry-curvature/Weyl interpretation rests on a collinear magnetic state that the paper's own data say is not the ground state. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing object is the nesting geometry of the Fermi surface in a time-reversal-broken, spin-orbit-coupled metal. A nesting vector $q_{\rm nest}\sim\Gamma\to X$ connects dispersive Mn $e_g$ electron-like pockets at $\Gamma$ with quasi-flat, hybridized Mn $t_{2g}$-Pd $t_{2g}$ hole-like pockets near $X$; the near-parallel contours and the orbital contrast between them enhance interband scattering, while spin-orbit coupling opens small gaps of order 20-50 meV at the band crossings and turns those crossings into sources and sinks of Berry curvature. The linear-response formalism then integrates this Berry curvature over the Brillouin zone to obtain an intrinsic anomalous Hall conductivity, and the quadratic relation $\rho^A_{xy}\propto\rho_{xx}^2$ together with a temperature-independent $\sigma^A_{xy}$ is used as the experimental fingerprint of that intrinsic mechanism.
What would settle it
A neutron diffraction or muon-spin rotation experiment below the freezing temperature could settle it: if it finds no collinear ferrimagnetic order with manganese moments near $\pm 3.5\,\mu_B$, the computed Weyl crossings, nesting vector, and Berry curvature cannot be the mechanism producing the measured anomalous Hall effect.
Extended reading notes
Core claim
The central claim is that Mn2PdIn is a topologically nontrivial metal whose anomalous Hall effect is intrinsic. In the paper's picture, the inverse Heusler structure hosts two inequivalent manganese sublattices with opposing moments ($+3.75$ and $-3.48\,\mu_B$ from first-principles calculations; net $0.39\,\mu_B$ per formula unit, against $0.46\,\mu_B$ from magnetization data), leaving a nearly compensated ferrimagnet that freezes into a spin cluster glass below about 65.5 K. First-principles electronic-structure calculations with spin-orbit coupling find Weyl-type band crossings close to the Fermi level and a Fermi surface with an electron-like Mn $e_g$ pocket at $\Gamma$ nested against hole-like Mn $t_{2g}$/Pd $t_{2g}$ pockets near $X$ through a nesting vector $q_{\rm nest}\sim\Gamma\to X$. Linear-response integration of the Berry curvature gives an intrinsic anomalous Hall conductivity of about 132 S cm$^{-1}$ at the Fermi level, rising to roughly 937-1003 S cm$^{-1}$ when the chemical potential is shifted by $-2.1$ or $+0.8$ eV. Experimentally, the anomalous Hall resistivity obeys $\rho^A_{xy}\propto\rho_{xx}^2$, the anomalous Hall conductivity is about 50 S cm$^{-1}$ and nearly temperature independent, and scaling analysis places skew scattering as a minor contributor; the paper reads these as confirmation that the anomalous Hall effect is dominated by the intrinsic Berry-curvature/nesting mechanism.
Load-bearing premise
The calculations assume a collinear ferrimagnetic arrangement of the manganese moments with values near $+3.75$ and $-3.48\,\mu_B$, whereas the measured sample is a spin cluster glass with no confirmed long-range magnetic order; if the true magnetic structure differs, the predicted Weyl crossings, nesting vector, and Berry curvature need not describe the measured Hall effect.
Editorial extensions
If this is right
- Mn2PdIn becomes a concrete example of an inverse Heusler alloy with suppressed net magnetization and an intrinsic anomalous Hall response, relevant for spintronic applications.
- The Fermi-surface nesting criterion (nested electron- and hole-like pockets with orbital contrast in a spin-orbit-coupled magnet) can be used to screen other Heusler and related intermetallics for anomalous Hall activity.
- Because the computed anomalous Hall conductivity rises strongly when the chemical potential shifts away from the Fermi level, doping or strain that moves $E_F$ should produce a much larger intrinsic anomalous Hall effect than measured in the stoichiometric compound.
- The quadratic $\rho^A_{xy}$-$\rho_{xx}$ scaling, together with the scaling analysis, implies that skew scattering is not the origin of the anomalous Hall effect; intrinsic and side-jump contributions dominate even in a spin-glass host.
Reading between the lines
- Going beyond the paper, if the true magnetic ground state is a noncollinear cluster glass rather than the collinear ferrimagnet assumed in the calculations, the measured Hall effect might instead arise from local noncollinear spin textures or disorder-modified bands; neutron scattering would decide between these.
- Going beyond the paper, the predicted sharp rise of the anomalous Hall conductivity when the chemical potential shifts by $-2.1$ or $+0.8$ eV makes doping a direct test: substituting a neighboring element to move $E_F$ should either produce a much larger anomalous Hall effect or rule out the band-structure mechanism.
- Going beyond the paper, the nesting criterion itself is transferable: screening isostructural Mn$_2$Pd-based and related Heusler compounds for parallel Fermi contours with contrasting orbital character could identify other anomalous-Hall-active magnets.
- Going beyond the paper, angle-resolved photoemission on a single crystal could directly test the calculated flat Mn $e_g$/Pd $t_{2g}$ bands and the Weyl-type crossings near the Fermi level.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports a combined experimental and DFT study of the inverse Heusler compound Mn2PdIn. Experimental characterization by XRD, TEM, magnetometry, ac susceptibility, and transport shows a spin cluster-glass ground state with quenched magnetization and an anomalous Hall effect (σ_xy ≈ 50 S/cm at 5 K) whose ρ_A versus ρ_xx scaling is quadratic. DFT calculations assume a collinear ferrimagnetic state with opposing Mn moments (net 0.39 μB/f.u.) and yield Weyl-type crossings near E_F, pronounced Fermi-surface nesting, and an intrinsic anomalous Hall conductivity of about 132 S/cm. The paper argues that the measured AHE originates from this topological electronic structure and proposes nesting-induced inter-orbital scattering as a design criterion for AHE-active Heusler compounds.
Significance. If the interpretation were sound, the work would be significant: it would identify a nearly compensated magnetic Heusler system with a robust AHE and propose a concrete electronic-structure design criterion. The experimental data set is fairly complete and internally consistent, and the use of standard TYJ scaling is appropriate as a first step. The DFT calculation is ab initio and not fitted to the measured AHE. However, the central interpretive link is weakened by the mismatch between the magnetic state assumed in the calculation and the state actually characterized in the experiment; the calculated topological properties and AHC cannot be directly assigned to the measured sample without additional evidence. This issue is load-bearing for the paper's main claims.
major comments (4)
- [Magnetometry (Figs. 2–3) and DFT electronic structure] The DFT calculations assume a collinear ferrimagnetic state with Mn moments +3.75 and −3.48 μB/f.u. (net 0.39 μB/f.u.), whereas the manuscript's own magnetic characterization shows a spin cluster-glass ground state with quenched magnetization, memory and relaxation effects, and frequency-dependent freezing, i.e., no long-range magnetic order. M(H) at 2 K continues to increase up to 7 T without saturation, so the high-field state probed in transport is not shown to be the calculated FiM state. Because the computed Berry curvature, nesting vectors, and intrinsic AHC (132 S/cm) are properties of the ordered collinear state, they cannot be used to interpret the measured σ_xy ≈ 50 S/cm without independent evidence that the experimental magnetic structure matches the calculation.
- [Fig. 4 and accompanying text] The crossings near E_F are described as 'strong candidates for Weyl points' and later as 'Weyl-type band crossings,' but no chiral charge, Chern number, or surface-state calculation is presented. The text also states that SOC creates small gaps of 20–50 meV at these crossings, which is incompatible with genuine Weyl points unless a specific symmetry protection is identified. The claim that Mn2PdIn hosts a 'topologically nontrivial electronic structure' is therefore not established by the provided calculations.
- [Text near the T_F estimate] The freezing temperature is estimated as 62.3 K using a mean-field formula with a DFT-derived J between FiM and AFM states. Since the experimentally characterized state is a spin cluster glass, not a collinear FiM or AFM state, the relevance of this J is unclear, and the agreement with T_F = 65.5 K cannot be taken as validation of the collinear FiM model. The formula's inputs (J_i,j,avg over 'all possible configurations,' N=8) are not specified in sufficient detail to be reproducible.
- [Fig. 5(f) and TYJ scaling] The TYJ decomposition into skew-scattering and intrinsic/side-jump contributions uses the spontaneous magnetization M, but the sample is a spin glass with quenched and nonsaturating magnetization, making the appropriate M ill-defined. The resulting coefficients (a ≈ −0.062, b ≈ 63 S/cm) therefore do not robustly support the claim that the intrinsic Berry-curvature mechanism dominates the measured AHE.
minor comments (5)
- [Table II title] The title 'Fiting parameters' should read 'Fitting parameters.'
- [Equations and text (magnetization section)] The text contains a typo: 'Slatter-Puling rule' should be 'Slater-Pauling rule.'
- [Structural description (Fig. 1 inset and text)] The phrase 'octagonally coordinated' should be 'octahedrally coordinated.'
- [Relaxation equation (Fig. 2(c) text)] The relaxation formula M(t)=M0(1+a exp[−(t/τ)^β]) appears to have the wrong sign convention for a zero-field-cooled relaxation; a standard KWW form is M(t)=M0[1−exp(−(t/τ)^β)] over a suitable baseline, and the present form should be checked.
- [AHC calculation text] The phrase 'yield numerically equivalent results 82.82' contains a duplicated reference marker; it should be 'results [82]' or similar.
Circularity Check
No significant circularity: the DFT AHC and T_F estimate are independent of the measured transport data, and the self-citations are not load-bearing.
full rationale
The paper's derivation chain is not circular. The intrinsic AHC (about 132 S/cm) is computed from the DFT band structure via the Kubo formalism and is not fitted to the measured transverse resistivity; the experimental value (about 50 S/cm) is quoted separately, and the discrepancy is attributed to polycrystallinity, defects, and finite-temperature effects, which is an independent comparison rather than a fit. The quadratic rho_A vs. rho_xx scaling and the TYJ decomposition are fits to measured transport data using established scaling models (Tian-Ye-Jin), and the fitted coefficient b is not fed back into the DFT calculation. The freezing-temperature estimate T_F = 62.3 K uses a DFT-computed exchange J = -0.04295 eV rather than a value fitted to the experimental T_F = 65.5 K, so the agreement is a genuine, if approximate, prediction. The same-group citations (Refs. 18, 19, and 88) support background and comparison only; no load-bearing uniqueness theorem or ansatz is imported from them. Any remaining concerns, such as whether the collinear ferrimagnetic DFT state represents the measured spin-cluster-glass ground state, are issues of physical validity and transport interpretation, not circular reduction.
Assumptions & free parameters
free parameters (3)
- b (TYJ intrinsic coefficient) =
≈63 S/cm
- a (TYJ skew-scattering coefficient) =
≈ -0.062
- Spontaneous magnetization M_s =
0.46 μB/f.u. at 2 K
assumptions (5)
- domain assumption The collinear ferrimagnetic configuration found in DFT is the relevant magnetic ground state for interpreting transport.
- ad hoc to paper Band crossings near the Fermi level are Weyl-type (topologically protected) without an explicit calculation of chiral charge or surface states.
- domain assumption The mean-field expression T_F = (1/(k_B N)) sqrt(Σ J²) is a valid approximation for the cluster spin-glass freezing temperature.
- domain assumption The TYJ scaling relation can separate skew scattering from intrinsic AHE in a spin-glass system.
- domain assumption PBE-GGA accurately describes the electronic structure and anomalous Hall conductivity of Mn2PdIn.
Cite this review
Pith. "Pith review of Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn." pith.science (2026). https://pith.science/paper/I3XZANEL
@misc{pith2026250502769,
author = {Pith},
title = {Pith review of: Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn},
year = {2026},
howpublished = {\url{https://pith.science/paper/I3XZANEL}},
note = {Machine review of arXiv:2505.02769}
}
read the original abstract
Noncollinear magnets with near-zero net magnetization and nontrivial bulk electronic topology hold significant promise for spintronic applications, though their scarcity necessitates purposeful design strategies. In this work, we report a topologically nontrivial electronic structure in metallic Mn_2PdIn, which crystallizes in the inverse Heusler structure and exhibits a spin-glassy ground state with quenched magnetization. The system features Weyl-type band crossings near the Fermi level and reveals a novel interplay among momentum-space nesting, orbital hybridization, and spin-orbit coupling. Comprehensive transport measurements uncover a pronounced anomalous Hall effect (AHE) in Mn_2PdIn. The observed quadratic relationship between the longitudinal and anomalous Hall resistivities highlights the intrinsic Berry curvature contribution to AHE. These findings establish inverse Heusler alloys as compelling platforms for realizing noncollinear magnets that host Weyl-type semimetallic or metallic phases-combining suppressed magnetization with robust electronic transport-thereby offering a promising route toward their seamless integration into next-generation spintronic devices.
Figures
Reference graph
Works this paper leans on
-
[1]
A. Fert, N. Reyren, and V. Cros, Magnetic skyrmions: advances in physics and potential applications, Nat. Rev. Mater. 2, 17031 (2017)
2017
-
[2]
Tokura and N
Y. Tokura and N. Kanazawa, Magnetic skyrmion materials, Chem. Rev. 121, 2857 (2021)
2021
-
[3]
A. Fert, V. Cros, and J. Sampaio, Skyrmions on the track, Nat. Nanotechnol. 8, 152 (2013)
2013
-
[4]
J. C. Gallagher, M. D. Stern, Y. Li, T. Liu, H. Zhang, W. Jin, J. L. Zhang, J.-H. Park, and R. He, Robust zero-field skyrmion formation in FeGe epitaxial thin films, Phys. Rev. Lett. 118, 027201 (2017)
2017
-
[5]
Ozawa, S
R. Ozawa, S. Hayami, and Y. Motome, Zero-field skyrmions with a high topological number in itinerant magnets, Phys. Rev. Lett. 118, 147205 (2017)
2017
-
[6]
Puphal, V
P. Puphal, V. Pomjakushin, N. Kanazawa, V. Ukleev, D. J. Gawryluk, J. Ma, M. Naamneh, N. C. Plumb, L. Keller, R. Cubitt, et al., Topological magnetic phase in the candidate Weyl semimetal CeAlGe, Phys. Rev. Lett. 124, 017202 (2020)
2020
-
[7]
X. Z. Yu, W. Koshibae, Y. Tokunaga, K. Shibata, Y. Taguchi, N. Nagaosa, and Y. Tokura, Transformation between meron and skyrmion topological spin textures in a chiral magnet, Nature 564, 95--98 (2018)
2018
-
[8]
Fujishiro, N
Y. Fujishiro, N. Kanazawa, T. Nakajima, X. Z. Yu, K. Ohishi, Y. Kawamura, K. Kakurai, T. Arima, H. Mitamura, A. Miyake, et al., Topological transitions among skyrmion-and hedgehog-lattice states in cubic chiral magnets, Nat. Commun. 10, 1059 (2019)
2019
Show all 88 references
-
[9]
J. Zou, S. Zhang, and Y. Tserkovnyak, Topological transport of deconfined hedgehogs in magnets, Phys. Rev. Lett. 125, 267201 (2020)
2020
-
[10]
S.-H. Yang, R. Naaman, Y. Paltiel, and S. S. P. Parkin, Chiral spintronics, Nat. Rev. Phys. 3, 328--343 (2021)
2021
-
[11]
P. Park, W. Cho, C. Kim, Y. An, Y.-G. Kang, M. Avdeev, R. Sibille, K. Iida, R. Kajimoto, K. H. Lee, et al., Tetrahedral triple-Q magnetic ordering and large spontaneous Hall conductivity in the metallic triangular antiferromagnet Co _ 1/3 TaS _2 , Nat. Commun. 14, 8346 (2023)
2023
-
[12]
N. J. Ghimire, A. S. Botana, J. S. Jiang, J. Zhang, Y.-S. Chen, and J. F. Mitchell, Large anomalous Hall effect in the chiral-lattice antiferromagnet CoNb _3 S _6 , Nat. Commun. 9, 3280 (2018)
2018
-
[13]
Suzuki, R
T. Suzuki, R. Chisnell, A. Devarakonda, Y.-T. Liu, W. Feng, D. Xiao, J. W. Lynn, and J. G. Checkelsky, Large anomalous Hall effect in a half-Heusler antiferromagnet, Nat. Phys. 12, 1119--1123 (2016)
2016
-
[14]
Shekhar, N
C. Shekhar, N. Kumar, V. Grinenko, S. Singh, R. Sarkar, H. Luetkens, S.-C. Wu, Y. Zhang, A. C. Komarek, E. Kampert, et al., Anomalous Hall effect in Weyl semimetal half-Heusler compounds RPtBi (R = Gd and Nd), Proc. Natl. Acad. Sci. USA 115, 9140--9144 (2018)
2018
-
[15]
Nakatsuji, N
S. Nakatsuji, N. Kiyohara, and T. Higo, Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature, Nature 527, 212--215 (2015)
2015
-
[16]
X. Li, J. Koo, Z. Zhu, K. Behnia, and B. Yan, Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn _3 Sn, Nature Commun. 14, 1642 (2023)
2023
-
[17]
S mejkal, T
L. S mejkal, T. Jungwirth, and J. Sinova, Route towards Dirac and Weyl antiferromagnetic spintronics, Phys. Status Solidi (RRL) 11, 1700044 (2017)
2017
-
[18]
Bhattacharya, M
A. Bhattacharya, M. R. Habib, A. Ahmed, B. Satpati, S. DuttaGupta, I. Dasgupta, and I. Das, Spin-valve-like magnetoresistance and anomalous Hall effect in magnetic Weyl metal Mn _2 PdSn, Phys. Rev. B 110, 014417 (2024)
2024
-
[19]
Ahmed, J
A. Ahmed, J. Sharma, A. Bhattacharya, A. Biswas, T. Singha, Y. Mudryk, A. Alam, and I. Das, Unconventional anomalous Hall effect in hexagonal polar magnet Y _3 Co _8 Sn _4 , arXiv preprint arXiv:2502.03452 (2025)
2025 arXiv
-
[20]
T. Graf, C. Felser, and S. P. Parkin, Simple rules for the understanding of Heusler compounds, Prog. Solid State Chem. 39, 1--50 (2011)
2011
-
[21]
W. Shi, L. Muechler, K. Manna, Y. Zhang, K. Koepernik, R. Car, J. Van Den Brink, C. Felser, and Y. Sun, Prediction of a magnetic Weyl semimetal without spin-orbit coupling and strong anomalous Hall effect in the Heusler compensated ferrimagnet Ti _2 MnAl, Phys. Rev. B 97, 0604...
2018
-
[22]
Winterlik, G
J. Winterlik, G. H. Fecher, B. Balke, T. Graf, V. Alijani, V. Ksenofontov, C. A. Jenkins, O. Meshcheriakova, C. Felser, G. Liu, S. Ueda, K. Kobayashi, T. Nakamura, and M. W\'ojcik, Electronic, magnetic, and structural properties of the ferrimagnet Mn _2 CoSn, Phys. Rev. B 83, ...
2011
-
[23]
Stinshoff, A
R. Stinshoff, A. K. Nayak, G. H. Fecher, B. Balke, S. Ouardi, Y. Skourski, T. Nakamura, and C. Felser, Completely compensated ferrimagnetism and sublattice spin crossing in the half-metallic Heusler compound Mn _ 1.5 FeV _ 0.5 Al, Phys. Rev. B 95, 060410 (2017)
2017
-
[24]
A. A. Zyuzin, S. Wu, and A. A. Burkov, Weyl semimetal with broken time reversal and inversion symmetries, Phys. Rev. B 85, 165110 (2012)
2012
-
[25]
Chatterjee, P
S. Chatterjee, P. Dutta, S. Giri, S. Majumdar, S. Sadhukhan, S. Kanungo, S. Chatterjee, M. M. Patidar, G. S. Okram, and V. Ganesan, Glassy magnetic state and negative temperature coefficient of resistivity in Mn ^ 3+ In, Phys. Rev. B 102, 214443 (2020)
2020
-
[26]
See Supplemental material: This material includes further auxiliary data on structural refinement, transverse resistivity, and computational details, Supplementary URL to be added by journal (2024)
2024
-
[27]
X. Xu, T. Kanomata, M. Hayasaka, R. Umino, K. Endo, H. Nishihara, Y. Adachi, R. Kainuma, and K. A. Ziebeck, Magnetic properties of Mn _2 PdSn and Mn _2 PdIn, J. Magn. Magn. Mater. 401, 618--624 (2016)
2016
-
[28]
Samanta, P
T. Samanta, P. A. Bhobe, A. Das, A. Kumar, and A. K. Nigam, Reentrant cluster glass and stability of ferromagnetism in the Ga _2 MnCo Heusler alloy, Phys. Rev. B 97, 184421 (2018)
2018
-
[29]
A. K. Nayak, M. Nicklas, S. Chadov, C. Shekhar, Y. Skourski, J. Winterlik, and C. Felser, Large Zero-Field Cooled Exchange-Bias in Bulk Mn _2 PtGa, Phys. Rev. Lett. 110, 127204 (2013)
2013
-
[30]
Agarwal, B
S. Agarwal, B. Wang, H. Yang, P. Dhanapal, Y. Shen, J. Wang, H. Wang, J. Zhao, and R.-W. Li, Spin-valve-like magnetoresistance in a Ni-Mn-In thin film, Phys. Rev. B 97, 214427 (2018)
2018
-
[31]
Skaftouros, K
S. Skaftouros, K. \. O zdo g an, E. S a s ıo g lu, and I. Galanakis, Generalized Slater-Pauling rule for the inverse Heusler compounds, Phys. Rev. B 87, 024420 (2013)
2013
-
[32]
M. E. Jamer, Y. J. Wang, G. M. Stephen, I. J. McDonald, A. J. Grutter, G. E. Sterbinsky, D. A. Arena, J. A. Borchers, B. J. Kirby, L. H. Lewis, et al., Compensated ferrimagnetism in the zero-moment Heusler alloy Mn _3 Al, Phys. Rev. Appl. 7, 064036 (2017)
2017
-
[33]
A. K. Nayak, M. Nicklas, S. Chadov, P. Khuntia, C. Shekhar, A. Kalache, M. Baenitz, Y. Skourski, V. K. Guduru, A. Puri, et al., Design of compensated ferrimagnetic Heusler alloys for giant tunable exchange bias, Nat. Mater. 14, 679--684 (2015)
2015
-
[34]
Hessinger and K
J. Hessinger and K. Knorr, Field-cooling experiments on the quadrupolar-glass state of (KBr) _ 0.47 (KCN) _ 0.53 , Phys. Rev. Lett. 65, 2674--2676 (1990)
1990
-
[35]
Kroder, K
J. Kroder, K. Manna, D. Kriegner, A. S. Sukhanov, E. Liu, H. Borrmann, A. Hoser, J. Gooth, W. Schnelle, D. S. Inosov, G. H. Fecher, and C. Felser, Spin glass behavior in the disordered half-Heusler compound IrMnGa, Phys. Rev. B 99, 174410 (2019)
2019
-
[36]
Pakhira, C
S. Pakhira, C. Mazumdar, R. Ranganathan, S. Giri, and M. Avdeev, Large magnetic cooling power involving frustrated antiferromagnetic spin-glass state in R _ 2 NiSi _ 3 (R=Gd,Er), Phys. Rev. B 94, 104414 (2016)
2016
-
[37]
J. C. Phillips, Stretched exponential relaxation in molecular and electronic glasses, Rep. Prog. Phys. 59, 1133 (1996)
1996
-
[38]
D. Chu, G. G. Kenning, and R. Orbach, Dynamic measurements in a Heisenberg spin glass: CuMn, Phys. Rev. Lett. 72, 3270--3273 (1994)
1994
-
[39]
J. A. Mydosh, Spin glasses: An experimental introduction (CRC Press, 1993)
1993
-
[40]
D. X. Li, S. Nimori, Y. Shiokawa, Y. Haga, E. Yamamoto, and Y. Onuki, ac susceptibility and magnetic relaxation of R _ 2 PdSi _ 3 (R=Nd, Tb, and Dy), Phys. Rev. B 68, 012413 (2003)
2003
-
[41]
S. Khan, E. S. Y. Aw, L. A. V. Nagle-Cocco, A. Sud, S. Ghosh, M. K. B. Subhan, Z. Xue, C. Freeman, D. Sagkovits, A. Gutiérrez-Llorente, et al., Spin-Glass States Generated in a van der Waals Magnet by Alkali-Ion Intercalation, Adv. Mater. 36, 2400270 (2024)
2024
-
[42]
J. A. Mydosh, Spin glasses: redux: an updated experimental/materials survey, Rep. Prog. Phys. 78, 052501 (2015)
2015
-
[43]
P. C. Hohenberg and B. I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49, 435--479 (1977)
1977
-
[44]
Mori and H
T. Mori and H. Mamiya, Dynamical properties of a crystalline rare-earth boron cluster spin-glass system, Phys. Rev. B 68, 214422 (2003)
2003
-
[45]
J. Lago, S. J. Blundell, A. Eguia, M. Jansen, and T. Rojo, Three-dimensional Heisenberg spin-glass behavior in SrFe _ 0.90 Co _ 0.10 O _ 3.0 , Phys. Rev. B 86, 064412 (2012)
2012
-
[46]
P. Li, J. Koo, W. Ning, J. Li, L. Miao, L. Min, Y. Zhu, Y. Wang, N. Alem, C.-X. Liu, et al., Giant room temperature anomalous Hall effect and tunable topology in a ferromagnetic topological semimetal Co _2 MnAl, Nat. Commun. 11, 3476 (2020)
2020
-
[47]
Rosch, Interplay of Disorder and Spin Fluctuations in the Resistivity near a Quantum Critical Point, Phys
A. Rosch, Interplay of Disorder and Spin Fluctuations in the Resistivity near a Quantum Critical Point, Phys. Rev. Lett. 82, 4280--4283 (1999)
1999
-
[48]
J. A. Mydosh and P. J. Ford, Low temperature electrical resistivity of the spin glass: CuMn, Phys. Lett. A 49, 189--190 (1974)
1974
-
[49]
Belopolski, K
I. Belopolski, K. Manna, D. S. Sanchez, G. Chang, B. Ernst, J. Yin, S. S. Zhang, T. Cochran, N. Shumiya, H. Zheng, et al., Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet, Science 365, 1278--1281 (2019)
2019
-
[50]
Hurd, The Hall effect in metals and alloys (Springer Science & Business Media, 2012)
C. Hurd, The Hall effect in metals and alloys (Springer Science & Business Media, 2012)
2012
-
[51]
Karplus and J
R. Karplus and J. M. Luttinger, Hall effect in ferromagnetics, Phys. Rev. 95, 1154 (1954)
1954
-
[52]
Y. Tian, L. Ye, and X. Jin, Proper Scaling of the Anomalous Hall Effect, Phys. Rev. Lett. 103, 087206 (2009)
2009
-
[53]
Nagaosa, J
N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Anomalous Hall effect, Rev. Mod. Phys. 82, 1539--1592 (2010)
2010
-
[54]
J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996)
1996
-
[55]
P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994)
1994
-
[56]
Q. Wu, S. Zhang, H.-F. Song, M. Troyer, and A. A. Soluyanov, WannierTools: An open-source software package for novel topological materials, Comput. Phys. Commun. 224, 405--416 (2018)
2018
-
[57]
Pizzi, V
G. Pizzi, V. Vitale, R. Arita, S. Blügel, F. Freimuth, G. Géranton, M. Gibertini, D. Gresch, C. Johnson, T. Koretsune, et al., Wannier90 as a community code: new features and applications, J. Phys.: Condens. Matter 32, 165902 (2020)
2020
-
[58]
M. G. Lopez, D. Vanderbilt, T. Thonhauser, and I. Souza, Wannier-based calculation of the orbital magnetization in crystals, Phys. Rev. B 85, 014435 (2012)
2012
-
[59]
M. I. Aroyo, J. M. Perez-Mato, D. Orobengoa, E. Tasci, G. De La Flor, and A. Kirov, Crystallography online: Bilbao crystallographic server, Bulg. Chem. Commun. 43, 183-197 (2011)
2011
-
[60]
X. Wang, J. R. Yates, I. Souza, and D. Vanderbilt, Ab initio calculation of the anomalous Hall conductivity by Wannier interpolation, Phys. Rev. B 74, 195118 (2006)
2006
-
[61]
H. T. Stokes, D. M. Hatch, and B. J. Campbell, FINDSYM, ISOTROPY Software Suite, iso.byu.edu
-
[62]
D. M. Hatch and H. T. Stokes, FINDSYM: program for identifying the space-group symmetry of a crystal, J. Appl. Crystallogr. 38, 237-238 (2005)
2005
-
[63]
M. Park, G. Han, and S. H. Rhim, Anomalous Hall effect in a compensated ferrimagnet: Symmetry analysis for Mn _ 3 Al , Phys. Rev. Res. 4, 013215 (2022)
2022
-
[64]
Gurung, D
G. Gurung, D. F. Shao, T. R. Paudel, and E. Y. Tsymbal, Anomalous Hall conductivity of noncollinear magnetic antiperovskites, Phys. Rev. Mater. 3, 044409 (2019)
2019
-
[65]
J. Zhou, X. Shu, Y. Liu, X. Wang, W. Lin, S. Chen, L. Liu, Q. Xie, T. Hong, P. Yang, B. Yan, X. Han, and J. Chen, Magnetic asymmetry induced anomalous spin-orbit torque in IrMn, Phys. Rev. B 101, 184403 (2020)
2020
-
[66]
X. Wang, D. Vanderbilt, J. R. Yates, and I. Souza, Fermi-surface calculation of the anomalous Hall conductivity, Phys. Rev. B 76, 195109 (2007)
2007
-
[67]
Y. Yao, L. Kleinman, A. H. MacDonald, J. Sinova, T. Jungwirth, D.-S. Wang, E. Wang, and Q. Niu, First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe, Phys. Rev. Lett. 92, 037204 (2004)
2004
-
[68]
J. Shen, Q. Yao, Q. Zeng, H. Sun, X. Xi, G. Wu, W. Wang, B. Shen, Q. Liu, and E. Liu, Local Disorder-Induced Elevation of Intrinsic Anomalous Hall Conductance in an Electron-Doped Magnetic Weyl Semimetal, Phys. Rev. Lett. 125, 086602 (2020)
2020
-
[69]
Kresse, and J
G. Kresse, and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558-561 (1993)
1993
-
[70]
Kresse, and D
G. Kresse, and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758-1775 (1999)
1999
-
[71]
Monkhorst, and J.D
H.J. Monkhorst, and J.D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188-5192 (1976)
1976
-
[72]
Perdew, K
J.P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865-3868 (1996)
1996
-
[73]
Singh, M.K
P. Singh, M.K. Harbola, M. Hemanadhan, A. Mookerjee, and D.D. Johnson, Better band gaps with asymptotically corrected local exchange potentials, Phys. Rev. B 93, 085204 (2016)
2016
-
[74]
Singh, M.K
P. Singh, M.K. Harbola, B. Sanyal, and A. Mookerjee, Accurate determination of band gaps within density functional formalism, Phys. Rev. B 87, 235110 (2013)
2013
-
[75]
Kaneyoshi, Sing glass ordering temperature beyond its mean-field, Journal of Magnetism and Magnetic Materials 15-18, 119-120 (1980)
T. Kaneyoshi, Sing glass ordering temperature beyond its mean-field, Journal of Magnetism and Magnetic Materials 15-18, 119-120 (1980)
1980
-
[76]
M. R. A. Shegelski and D. J. W. Geldart, Theory of freezing temperatures of metallic spin glasses, Solid State Commun. 79, 769 (1991)
1991
-
[77]
M. R. A. Shegelski and D. J. W. Geldart, Indirect-exchange interactions in disordered metals at finite temperature, Phys. Rev. B 46, 5318 (1992)
1992
-
[78]
M. R. A. Shegelski and D. J. W. Geldart, Theory of impurity-concentration dependence of freezing temperatures of metallic spin glasses, Phys. Rev. B 46, 2853 (1992)
1992
-
[79]
Y. Yao, L. Kleinman, A. H. MacDonald, J. Sinova, T. Jungwirth, D.-S. Wang, E. Wang, and Q. Niu, First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe, Phys. Rev. Lett. 92 , 037204 (2004)
2004
-
[80]
Fuh and G.-Y
H.-R. Fuh and G.-Y. Guo, Intrinsic anomalous Hall effect in nickel: A GGA + U study, Phys. Rev. B 84 , 144427 (2011)
2011
-
[81]
Huang et al., Anomalous Hall effect and current spin polarization in Co2FeX Heusler compounds (X = Al, Ga, In, Si, Ge, and Sn): A systematic ab initio study, Phys
H.-L. Huang et al., Anomalous Hall effect and current spin polarization in Co2FeX Heusler compounds (X = Al, Ga, In, Si, Ge, and Sn): A systematic ab initio study, Phys. Rev. B 91 , 134409 (2015)
2015
-
[82]
G. Y. Guo, Q. Niu, and N. Nagaosa, Anomalous Nernst and Hall effects in magnetized platinum and palladium, Phys. Rev B 89 , 214406 (2014)
2014
-
[83]
K\"ubler, and C
J. K\"ubler, and C. Felser, Berry curvature and the anomalous Hall effect in Heusler compounds, Phys. Rev. B 85 , 012405 (2012)
2012
-
[84]
Kudrnovsky, V
J. Kudrnovsky, V. Drchal, and I. Turek, Anomalous Hall effect in stoichiometric Heusler alloys with native disorder: A first-principles study, Phys. Rev. B 88 , 014422 (2013)
2013
-
[85]
J. C. Tung, and G. Y. Guo, High spin polarization of the anomalous Hall current in Co-based Heusler compounds, New J. Phys. 15 , 033014 (2013)
2013
-
[86]
J. Noky, Y. Zhang, J. Gooth et al. Giant anomalous Hall and Nernst effect in magnetic cubic Heusler compounds, npj Comput Mater 6 , 77 (2020)
2020
-
[87]
Chadov, X
S. Chadov, X. Qi, J. K\"ubler et al. Tunable multifunctional topological insulators in ternary Heusler compounds, Nature Mater 9 , 541-545 (2010)
2010
-
[88]
Ahmed, A
A. Ahmed, A. Bhattacharya, and I. Das, Anomalous and large topological Hall effects in -Mn chiral compound Co _ 6.5 Ru _ 1.5 Zn _8 Mn _4 : electron-electron interaction facilitated quantum interference effect, J. Phys.: Condens. Matter 37 , 115802 (2025)
2025
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