pith. sign in

arxiv: 2605.22278 · v1 · pith:PI3NRKS3new · submitted 2026-05-21 · ❄️ cond-mat.mes-hall · cond-mat.supr-con

Topological semimetals: surface transport and spin effects

E.V. Deviatov This is my paper

Pith reviewed 2026-05-22 04:16 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.supr-con
keywords topological semimetalsWeyl semimetalschiral surface statesspin transportanomalous Hall effectsuperconducting proximityBerry curvature
0
0 comments X

The pith

Weyl semimetals serve as three-dimensional analogs of the quantum Hall effect through their chiral surface states.

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

This review establishes that topological semimetals, especially Weyl ones, host topologically protected chiral surface states with linear dispersion that mirror those in Chern insulators. These states position the materials as bulk three-dimensional realizations of quantum Hall physics while also enabling spin-dependent phenomena through spin-momentum locking. The central experimental challenge addressed is isolating surface contributions to transport in systems with gapless bulk spectra, with evidence drawn from charge measurements in superconducting proximity devices, spin transport, magnetic responses, and the nonlinear anomalous Hall effect tied to Berry curvature. Revealing these effects supports potential uses in spintronics and related devices.

Core claim

Weyl semimetals acquire topologically protected surface states with linear dispersion that are chiral, similarly to Chern insulators, which allows to consider Weyl semimetals as the three-dimensional analog of the quantum Hall effect regime. They are also interesting for spin-dependent effects due to the spin-momentum locking in the topological surface states, and the main problem of transport investigations is to reveal the surface states contribution in the material with gapless bulk spectrum.

What carries the argument

Chiral surface states with linear dispersion, which carry topological protection, enable the quantum Hall analogy, and produce spin-momentum locking.

If this is right

  • Charge transport in superconducting proximity devices shows distinct signatures attributable to surface states.
  • Spin-dependent transport experiments display effects arising directly from spin-momentum locking in the surface states.
  • Magnetic response measurements isolate properties specific to the topological surface states.
  • The nonlinear anomalous Hall effect serves as a direct probe of nonzero Berry curvature in these semimetals.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Hybrid structures pairing topological semimetals with superconductors may host emergent topological superconducting states at the surface.
  • Three-dimensional topological transport effects could be engineered without requiring a bulk band gap, broadening device design options.
  • Systematic variation of sample geometry and contact placement would further separate surface and bulk contributions in future tests.

Load-bearing premise

The surface states contribution to transport can be revealed experimentally in topological semimetals despite their gapless bulk spectrum.

What would settle it

A series of transport measurements in Weyl semimetal samples where all observed charge, spin, and Hall signals are fully explained by bulk carriers with no detectable surface signature would challenge the reviewed conclusions.

Figures

Figures reproduced from arXiv: 2605.22278 by E.V. Deviatov.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic representation of the inversion of the bul [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Edge state symmetry. Chiral edge states of the in [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Formation of the bulk spectrum of a Weyl semimetal. [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Schematic diagram of Fermi arcs in the surface [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Representation of a three-dimensional Weyl [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. A method for fabricating a specified configuration of [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Top: Josephson current-voltage characteristics fo [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Asymmetry of the critical current of a Josephson [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Left: Differential resistance as a function of volt [PITH_FULL_IMAGE:figures/full_fig_p010_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. Gradient plot of the differential resistance of a sin [PITH_FULL_IMAGE:figures/full_fig_p011_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12. A normal contact to a magnetic topological [PITH_FULL_IMAGE:figures/full_fig_p012_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13. Top: magnetization hysteresis in the form of a [PITH_FULL_IMAGE:figures/full_fig_p014_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIG. 14. Nonlinear anomalous Hall effect [99] (NLHE) as a [PITH_FULL_IMAGE:figures/full_fig_p015_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: In the maximally ideal Hall geometry, an odd [PITH_FULL_IMAGE:figures/full_fig_p015_15.png] view at source ↗
Figure 15
Figure 15. Figure 15: FIG. 15. Left: Odd dependence of the second-harmonic trans [PITH_FULL_IMAGE:figures/full_fig_p016_15.png] view at source ↗
read the original abstract

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological and Chern insulators, topological semimetals acquire topologically protected surface states with linear dispersion. In contrast to helical surface states in topological insulators, the surface states are chiral for Weyl semimetals, similarly to Chern insulators, which allows to consider Weyl semimetals as the three-dimensional analog of the quantum Hall effect regime. Weyl semimetals are also interesting for spin-dependent effects, due to the spin-momentum locking in the topological surface states. For topological semimetals, the main problem of transport investigations is to reveal the surface states contribution in the material with gapless bulk spectrum. Here, we present review of experimental results on charge and spin transport in topological semimetals: charge transport in different superconducting proximity devices; spin-dependent transport; magnetic response of the topological surface states; non-linear anomalous Hall effect as the direct manifestation of the non-zero Berry curvature in topological semimetals. Possible applications are also considered for this new class of topological materials.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. This review compiles experimental literature on transport in topological semimetals, with emphasis on Weyl semimetals. It presents Weyl semimetals as the three-dimensional analog of the quantum Hall regime on the basis of their chiral, linearly dispersing surface states (analogous to Chern insulators), reviews charge transport in superconducting proximity devices, spin-dependent transport, magnetic response of surface states, and the nonlinear anomalous Hall effect as a signature of nonzero Berry curvature, while noting the central experimental difficulty of isolating surface contributions from a gapless bulk and briefly discussing possible applications.

Significance. If the summaries of the cited experiments are accurate and the discussion of surface-bulk separation is balanced, the manuscript would provide a timely reference for the mesoscopic physics community working on topological materials. It usefully collects results on proximity-induced effects, spin-momentum locking, and nonlinear Hall transport that are otherwise scattered across the literature.

major comments (1)
  1. [Abstract] Abstract: The claim that Weyl semimetals constitute the 3D analog of the quantum Hall regime rests on the experimental separability of chiral surface-state transport. The abstract itself identifies this separation as the main problem for transport studies, yet the review does not appear to contain a dedicated critical synthesis (e.g., a table or subsection) evaluating the robustness of bulk-subtraction methods, thickness scaling, or control-sample strategies across the cited proximity-device and nonlinear-Hall works. This weakens the load-bearing analogy for transport observables.
minor comments (1)
  1. [Abstract] Abstract, first sentence: 'For the solid state physics' is grammatically awkward and should be rephrased to 'In solid-state physics' or 'Within solid-state physics'.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of the review and for the constructive comment on strengthening the central analogy. We address the point below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The claim that Weyl semimetals constitute the 3D analog of the quantum Hall regime rests on the experimental separability of chiral surface-state transport. The abstract itself identifies this separation as the main problem for transport studies, yet the review does not appear to contain a dedicated critical synthesis (e.g., a table or subsection) evaluating the robustness of bulk-subtraction methods, thickness scaling, or control-sample strategies across the cited proximity-device and nonlinear-Hall works. This weakens the load-bearing analogy for transport observables.

    Authors: We agree that the experimental separability of surface transport is central to the analogy and that a more consolidated critical assessment would improve clarity. The manuscript discusses the difficulties of bulk subtraction, thickness dependence, and control strategies in the relevant sections on proximity devices, spin transport, and nonlinear Hall measurements. However, we acknowledge that these discussions are distributed rather than synthesized in one place. In the revised version we will add a dedicated subsection (with an accompanying table) that systematically compares the robustness of the various bulk-subtraction, scaling, and control-sample approaches used in the cited works, thereby providing stronger support for the 3D quantum-Hall analogy. revision: yes

Circularity Check

0 steps flagged

No significant circularity: review summarizes external literature without self-referential derivations

full rationale

This is a review paper that summarizes experimental results on charge/spin transport, proximity devices, and nonlinear Hall effects in topological semimetals from the cited literature. The central analogy (Weyl semimetals as 3D QHE analog via chiral surface states) is presented as a topological property drawn from established prior work on Chern insulators and Weyl nodes, not derived via equations or fits internal to this manuscript. The acknowledged experimental challenge of separating surface contributions from gapless bulk is framed as motivation for reviewing existing studies rather than a new claim supported by self-defined parameters or self-citations. No load-bearing steps reduce by construction to the paper's own inputs; the argument inherits whatever strengths or ambiguities exist in the external references.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

As a review paper assessed from the abstract only, no new free parameters, axioms, or invented entities are introduced; the work rests entirely on prior literature.

pith-pipeline@v0.9.0 · 5736 in / 971 out tokens · 38070 ms · 2026-05-22T04:16:34.468345+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking echoes
    ?
    echoes

    ECHOES: this paper passage has the same mathematical shape or conceptual pattern as the Recognition theorem, but is not a direct formal dependency.

    From the point of view of the symmetry of topological surface states, a topological Weyl semimetal is a generalization of a Chern insulator (the quantum Hall effect regime) to the three-dimensional case and zero external magnetic field [15].

  • IndisputableMonolith/Foundation/AlexanderDuality.lean D3_admits_circle_linking echoes
    ?
    echoes

    ECHOES: this paper passage has the same mathematical shape or conceptual pattern as the Recognition theorem, but is not a direct formal dependency.

    Representation of a three-dimensional Weyl semimetal as a stack of two-dimensional planes in momentum space... For planes corresponding to kx values between the Weyl nodes, the Berry curvature is non-zero... They are characterized by a non-zero Chern number C ≠ 0.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

120 extracted references · 120 canonical work pages

  1. [1]

    In the logic of this consideration, a Weyl semimetal is necessarily three-dimensional [2]: the Weyl nodes are separated by a finite distance in the direction perpendic- ular to the two-dimensional planes in Fig. 4. This state- ment well corresponds to experiment - it is well known that three-dimensional WTe 2 is one of the most promi- nent representatives ...

    work page

  2. [2]

    The Weyl semimetal introduced in this way is, from the point of view of its bulk properties, either magneti- cally ordered (a ferromagnet or an antiferromagnet if the Dirac point is split into two Weyl nodes due to the vi- olation of time reversal symmetry), or a ferroelectric if the symmetry with respect to the inversion center is bro- ken [2, 19]. In an...

    work page

  3. [3]

    The above-described picture with a single chiral sur- face state connecting the projections of two Weyl nodes 5 k k k C=0 C=1 C=0 x z y FIG. 4. Representation of a three-dimensional Weyl semimetal as a stack of two-dimensional planes in momen- tum space [2]. For planes corresponding to kx values between the Weyl nodes, the Berry curvature is non-zero (the...

    work page

  4. [4]

    Most topo- FIG

    The flake itself is obtained by mechanical exfoliation from a bulk single crystal, approximately 1 µ m thick and approximately 100 µ m in lateral dimensions. Most topo- FIG. 6. A method for fabricating a specified configuration of contacts to three-dimensional conducting flakes of topolog i- cal semimetals. The desired contact configuration is create d on the ...

    work page

  5. [5]

    for the topological halfmetal CoSi. This material is a realization of a chiral semimetal, where both the inver- sion symmetry (as in conventional Weyl semimetals) and mirror symmetry are broken [64–66], and is characterized by a significant splitting of Weyl nodes and, correspond- ingly, extremely long Fermi arcs [67, 68]. There have been demonstrated movi...

    work page

  6. [6]

    Introduction to solid state physics by Charles Kittel, New York : Wiley 1966

    work page 1966

  7. [7]

    Armitage, E.J

    N.P. Armitage, E.J. Mele, and A. Vishwanath, Rev. Mod. Phys. 90, 015001 (2018)

    work page 2018

  8. [8]

    Volkov, O.A

    B.A. Volkov, O.A. Pankratov, JETP Letters 42, 178 (1985)

    work page 1985

  9. [9]

    Kononov and E

    A.A. Kononov and E. V. Deviatov JETP Letters, 104, 811 (2016) 17

    work page 2016

  10. [10]

    C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 146802 (2005); L. Fu and C. L. Kane, Phys. Rev. B 74, 195312 (2006)

    work page 2005

  11. [11]

    L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. 98, 106803 (2007); L. Fu and C. L. Kane Phys. Rev. B 76, 045302 (2007)

    work page 2007

  12. [12]

    E. V. Deviatov, Physics - Uspekhi 50 (2) 197 (2007)

    work page 2007

  13. [13]

    B¨ uttiker, Phys

    M. B¨ uttiker, Phys. Rev. B 38, 9375 (1988)

    work page 1988

  14. [14]

    B. I. Halperin, Phys. Rev. B 25 2185 (1982)

    work page 1982

  15. [15]

    F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988)

    work page 2015

  16. [16]

    Konig, S

    M. Konig, S. Wiedmann, C. Brune, A. Roth, H. Buh- mann, L. W. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science 318, 766 (2007)

    work page 2007

  17. [17]

    Schmidt, S

    T.L. Schmidt, S. Rachel, F. von Oppen, and L.I. Glaz- man, Phys. Rev. Lett. 108, 156402 (2012)

    work page 2012

  18. [18]

    Gornyi, Sam T

    Nikolaos Kainaris, Igor V. Gornyi, Sam T. Carr, and Alexander D. Mirlin, Phys. Rev. B 90, 075118 (2014)

    work page 2014

  19. [19]

    Vayrynen, Moshe Goldstein, and Leonid I

    Jukka I. Vayrynen, Moshe Goldstein, and Leonid I. Glazman, Phys. Rev. Lett. 110, 216402 (2013); Jukka I. Vayrynen, Moshe Goldstein, Yuval Gefen, and Leonid I. Glazman, Phys. Rev. B 90, 115309 (2014)

    work page 2013

  20. [20]

    Pavan Hosur, Xiaoliang Qi, Comptes Rendus Physique, 14, 857 (2013), https://doi.org/10.1016/j.crhy.2013.10.010

    work page doi:10.1016/j.crhy.2013.10.010 2013

  21. [21]

    D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49 , 405 (1982)

    work page 1982

  22. [22]

    Hsieh, Y

    D. Hsieh, Y. Xia, L. Wray, D. Qian, A. Pal, J.H. Dil, J. Osterwalder, F. Meier, G. Bihlmayer, C.L. Kane, Y.S. Hor, R.J. Cava, M.Z. Hasan, Science 323, 919 (2009)

    work page 2009

  23. [23]

    Nishide, A.A

    A. Nishide, A.A. Taskin, Ya. Takeichi, Taichi Okuda, Akito Kakizaki, Toru Hirahara, Kan Nakatsuji, Fumio Komori, Yoichi Ando, and Iwao Matsuda, Phys. Rev. B 81, 041309(R) (2010)

    work page 2010

  24. [24]

    Phys.: Condens

    Hongming Weng, Xi Dai and Zhong Fang, J. Phys.: Condens. Matter, 28, 303001 (27pp) (2016)

    work page 2016

  25. [25]

    Yue-Wen Fang and Hanghui Chen, Communications Materials, 1, 1 (2020)

    work page 2020

  26. [26]

    and Iniguez, J

    Filippetti, A., Fiorentini, V., Ricci, F., Delugas, P. and Iniguez, J. Nat. Commun. 7, 11211 (2016)

    work page 2016

  27. [27]

    T. H. Kim, D. Puggioni, Y. Yuan, L. Xie, H. Zhou, N. Campbell, P. J. Ryan, Y. Choi, J.-W. Kim, J. R. Patzner, S. Ryu, J. P. Podkaminer, J. Irwin, Y. Ma, C. J. Fennie, M. S. Rzchowski, X. Q. Pan, V. Gopalan, J. M. Rondinelli and C. B. Eom, Nature 533, 68 (2016)

    work page 2016

  28. [28]

    Z. Fei, W. Zhao, T. A Palomaki, B. Sun, M. K. Miller, Z. Zhao, J. Yan, X. Xu, D. H. Cobden, Nature 560, 336 (2018)

    work page 2018

  29. [29]

    Su-Yang Xu, Ilya Belopolski, Daniel S. Sanchez, Mad- hab Neupane, Guoqing Chang, Koichiro Yaji, Zhujun Yuan, Chenglong Zhang, Kenta Kuroda, Guang Bian, Cheng Guo, Hong Lu, Tay-Rong Chang, Nasser Ali- doust, Hao Zheng, Chi-Cheng Lee, Shin-Ming Huang, Chuang-Han Hsu, Horng-Tay Jeng, Arun Bansil, Ti- tus Neupert, Fumio Komori, Takeshi Kondo, Shik Shin, Hsin ...

    work page 2016

  30. [30]

    Kononov, O

    A. Kononov, O. O. Shvetsov, A. V. Timonina, N. N. Kolesnikov, E. V. Deviatov, JETP Letters, 109, 180 (2019) DOI: 10.1134/S0021364019030020

    work page doi:10.1134/s0021364019030020 2019

  31. [31]

    Das, D.D

    P.K. Das, D.D. Sante, I. Vobornik, J. Fujii, T. Okuda, E. Bruyer, A. Gyenis, B.E. Feldman, J. Tao, R. Ciancio, G. Rossi, M.N. Ali, S. Picozzi, A. Yadzani, G. Panac- cione, and R.J. Cava, Nature Comm. 7, 10847 (2016)

    work page 2016

  32. [32]

    Feng, Y.-H

    B. Feng, Y.-H. Chan, Y. Feng, R.-Y. Liu,1 M.-Y. Chou, K. Kuroda, K. Yaji, A. Harasawa, P. Moras, A. Barinov, W. Malaeb, C. Bareille, T. Kondo, S. Shin, F. Komori, T.-C. Chiang, Y. Shi, and I. Matsuda, Phys Rev B 94, 195134 (2016)

    work page 2016

  33. [33]

    Vul B. M. , Zavaritskaya E. I., Zavaritskii V. N., JETP Letters, 27, 547 (1978)

    work page 1978

  34. [34]

    Vul B.M., Zavaritskaya E.I., JETP Letters, 35, 259 (1982),

    work page 1982

  35. [35]

    Hatch, Jianli Mi, Bo Brum- merstedt Iversen, and Philip Hofmann Phys

    Marco Bianchi, Richard C. Hatch, Jianli Mi, Bo Brum- merstedt Iversen, and Philip Hofmann Phys. Rev. Lett. 107, 086802 (2011)

    work page 2011

  36. [36]

    Yongjian Wang, Alexander Wowchik, Thomas Boemerich, A. A. Taskin, Achim Rosch, Yoichi Ando, arXiv:2506.09756 https://doi.org/10.48550/arXiv.2506.09756

    work page doi:10.48550/arxiv.2506.09756

  37. [37]

    N. N. Orlova, N. S. Ryshkov, A. A. Zagitova, V. I. Kulakov, A. V. Timonina, D. N. Borisenko, N. N. Kolesnikov, and E. V. Deviatov, Phys. Rev. B 101, 235316 (2020)

    work page 2020

  38. [38]

    N. N. Orlova, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, Chinese Physics Letters 40, 077302 (2023) https://doi.org/10.1088/0256-307X/40/7/077302

    work page doi:10.1088/0256-307x/40/7/077302 2023

  39. [39]

    Molenkamp and Amir Yacoby, Nature Physics, 10, 638 (2014)

    Sean Hart, Hechen Ren, Timo Wagner, Philipp Leub- ner, Mathias Muhlbauer, Christoph Brune, Hartmut Buhmann, Laurens W. Molenkamp and Amir Yacoby, Nature Physics, 10, 638 (2014)

    work page 2014

  40. [40]

    Pribiag, Arjan J

    Vlad S. Pribiag, Arjan J. A. Beukman, Fanming Qu, Maja C. Cassidy, Christophe Charpentier, Werner Wegscheider and Leo P. Kouwenhoven, Nature Nan- otechnology, 10, 593 (2015)

    work page 2015

  41. [41]

    Shvetsov, A

    O.O. Shvetsov, A. Kononov, A.V. Timonina, N.N. Kolesnikov, E.V. Deviatov JETP Letters, 107, 774 (2018)

    work page 2018

  42. [42]

    Shvetsov, A

    O.O. Shvetsov, A. Kononov, A.V. Timonina, N.N. Kolesnikov, E.V. Deviatov EPL, 124, 47003 (2018)

    work page 2018

  43. [43]

    Kazmin, V.D

    D.Yu. Kazmin, V.D. Esin, A.V. Timonina, N.N. Kolesnikov, and E.V. Deviatov Zh. Exp. Teor. Fiz., 166, 5(11), 688 (2024)

    work page 2024

  44. [44]

    Brinkman, Da-Peng Yu, and Zhi-Min, Liao Phys

    Cai-Zhen Li, An-Qi Wang, Chuan Li, Wen-Zhuang Zheng, A. Brinkman, Da-Peng Yu, and Zhi-Min, Liao Phys. Rev. Lett. 124, 156601 (2020)

    work page 2020

  45. [45]

    Tinkham, Introduction to Superconductivity, 2d ed

    M. Tinkham, Introduction to Superconductivity, 2d ed. , McGraw-Hill, N.Y., 1996)

    work page 1996

  46. [46]

    Banszerus, C

    L. Banszerus, C. W. Andersson, W. Marshall, T. Lin- demann, M. J. Manfra, C. M. Marcus, S. Vaitiekenas, Phys. Rev. X 15, 011021 (2025)

    work page 2025

  47. [47]

    W. Yu, W. Pan, D. L. Medlin, M. A. Rodriguez, S.R. Lee, Z. Bao, and F. Zhang, Phys. Rev. Lett. 120, 177704 (2018)

    work page 2018

  48. [48]

    Esin, Oleg O

    Varnava D. Esin, Oleg O. Shvetsov, Anna V. Ti- monina, Nikolai N. Kolesnikov and Eduard V. Deviatov, Nanomaterials 12(23), 4114 (2022)/ https://doi.org/10.3390/nano12234114

    work page doi:10.3390/nano12234114 2022

  49. [49]

    Morali, R

    N. Morali, R. Batabyal, P. K. Nag, E. Liu, Q. Xu, Y. Sun, B. Yan, C. Felser, N. Avraham, and H. Beidenkopf, Science 365, 1286 (2019)

    work page 2019

  50. [50]

    and Lei H., Nat

    Wang Q., Xu Y., Lou R., Liu Z., Li M., Huang Y., Shen D., Weng H., Wang S. and Lei H., Nat. Commun., 9, 3681 (2018)

    work page 2018

  51. [51]

    O. O. Shvetsov, V. D. Esin, Yu. S. Barash, A. V. Timo- nina, N. N. Kolesnikov, and E. V. Deviatov Phys. Rev. B 101, 035304 (2020)

    work page 2020

  52. [52]

    A. F. Andreev, Soviet Physics JETP 19, 1228 (1964). 18

    work page 1964

  53. [53]

    Blonder, M

    G.E. Blonder, M. Tinkham, T.M. Klapwijk, Phys. Rev. B. 25, 4515 (1982)

    work page 1982

  54. [54]

    E. Liu, Y. Sun, N. Kumar, L. Muechler, A. Sun, L. Jiao, S.-Y. Yang, D. Liu, A. Liang, Q. Xu et al., Nat. Phys. 14, 1125 (2018)

    work page 2018

  55. [55]

    Q. Wang, Y. Xu, R. Lou, Z. Liu, M. Li, Y. Huang, D. Shen, H. Weng, S. Wang, and H. Lei, Nat. Commun. 9, 3681 (2018)

    work page 2018

  56. [56]

    Avakyants, N.N

    A.A. Avakyants, N.N. Orlova, A.V. Timonina, N.N. Kolesnikov, E.V. Deviatov, Journal of Magnetism and Magnetic Materials, 573, 170668 (2023),

    work page 2023

  57. [57]

    O. O. Shvetsov, Yu. S. Barash, A. V. Timonina, N. N. Kolesnikov, E. V. Deviatov, JETP Letters, 115, 267 (2022)

    work page 2022

  58. [58]

    O. M. Kapran, A. Iovan, T. Golod, V. M. Krasnov, Phys. Rev. Research 2, 013167 (2020)

    work page 2020

  59. [59]

    Kononov, O.O

    A. Kononov, O.O. Shvetsov, S.V. Egorov, A.V. Tim- onina, N.N. Kolesnikov and E.V. Deviatov, EPL, 122, 27004 (2018) doi: 10.1209/0295-5075/122/27004

    work page doi:10.1209/0295-5075/122/27004 2018

  60. [60]

    Adroguer, C

    P. Adroguer, C. Grenier, D. Carpentier, J. Cayssol, P. Degiovanni and E. Orignac, Phys. Rev. B 82081303 (2010)

    work page 2010

  61. [61]

    N. B. Kopnin and A. S. Melnikov, Phys. Rev. B 84 064524 (2011)

    work page 2011

  62. [62]

    Ryo Okugawa and Shuichi Murakami, Phys. Rev. B 89, 235315 (2014)

    work page 2014

  63. [63]

    Bovenzi, M

    N. Bovenzi, M. Breitkreiz, P. Baireuther, T. E. O’Brien, J. Tworzydlo, I. Adagideli, and C. W. J. Beenakker, Phys. Rev. B 96, 035437 (2017) DOI: https://doi.org/10.1103/PhysRevB.96.035437

    work page doi:10.1103/physrevb.96.035437 2017

  64. [64]

    Faraei and S

    Z. Faraei and S. A. Jafari, Phys. Rev. B 100, 035447 (2019) DOI: https://doi.org/10.1103/PhysRevB.100.035447

    work page doi:10.1103/physrevb.100.035447 2019

  65. [65]

    O. O. Shvetsov, Yu. S. Barash, S. V. Egorov, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, EPL, 132, 67002 (2020) doi: 10.1209/0295-5075/132/67002

    work page doi:10.1209/0295-5075/132/67002 2020

  66. [66]

    Sau, Tudor D

    Chun-Xiao Liu, Jay D. Sau, Tudor D. Stanescu, and S. Das Sarma, Phys. Rev. B 96, 075161 (2017) DOI: https://doi.org/10.1103/PhysRevB.96.075161

    work page doi:10.1103/physrevb.96.075161 2017

  67. [67]

    Woods, Jun Chen, Sergey M

    Benjamin D. Woods, Jun Chen, Sergey M. Frolov, and Tudor D. Stanescu, Phys. Rev. B 100, 125407 (2019)

    work page 2019

  68. [68]

    V. D. Esin, Yu. S. Barash, A. V. Timonina, N. N. Kolesnikov, E. V. Deviatov, JETP Letters, 113, 662 (2021), https://doi.org/10.1134/S0021364021100015

    work page doi:10.1134/s0021364021100015 2021

  69. [69]

    Bradlyn, J

    B. Bradlyn, J. Cano, Z. Wang, M. G. Vergniory, C. Felser, R. J. Cava, and B. A. Bernevig, Science 353, aaf5037 (2016)

    work page 2016

  70. [70]

    Peizhe Tang, Quan Zhou, and Shou-Cheng Zhang, Phys. Rev. Lett. 119, 206402 (2017)

    work page 2017

  71. [71]

    Wieder, Daniel S

    Guoqing Chang, Su-Yang Xu, Benjamin J. Wieder, Daniel S. Sanchez, Shin-Ming Huang, Ilya Belopolski, Tay-Rong Chang, Songtian Zhang, Arun Bansil, Hsin Lin, and M. Zahid Hasan, Phys. Rev. Lett. 119, 206401 (2017)

    work page 2017

  72. [72]

    N. B. Schr¨ oter, D. Pei, M. G. Vergniory, Y. Sun, K. Manna, F. de Juan, J. A. Krieger, V. S¨ uss, M. Schmidt, P. Dudin, B. Bradlyn, T. K. Kim, Th. Schmitt, C. Cacho, C. Felser, V. N. Strocov and Y. Chen, Nature Physics 15, 759 (2019)

    work page 2019

  73. [73]

    Sanchez, Ilya Belopolski, Tyler A

    Daniel S. Sanchez, Ilya Belopolski, Tyler A. Cochran, Xitong Xu, Jia-Xin Yin, Guoqing Chang, Weiwei Xie, Kaustuv Manna, Vicky Suss, Cheng-Yi Huang, Nasser Alidoust, Daniel Multer, Songtian S. Zhang, Nana Shumiya, Xirui Wang, Guang-Qiang Wang, Tay-Rong Chang, Claudia Felser, Su-Yang Xu, Shuang Jia, Hsin Lin, and M. Zahid Hasan, Nature 567, 500 (2019)

    work page 2019

  74. [74]

    Guedes, Marco Caputo, Milan Radovi´ c, Valentine V

    Juraj Krempask´ y, Laurent Nicola ¨ ı, Martin Gmitra, Houke Chen, Mauro Fanciulli, Eduardo B. Guedes, Marco Caputo, Milan Radovi´ c, Valentine V. Volobuev, Ondrej Caha, Gunther Springholz, Jan Min´ ar, and J. Hugo Dil, Phys. Rev. Lett. 126, 206403 (2021)

    work page 2021

  75. [75]

    Lau and C

    A. Lau and C. Ortix, Phys. Rev. Lett. 122, 186801 (2019)

    work page 2019

  76. [76]

    Mater., 25, 509–513 (2013)

    Domenico Di Sante , Paolo Barone , Riccardo Bertacco , and Silvia Picozzi, Adv. Mater., 25, 509–513 (2013)

    work page 2013

  77. [77]

    Kremer, T

    G. Kremer, T. Jaouen, B. Salzmann, L. Nicola ¨ ı, M. Rumo, C. W. Nicholson, B. Hildebrand, J. H. Dil, J. Min´ ar, G. Springholz, J. Krempask´ y, and C. Monney, Phys. Rev. Research 2, 033115 (2020)

    work page 2020

  78. [78]

    Rinaldi, S

    Ch. Rinaldi, S. Varotto, M. Asa, J. S/suppress lawinska, J. Fu- jii, G. Vinai, S. Cecchi, D. Di Sante, R. Calarco, I. Vobornik, G. Panaccione, S. Picozzi and R. Bertacco, Nano Lett., 18, 2751–2758 (2018)

    work page 2018

  79. [79]

    A. A. Avakyants, N. N. Orlova, A. V. Timonina, N. N. Kolesnikov and E. V. Deviatov, JETP Lett. 119, 625 (2024). https://doi.org/10.1134/S0021364024600605

    work page doi:10.1134/s0021364024600605 2024

  80. [80]

    V. D. Esin, D. Yu. Kazmin, Yu. S. Barash, A. V. Timonina, N. N. Kolesnikov, E. V. Deviatov, JETP Letters, 118, 847 (2023). https://doi.org/10.1134/S0021364023603329

    work page doi:10.1134/s0021364023603329 2023

Showing first 80 references.