Pith. sign in

REVIEW 3 major objections 5 minor 39 references

Chiral Phonons Coupled to Spin-Split Bands in Altermagnetic CrSb and MnTe

T0 review · 3 major / 5 minor · reviewed 2026-07-11 · grok-4.5

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

Pith's one-line read Altermagnets CrSb and MnTe host locally chiral phonons that couple to their spin-split bands and reshape the electronic structure.

desk verdict Solid DFT mapping of local chiral phonons with f-wave texture in CrSb/MnTe and their sublattice separation from altermagnetism; the coupling claim is real but not yet isolated to the chiral part of the mode. read the letter →

arxiv 2607.04802 v1 pith:LIKSXRDC submitted 2026-07-06 cond-mat.mtrl-sci

Armando Consiglio , Maximilian Ünzelmann , Giancarlo Panaccione , Domenico Di Sante This is my paper · ORCID
classification cond-mat.mtrl-sci
keywords altermagnetismchiralphononsphononangularmomentumelectron-phononcouplingCrSbMnTevalleyspinsplitting
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

Altermagnets combine zero net magnetization with momentum-dependent electronic spin splitting. This paper uses first-principles calculations to show that the prototypical compounds CrSb and MnTe also host locally chiral phonon modes: lattice vibrations that carry finite angular momentum with a six-lobe f-wave pattern in momentum space. The circular motion lives on the non-magnetic Sb or Te sublattice, while the spin splitting is generated by the magnetic Cr or Mn atoms, so the two phenomena arise from different parts of the same crystal. In the pristine crystals inversion symmetry cancels the net phonon angular momentum at each valley; isoelectronic substitution (As for Sb, Se for Te) lifts that cancellation and produces finite valley phonon chirality without destroying the altermagnetic order. Frozen-phonon distortions that follow these chiral eigenvectors open gaps of order 0.1 eV in the spin-split bands at amplitudes comparable to zero-point motion, indicating a direct electron–phonon channel that could be seen in photoemission. The work therefore presents altermagnets as materials in which spin, valley and lattice chirality can be addressed together.

What carries the argument

Local phonon circular polarization (pseudospin) sz_α extracted from the phonon eigenvectors at the K/K′ valleys, whose momentum-space map yields the six-lobe f-wave texture and whose frozen-phonon supercell distortion is used to recompute the unfolded electronic bands.

What would settle it

An angle-resolved photoemission measurement on CrSb or MnTe (or a lightly substituted analogue) that either detects or rules out the predicted ~0.1 eV phonon-induced gaps and band-repulsion features at the spin-split crossings under resonant excitation of the chiral mode.

Watch

Extended reading notes

Core claim

Prototypical altermagnets CrSb and MnTe support locally chiral phonon modes that carry finite phonon angular momentum with a six-lobe f-wave texture. These modes originate on the pnictogen/chalcogen sublattice and couple, via momentum-dependent electron–phonon interaction, to the spin-split electronic bands generated by the magnetic transition-metal atoms, producing characteristic modifications of the electronic structure that remain potentially detectable by photoemission.

Load-bearing premise

That the electronic-structure changes seen after displacing atoms along a mixed phonon eigenvector can be attributed specifically to the chiral component of that mode, rather than to the accompanying linear displacements of the magnetic atoms.

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

3 major / 5 minor

Summary. The manuscript uses DFT and finite-difference phonons to argue that the altermagnets CrSb and MnTe host locally chiral optical modes at the K/K' valleys, with phonon circular polarization (Eqs. 1–6) localized on the Sb/Te sublattice and an f-wave texture in the kz=0 plane. Inversion symmetry cancels the net valley phonon angular momentum in the pristine cells; isoelectronic substitution (Cr2AsSb, Mn2TeSe) is shown to lift that cancellation while preserving momentum-dependent spin splitting. The central claim is that these chiral modes couple to the altermagnetic spin-split bands, producing ~0.1 eV gaps and band repulsions under frozen-phonon supercell distortions (Fig. 4) that should be accessible to photoemission and related spectroscopies.

Significance. The coexistence of valley-chiral lattice dynamics and g-wave altermagnetic spin splitting on distinct sublattices is a timely and largely unexplored combination. If the local f-wave phonon textures, the substitution-induced valley contrast, and a genuine chiral channel in the electron–phonon coupling are robust, the work would open a concrete materials platform for chiral phononics without net magnetization and would motivate targeted ARPES/Raman experiments on CrSb and MnTe. Strengths include standard, reproducible DFT practice, an established Sz operator for phonon circular polarization, and explicit acknowledgment that pristine net valley chirality vanishes by symmetry. The substitution route and the surface-symmetry-breaking suggestion are useful, falsifiable control ideas.

major comments (3)
  1. [Fig. 4 and following paragraph] Fig. 4 and the paragraph immediately following it: the central claim that “chiral phonons couple to momentum-dependent spin-split electronic bands” rests on a single frozen-phonon supercell distortion taken from the full K-valley eigenvector. The text itself states that the distortion mixes circular Sb motion with linear Cr displacements and that “the electronic response therefore arises from a collective structural modification rather than purely from the chiral component alone.” No control is reported that freezes only the circular (chiral) part of the eigenvector while holding the linear Cr component at zero (or the reverse). Without that separation, the reported ~0.1 eV gaps cannot be attributed specifically to phonon chirality and are consistent with any finite lattice distortion of comparable amplitude. A control calculation, or a clear downgrade of the claim to “phonon-mode-induce
  2. [Abstract; Chiral phonon-electron coupling section] Abstract and “Chiral phonon-electron coupling” section: the language “momentum-dependent electron–phonon interaction” and “possibly accessible by photoemission” is stronger than the calculation performed. Only static frozen-phonon band unfolding is shown; no electron–phonon matrix elements, spectral functions, or linewidth renormalizations are computed. Either compute at least a representative set of |g| or self-energy signatures that isolate the chiral mode, or rephrase to make clear that the evidence is limited to static band modifications under a mixed eigenvector displacement.
  3. [Eqs. (7)–(8); Fig. 4(b)] Eqs. (7)–(8) and Fig. 4(b): the zero-point length l_eff_0 ≈ 0.04 Å is used to argue physical relevance of the gaps, but the displacement amplitude remains a free parameter of the frozen-phonon protocol. The linear gap-vs-amplitude fit is expected for any first-order lattice modulation and does not by itself establish a chiral selection rule. Clarifying how the amplitude is chosen relative to the actual mode eigenvector normalization, and whether anharmonic or multi-mode effects would alter the gaps, would strengthen the experimental claim.
minor comments (5)
  1. [Fig. 1] Fig. 1 caption and main text: the path in the inset of Fig. 1 is described only as a “dashed line”; labeling high-symmetry points on the path would help readers connect the spin-split bands to the later K/K' phonon discussion.
  2. [Fig. 3(c,d)] Fig. 3(c,d): the f-wave texture is visually clear, but a short quantitative multipole decomposition (or a statement of the angular Fourier component) would make the “six-lobes f-wave” assignment less qualitative.
  3. [Introduction / Local phonon circular polarization] The main text repeatedly refers to Supplemental Material for MnTe and for substituted compounds; a brief one-sentence summary of the MnTe phonon circular polarization in the main text would improve self-contained readability.
  4. [Introduction] Typographical consistency: “anf-wave” appears without a space in the Introduction (“and anf-wave momentum-space texture”); fix to “an f-wave.”
  5. [Doping-induced global chirality section; Fig. 5] Reference [39] is used to support preservation of altermagnetism under substitution; a short statement of the magnetic moments or spin-splitting magnitude retained in the authors’ own Cr2AsSb/Mn2TeSe calculations would make that claim independent of the external reference.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: phonon angular momentum, f-wave texture, substitution-induced valley chirality, and frozen-phonon band modifications are independent first-principles outputs, not forced by definition or self-citation.

full rationale

The derivation chain is self-contained against external benchmarks. Phonon dispersions and eigenvectors are obtained from DFT finite-difference force constants (standard VASP lineage, external). Local circular polarization sz_α is the expectation value of a fixed operator (Eqs. 1–6) taken from the external Zhang–Niu definition; the six-lobe f-wave texture and the vanishing net valley sz in the pristine cells are direct numerical results of that operator applied to the computed eigenvectors, not fitted parameters. Isoelectronic substitution (Cr2AsSb, Mn2TeSe) is an independent structural perturbation whose preservation of altermagnetic spin splitting and emergence of finite Δsz are likewise computed, not assumed. The electron–phonon coupling claim rests on a frozen-phonon supercell distortion followed by band unfolding; the resulting gaps (~0.1 eV) are a numerical output of the distorted Hamiltonian, not a quantity already present in the input. No parameter is fitted to a data subset and then re-predicted; no uniqueness theorem or ansatz is imported from the authors’ prior work; self-citations are absent from the load-bearing steps. The acknowledged limitation that the frozen-phonon eigenvector mixes chiral and linear components is a correctness/overclaim issue, not a circular reduction of the result to its inputs. Hence score 0 with empty steps.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The central claims rest on standard DFT electronic-structure and phonon methodology, the Zhang–Niu circular-polarization operator, the established altermagnetic ground states of CrSb and MnTe, and the frozen-phonon approximation as a proxy for electron–phonon coupling. No new particles or forces are postulated. Free parameters are ordinary computational choices (displacement scale relative to zero-point length) rather than fits to experimental spectra. The load-bearing domain assumptions are that DFT captures the relevant spin-split bands and phonon eigenvectors, that isoelectronic As/Se substitution preserves altermagnetism while breaking inversion, and that frozen-phonon gaps at ~½ l_eff_0 are experimentally meaningful.

free parameters (1)
  • Phonon displacement amplitude relative to zero-point length l_eff_0 = l_eff_0 ≈ 0.04 Å; gaps shown near l_Cr, l_Sb ≈ l_eff_0/2
    Gaps in Fig. 4(b) are reported vs. hand-chosen displacement amplitudes scaled to l_eff_0 ≈ 0.04 Å; the physical claim of ~0.1 eV gaps at l ≈ l_eff_0/2 depends on this scale choice, though it is motivated by harmonic zero-point motion rather than fit to data.
assumptions (5)
  • domain assumption DFT (plane-wave, finite differences) accurately yields phonon eigenvectors and altermagnetic spin-split bands of CrSb and MnTe.
    Invoked throughout for electronic structure (Fig. 1), phonons (Fig. 2), and frozen-phonon bands (Fig. 4); no experimental phonon validation in main text.
  • domain assumption Phonon circular polarization sz_α = ℏ(|ε_Rα|² − |ε_Lα|²) measures local phonon angular momentum (Zhang–Niu operator).
    Eqs. 1–6; standard in chiral-phonon literature, used to define local and total sz and valley contrast Δsz.
  • domain assumption Isoelectronic substitution (Cr2AsSb, Mn2TeSe) preserves altermagnetic order while breaking inversion.
    Stated with citation to Devaraj et al. (2026); Fig. 5 shows retained spin splitting. Load-bearing for the finite valley chirality claim.
  • ad hoc to paper Frozen-phonon supercell distortion according to the K-valley chiral eigenvector is a valid proxy for momentum-dependent electron–phonon coupling effects on the bands.
    Used for Fig. 4; authors note mixed circular/linear character, so the proxy does not isolate the chiral channel.
  • standard math Inversion symmetry enforces exact cancellation of net phonon angular momentum within each valley in the pristine compounds.
    Symmetry argument used to explain sz = 0 at K/K' despite finite local sz_α on Sb/Te; standard group-theory consequence.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Chiral Phonons Coupled to Spin-Split Bands in Altermagnetic CrSb and MnTe." pith.science (2026). https://pith.science/paper/LIKSXRDC

@misc{pith2026260704802,
  author       = {Pith},
  title        = {Pith review of: Chiral Phonons Coupled to Spin-Split Bands in Altermagnetic CrSb and MnTe},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/LIKSXRDC}},
  note         = {Machine review of arXiv:2607.04802}
}
abstract

Altermagnets exhibit momentum-dependent spin splitting without net magnetization, providing a unique platform where magnetic order, electronic structure and lattice dynamics intertwine. Here, using first-principles calculations, we demonstrate that the prototypical altermagnets CrSb and MnTe host locally chiral phonon modes carrying finite phonon angular momentum with a six-lobes $f$-wave texture in momentum space. Our results show that the chiral lattice motion originates from the pnictogen/chalcogen sublattice, while the altermagnetic spin splitting is generated by the magnetic transition-metal atoms, indicating that chiral lattice dynamics and altermagnetic electronic states originate from different atomic sublattices of the same crystal. In pristine compounds, at each valley, inversion symmetry suppresses the net phonon angular momentum despite local circular atomic motion. We further demonstrate that isoelectronic symmetry lowering induced by chemical substitution lifts this cancellation and generates finite valley phonon chirality, while keeping the altermagnetic nature of the compounds intact. Most importantly, we reveal that chiral phonons couple to momentum-dependent spin-split electronic bands through momentum-dependent electron-phonon interaction, producing characteristic modifications of the electronic structure, possibly accessible by photoemission experiments. Our results establish altermagnets as a promising platform for chiral phononics and spin-selective lattice control.

Figures

Figures reproduced from arXiv: 2607.04802 by the authors.

Figure 1
Figure 1. FIG. 1. Electronic structure of altermagnetic CrSb in the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) Phonon band structure of CrSb. The highlighted [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 5
Figure 5. FIG. 5. (a) Spin-resolved electronic band structure of As [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

39 extracted references · 1 canonical work pages

  1. [1]

    Chirality in the solid state: Chiral crystal structures in chiral and achiral space groups,

    Gerhard H. Fecher, J¨ urgen K¨ ubler, and Claudia Felser, “Chirality in the solid state: Chiral crystal structures in chiral and achiral space groups,” Materials15(2022), 10.3390/ma15175812

    doi:10.3390/ma15175812 2022

  2. [2]

    Quantification of electronic asymmetry: Chirality and axiality in solids,

    Tatsuya Miki, Hiroaki Ikeda, Michi-To Suzuki, and Shin- taro Hoshino, “Quantification of electronic asymmetry: Chirality and axiality in solids,” Phys. Rev. Lett.134, 226401 (2025)

    2025

  3. [3]

    Chiral induced spin selectivity,

    Brian P. Bloom, Yossi Paltiel, Ron Naaman, and David H. Waldeck, “Chiral induced spin selectivity,” Chemical Reviews124, 1950–1991 (2024)

    1950

  4. [4]

    Orbital topology of chiral crystals for orbitronics,

    Kenta Hagiwara, Ying-Jiun Chen, Dongwook Go, Xin Liang Tan, Sergii Grytsiuk, Kui-Hon Ou Yang, Guo- Jiun Shu, Jing Chien, Yi-Hsin Shen, Xiang-Lin Huang, Iulia Cojocariu, Vitaliy Feyer, Minn-Tsong Lin, Stefan Bl¨ ugel, Claus Michael Schneider, Yuriy Mokrousov, and Christian Tusche, “Orbital topology of chiral crystals for orbitronics,” Advanced Materials37,...

    2025

  5. [5]

    Weyl and dirac semimetals in three-dimensional solids,

    N. P. Armitage, E. J. Mele, and Ashvin Vishwanath, “Weyl and dirac semimetals in three-dimensional solids,” Rev. Mod. Phys.90, 015001 (2018)

    2018

  6. [6]

    Chirality flips of skyrmion bubbles,

    Yuan Yao, Bei Ding, Jinjing Liang, Hang Li, Xi Shen, Richeng Yu, and Wenhong Wang, “Chirality flips of skyrmion bubbles,” Nature Communications13, 5991 (2022)

    2022

  7. [7]

    Emergent self-propulsion of skyrmionic matter in synthetic antiferromagnets,

    Cl´ ecio C. de Souza Silva, Matheus V. Correia, and J. C. Pi˜ na Vel´ asquez, “Emergent self-propulsion of skyrmionic matter in synthetic antiferromagnets,” Phys. Rev. Lett. 135, 086701 (2025)

    2025

  8. [8]

    Chirality of valley excitons in monolayer transition-metal dichalcogenides,

    Fabio Caruso, Maximilian Schebek, Yiming Pan, Cecilia Vona, and Claudia Draxl, “Chirality of valley excitons in monolayer transition-metal dichalcogenides,” The Jour- nal of Physical Chemistry Letters13, 5894–5899 (2022)

    2022

Show all 39 references
  1. [9]

    Chiral phonons at high- symmetry points in monolayer hexagonal lattices,

    Lifa Zhang and Qian Niu, “Chiral phonons at high- symmetry points in monolayer hexagonal lattices,” Phys. Rev. Lett.115, 115502 (2015)

    2015

  2. [10]

    Observation of chiral phonons,

    Hanyu Zhu, Jun Yi, Ming-Yang Li, Jun Xiao, Lifa Zhang, Chih-Wen Yang, Robert A. Kaindl, Lain-Jong Li, Yuan Wang, and Xiang Zhang, “Observation of chiral phonons,” Science359, 579–582 (2018), https://www.science.org/doi/pdf/10.1126/science.aar2711

    2018 doi

  3. [11]

    Theory of the phonon hall effect in paramagnetic dielectrics,

    L. Sheng, D. N. Sheng, and C. S. Ting, “Theory of the phonon hall effect in paramagnetic dielectrics,” Phys. Rev. Lett.96, 155901 (2006)

    2006

  4. [12]

    Phe- nomenological evidence for the phonon hall effect,

    C. Strohm, G. L. J. A. Rikken, and P. Wyder, “Phe- nomenological evidence for the phonon hall effect,” Phys. Rev. Lett.95, 155901 (2005)

    2005

  5. [13]

    Valley-selective circular dichroism of monolayer molybdenum disulphide,

    Ting Cao, Gang Wang, Wenpeng Han, Huiqi Ye, Chuan- rui Zhu, Junren Shi, Qian Niu, Pingheng Tan, Enge Wang, Baoli Liu, and Ji Feng, “Valley-selective circular dichroism of monolayer molybdenum disulphide,” Nature Communications3, 887 (2012)

    2012

  6. [14]

    Chiral phonons in the pseu- dogap phase of cuprates,

    G. Grissonnanche, S. Th´ eriault, A. Gourgout, M.-E. Boulanger, E. Lefran¸ cois, A. Ataei, F. Lalibert´ e, M. Dion, J.-S. Zhou, S. Pyon, T. Takayama, H. Takagi, N. Doiron- Leyraud, and L. Taillefer, “Chiral phonons in the pseu- dogap phase of cuprates,” Nature Physics16, 1108–...

    2020

  7. [15]

    Ultrafast valley-selective coherent opti- cal manipulation with excitons in wse2 and mos2 mono- layers,

    Artur O. Slobodeniuk, Petr Koutensk´ y, Miroslav Bartoˇ s, Frantiˇ sek Troj´ anek, Petr Mal´ y, Tom´ aˇ s Novotn´ y, and Martin Koz´ ak, “Ultrafast valley-selective coherent opti- cal manipulation with excitons in wse2 and mos2 mono- layers,” npj 2D Materials and Applications7...

    2023

  8. [16]

    Chiral phonons entangled with multiple hall effects and unified conven- tion for pseudoangular momentum in two-dimensional materials,

    Tiantian Zhang and Shuichi Murakami, “Chiral phonons entangled with multiple hall effects and unified conven- tion for pseudoangular momentum in two-dimensional materials,” Phys. Rev. B105, 235204 (2022)

    2022

  9. [17]

    Strain-induced activa- tion of chiral-phonon emission in monolayer ws2,

    Yiming Pan and Fabio Caruso, “Strain-induced activa- tion of chiral-phonon emission in monolayer ws2,” npj 2D Materials and Applications8, 42 (2024)

    2024

  10. [18]

    Phonon chirality manipulation mecha- 6 nism in transition-metal dichalcogenide interlayer-sliding ferroelectrics,

    Hao Chen, Qianqian Wang, Xukun Feng, Weikang Wu, and Lifa Zhang, “Phonon chirality manipulation mecha- 6 nism in transition-metal dichalcogenide interlayer-sliding ferroelectrics,” Nano Letters23, 11266–11271 (2023)

    2023

  11. [19]

    Chiral phonons in kagome lattices,

    Hao Chen, Weikang Wu, Shengyuan A. Yang, Xiao Li, and Lifa Zhang, “Chiral phonons in kagome lattices,” Phys. Rev. B100, 094303 (2019)

    2019

  12. [20]

    Emergence of chiral phonons in two-dimensional kagome lattices harboring electronic chirality,

    Yanru Chen, Wei Qin, Shunhong Zhang, Ping Cui, Qian Niu, and Zhenyu Zhang, “Emergence of chiral phonons in two-dimensional kagome lattices harboring electronic chirality,” Phys. Rev. Lett.135, 126608 (2025)

    2025

  13. [21]

    Chiral phonons and the magneto- optical raman effect in kagome lattice semiconductor nb3cl8,

    Wei Tang, Tingting Wang, Junjian Mi, Jun Zhou, Lifa Zhang, and Linjun Li, “Chiral phonons and the magneto- optical raman effect in kagome lattice semiconductor nb3cl8,” Opt. Mater. Express15, 2119–2131 (2025)

    2025

  14. [22]

    Coexistent topological and chiral phonons in chiral rhge: An ab ini- tio study,

    P. V. Sreenivasa Reddy and Guang-Yu Guo, “Coexistent topological and chiral phonons in chiral rhge: An ab ini- tio study,” Phys. Rev. B112, 155126 (2025)

    2025

  15. [23]

    Weyl phonons: the connection of topology and chirality,

    Tiantian Zhang, Shuichi Murakami, and Hu Miao, “Weyl phonons: the connection of topology and chirality,” Na- ture Communications16, 3560 (2025)

    2025

  16. [24]

    Mag- netic order induced chiral phonons in a ferromagnetic weyl semimetal,

    Mengqian Che, Jinxuan Liang, Yunpeng Cui, Hao Li, Bingru Lu, Wenbo Sang, Xiang Li, Xuebin Dong, Le Zhao, Shuai Zhang, Tao Sun, Wanjun Jiang, Enke Liu, Feng Jin, Tiantian Zhang, and Luyi Yang, “Mag- netic order induced chiral phonons in a ferromagnetic weyl semimetal,” Phys. Re...

    2025

  17. [25]

    Emerging research landscape of altermagnetism,

    Libor ˇSmejkal, Jairo Sinova, and Tomas Jungwirth, “Emerging research landscape of altermagnetism,” Phys. Rev. X12, 040501 (2022)

    2022

  18. [26]

    Crystal time-reversal symmetry breaking and spontaneous hall effect in collinear anti- ferromagnets,

    Libor ˇSmejkal, Rafael Gonz´ alez-Hern´ andez, T. Jung- wirth, and J. Sinova, “Crystal time-reversal symmetry breaking and spontaneous hall effect in collinear anti- ferromagnets,” Science Advances6, eaaz8809 (2020), https://www.science.org/doi/pdf/10.1126/sciadv.aaz8809

    2020 doi

  19. [27]

    Editorial: Altermagnetism—a new punch line of fundamental magnetism,

    Igor Mazin (The PRX Editors), “Editorial: Altermagnetism—a new punch line of fundamental magnetism,” Phys. Rev. X12, 040002 (2022)

    2022

  20. [28]

    Altermagnetic lifting of kramers spin degeneracy,

    J. Krempask´ y, L. ˇSmejkal, S. W. D’Souza, M. Ha- jlaoui, G. Springholz, K. Uhl´ ıˇ rov´ a, F. Alarab, P. C. Constantinou, V. Strocov, D. Usanov, W. R. Pudelko, R. Gonz´ alez-Hern´ andez, A. Birk Hellenes, Z. Jansa, H. Reichlov´ a, Z. ˇSob´ aˇ n, R. D. Gonzalez Betancourt, P....

    2024

  21. [29]

    Symmetry-driven spin splitting in altermagnets: an angle-resolved photoemis- sion spectroscopy perspective,

    Jiayu Liu, Xun Ma, Xinnuo Zhang, Wenchuan Jing, Zhengtai Liu, and Dawei Shen, “Symmetry-driven spin splitting in altermagnets: an angle-resolved photoemis- sion spectroscopy perspective,” Nano Convergence13, 6 (2026)

    2026

  22. [30]

    Nanoscale imaging and control of alter- magnetism in mnte,

    O. J. Amin, A. Dal Din, E. Golias, Y. Niu, A. Za- kharov, S. C. Fromage, C. J. B. Fields, S. L. Heywood, R. B. Cousins, F. Maccherozzi, J. Krempask´ y, J. H. Dil, D. Kriegner, B. Kiraly, R. P. Campion, A. W. Rushforth, K. W. Edmonds, S. S. Dhesi, L. ˇSmejkal, T. Jungwirth, and...

    2024

  23. [31]

    Broken kramers degener- acy in altermagnetic mnte,

    Suyoung Lee, Sangjae Lee, Saegyeol Jung, Jiwon Jung, Donghan Kim, Yeonjae Lee, Byeongjun Seok, Jaeyoung Kim, Byeong Gyu Park, Libor ˇSmejkal, Chang-Jong Kang, and Changyoung Kim, “Broken kramers degener- acy in altermagnetic mnte,” Phys. Rev. Lett.132, 036702 (2024)

    2024

  24. [32]

    Altermagnetism in mnte: Origin, predicted manifestations, and routes to detwinning,

    I. I. Mazin, “Altermagnetism in mnte: Origin, predicted manifestations, and routes to detwinning,” Phys. Rev. B 107, L100418 (2023)

    2023

  25. [33]

    Al- termagnetic nanotextures revealed in bulk MnTe,

    Rikako Yamamoto, Luke Alexander Turnbull, Marcus Schmidt, Jos´ e Claudio Corsaletti Filho, Hayden Jeffrey Binger, Marisel Di Pietro Mart´ ınez, Markus Weigand, Simone Finizio, Yurii Prots, George Matthew Ferguson, Uri Vool, Sebastian Wintz, and Claire Donnelly, “Al- termagneti...

    2025

  26. [34]

    Direct observation of altermagnetic band splitting in crsb thin films,

    Sonka Reimers, Lukas Odenbreit, Libor ˇSmejkal, Vladimir N. Strocov, Procopios Constantinou, Anna B. Hellenes, Rodrigo Jaeschke Ubiergo, Warlley H. Cam- pos, Venkata K. Bharadwaj, Atasi Chakraborty, Thibaud Denneulin, Wen Shi, Rafal E. Dunin-Borkowski, Suvadip Das, Mathias Kl¨...

    2024

  27. [35]

    Large anisotropic x-ray magnetic circu- lar dichroism in altermagnetic crsb with collinear antifer- romagnetic structure at room temperature,

    Wan Li, Wei Li, Mengting Zou, Yanlong Yin, Hang Li, Gexing Qu, Yaobo Huang, Rui Yu, Haijun Yang, and Baomin Wang, “Large anisotropic x-ray magnetic circu- lar dichroism in altermagnetic crsb with collinear antifer- romagnetic structure at room temperature,” Phys. Rev. B111, 22...

    2025

  28. [36]

    Ab initio molecular dynam- ics for liquid metals,

    G. Kresse and J. Hafner, “Ab initio molecular dynam- ics for liquid metals,” Phys. Rev. B47, 558(R)–561(R) (1993)

    1993

  29. [37]

    Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set,

    G. Kresse and J. Furthm¨ uller, “Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set,” Computational Materials Science6, 15–50 (1996)

    1996

  30. [38]

    Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set,

    G. Kresse and J. Furthm¨ uller, “Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set,” Phys. Rev. B54, 11169–11186 (1996)

    1996

  31. [39]

    Unlocking doping effects on altermagnetism in mnte: Emergence of quasi-altermagnetism,

    Nayana Devaraj, Anumita Bose, Arindom Das, Md Afsar Reja, Arijit Mandal, Awadhesh Narayan, and B. R. K. Nanda, “Unlocking doping effects on altermagnetism in mnte: Emergence of quasi-altermagnetism,” Phys. Rev. B113, 104438 (2026)

    2026

Pith tools

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