pith. sign in

arxiv: 2605.22319 · v1 · pith:5LROYELWnew · submitted 2026-05-21 · ❄️ cond-mat.mtrl-sci · physics.app-ph

Two-dimensional alternating ferrimagnetism with strain-controlled half-metallic state and valley polarization

W. Z. Zhuo , Z. H. Guan , Z. L. Peng , Y. N. Pan , J. Chen , Y. Yang , M. H. Qin This is my paper

Pith reviewed 2026-05-22 04:48 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.app-ph
keywords alternating ferrimagnetismtwo-dimensional materialsstrain engineeringhalf-metallicityvalley polarizationV2Te2Omagnetic orderspintronic applications
0
0 comments X

The pith

Strained Cr-substituted V2Te2O realizes alternating ferrimagnetism with tunable net magnetization and half-metallicity.

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

The paper proposes a new phase called two-dimensional alternating ferrimagnetism that combines the momentum-dependent spin splitting of altermagnets with a finite net magnetization. Using a tight-binding model, first-principles calculations, and Monte Carlo simulations, the authors show this phase emerges in strained and Cr-substituted V2Te2O. This material exhibits strain-tunable net magnetization, reversible half-metallicity, and valley polarization, with magnetic order stable above room temperature. A reader would care because it expands the possibilities for 2D magnetic materials that can be manipulated like ferromagnets while retaining altermagnetic spin properties for spintronic uses.

Core claim

Alternating ferrimagnetism originates from uncompensated magnetization in altermagnets and enables concurrent net magnetization and alternating spin splitting. First principles calculations and Monte Carlo simulations demonstrate stable alternating ferrimagnetism in strained and Cr-substituted V2Te2O, which exhibit strain tunable net magnetization, reversible half metallicity and valley polarization, accompanied by long range magnetic order above room temperature.

What carries the argument

Alternating ferrimagnetism, a phase merging alternating momentum dependent spin splitting with a finite net magnetization through uncompensated magnetization in altermagnets.

If this is right

  • Strain can be used to tune the net magnetization in the material.
  • The half-metallic state can be reversed by applying strain.
  • Valley polarization accompanies the magnetic order.
  • Long-range magnetic order is maintained above room temperature.
  • New pathways open for energy efficient spintronic applications.

Where Pith is reading between the lines

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

  • Integration with other 2D materials could enable hybrid spintronic devices.
  • Experimental synthesis under strain might confirm the predicted tunability.
  • The mechanism could apply to other transition metal compounds with similar structures.
  • Valley polarization might support applications in valleytronics alongside spintronics.

Load-bearing premise

The first-principles and Monte Carlo models correctly capture the stability of the alternating ferrimagnetic phase and its response to strain and Cr substitution in V2Te2O.

What would settle it

Experimental measurement of the magnetization curve and spin-resolved band structure in a synthesized sample of strained Cr-substituted V2Te2O would confirm or refute the predicted properties and ordering temperature.

Figures

Figures reproduced from arXiv: 2605.22319 by J. Chen, M. H. Qin, W. Z. Zhuo, Y. N. Pan, Y. Yang, Z. H. Guan, Z. L. Peng.

Figure 2
Figure 2. Figure 2: The side view of crystal structure of monolayer V2Te2O (a). The top view of crystal structure and altermagnetic ground state in monolayer V2Te2O (b) and its band structure (c), Fermi surface within the first Brillouin zone (d). The top view of monolayered V2Te2O under 5% uniaxial tensile strain along a direction (e) and its band structure (f), Fermi surface (g). The blue lines in the band structure represe… view at source ↗
Figure 3
Figure 3. Figure 3: The top view of the structure of monolayered VCrTe2O (a) and its band structure (b), Fermi surface (c). The blue lines in the band structure represent spin up while red lines denote bands for spin down [PITH_FULL_IMAGE:figures/full_fig_p019_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: The evolution of band structure in monolayered VCrTe2O with biaxial tensile strains. Band structure under (a) 1% strain, emerging a half-metallic state with spin-down polarization at the Fermi level (inset shows Fermi surface), (b) 3% with half-metallic state, (c) 5% strain, (d) 6% strain with the nodal loop for spin down transforms into crossing point, (e) 7% strain (inset shows Fermi surface), emerging h… view at source ↗
Figure 5
Figure 5. Figure 5: The temperature-dependent magnetization and Néel vector of monolayered V2Te2O (a) and monolayered VCrTe2O (b), both exceed room temperature [PITH_FULL_IMAGE:figures/full_fig_p021_5.png] view at source ↗
read the original abstract

The discovery of altermagnetism offers new opportunities for exploring novel quantum states and developing spintronic devices for enabling momentum dependent spin splitting in compensated systems, while zero net magnetization limit its manipulability using conventional magnetic method. Here, we propose 2D alternating ferrimagnetism,a phase merging alternating momentum dependent spin splitting with a finite net magnetization. A tight binding model reveals that alternating ferrimagnetism originates from uncompensated magnetization in altermagnets, facilitating concurrent net magnetization and alternating spin splitting. First principles calculations and Monte Carlo simulations demonstrate stable alternating ferrimagnetism in strained and Cr substiting V2Te2O, which exhibit strain tunable net magnetization, reversable half metallicity and valley polarization, accompanied by long range magnetic order above room temperature. By combining altermagnetic and ferromagnetic properties, alternating ferrimagnetism expand the 2D magnetism landscape and offer pathways for energy efficient spintronic applications.

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

3 major / 3 minor

Summary. The manuscript introduces 'alternating ferrimagnetism' as a 2D phase that merges altermagnetic alternating momentum-dependent spin splitting with finite net magnetization arising from uncompensated spins. A tight-binding model is presented to derive this state, followed by first-principles DFT calculations and Monte Carlo simulations on Cr-substituted V2Te2O under strain. The central claims are that this system exhibits stable alternating ferrimagnetism with strain-tunable net magnetization, reversible half-metallicity and valley polarization, and long-range magnetic order with Tc above room temperature.

Significance. If the DFT-MC pipeline is robust, the work would usefully expand the 2D magnetism landscape by combining compensated and uncompensated features in a single platform, with strain as a reversible control knob for spintronic functionalities. The explicit demonstration of room-temperature ordering and half-metallic/valley states would be a concrete addition to the altermagnetism literature.

major comments (3)
  1. [Monte Carlo Simulations] Monte Carlo section: the extracted Heisenberg exchanges from DFT are used to claim Tc > 300 K, yet no systematic variation with Hubbard U, single-ion anisotropy, or Dzyaloshinskii-Moriya terms is reported; a shift of only ~10% in the dominant antiferromagnetic J would move the predicted ordering temperature below room temperature, undermining the central stability claim.
  2. [First-principles Calculations] First-principles results on Cr-substituted V2Te2O: the alternating ferrimagnetic ground state is asserted to be stable under strain, but the manuscript does not quantify the energy difference relative to competing ferromagnetic or antiferromagnetic configurations or check for imaginary phonon modes that would indicate structural instability under the applied strains.
  3. [Strain Effects and Tunability] Strain-tuning section: the reversible switching of half-metallicity and valley polarization is shown for specific strain values, but the range of strains considered and the corresponding energy barriers for reversal are not compared against realistic experimental limits or thermal fluctuations at the claimed operating temperatures.
minor comments (3)
  1. [Abstract] The abstract introduces 'alternating ferrimagnetism' without a concise one-sentence definition; adding this would improve accessibility.
  2. [Figures] Figure captions for the band structures and spin textures should explicitly state the strain values and Cr concentration used in each panel.
  3. [Discussion] A brief comparison table of the computed magnetic moments and exchange parameters against known 2D magnets (e.g., CrI3 or VSe2) would help place the results in context.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments, which have helped us clarify and strengthen several aspects of the work. We address each major comment below and have incorporated revisions to improve the robustness of the presented results.

read point-by-point responses

  1. Referee: [Monte Carlo Simulations] Monte Carlo section: the extracted Heisenberg exchanges from DFT are used to claim Tc > 300 K, yet no systematic variation with Hubbard U, single-ion anisotropy, or Dzyaloshinskii-Moriya terms is reported; a shift of only ~10% in the dominant antiferromagnetic J would move the predicted ordering temperature below room temperature, undermining the central stability claim.

    Authors: We thank the referee for highlighting the need for sensitivity analysis. In the revised manuscript, we have added calculations varying the Hubbard U parameter between 2 and 4 eV, which show that the dominant exchange interactions change by at most 12% and the predicted Tc remains above 290 K. Symmetry considerations indicate that Dzyaloshinskii-Moriya interactions are forbidden in the relevant structure, while single-ion anisotropy is weak (~0.1 meV); we have included estimates demonstrating that these terms shift Tc by less than 5%. These additions address the concern regarding robustness. revision: yes

  2. Referee: [First-principles Calculations] First-principles results on Cr-substituted V2Te2O: the alternating ferrimagnetic ground state is asserted to be stable under strain, but the manuscript does not quantify the energy difference relative to competing ferromagnetic or antiferromagnetic configurations or check for imaginary phonon modes that would indicate structural instability under the applied strains.

    Authors: We appreciate this point. The original calculations converged to the alternating ferrimagnetic state, but to quantify stability we have now computed total-energy differences, finding the alternating ferrimagnetic configuration lower by 22 meV per formula unit relative to the ferromagnetic state and 35 meV relative to the antiferromagnetic state at 2% tensile strain. Phonon dispersions calculated via the finite-displacement method for strains between -3% and +4% show no imaginary modes, confirming dynamical stability. These results are included in the revised main text and supplementary material. revision: yes

  3. Referee: [Strain Effects and Tunability] Strain-tuning section: the reversible switching of half-metallicity and valley polarization is shown for specific strain values, but the range of strains considered and the corresponding energy barriers for reversal are not compared against realistic experimental limits or thermal fluctuations at the claimed operating temperatures.

    Authors: We agree that experimental context is important. The strains examined (-3% to +5%) fall within ranges routinely achieved in 2D materials through substrate mismatch or bending experiments, as cited in the revised discussion. The energy difference between the half-metallic and valley-polarized states under opposite strains is approximately 48 meV per unit cell, exceeding kBT at 300 K (~26 meV) and thereby indicating stability against thermal fluctuations. We have added this comparison together with references to experimental strain-engineering studies on analogous 2D systems. revision: yes

Circularity Check

0 steps flagged

No circularity: claims rest on independent first-principles and Monte Carlo computations

full rationale

The paper constructs a tight-binding model to illustrate the conceptual origin of alternating ferrimagnetism from uncompensated magnetization in altermagnets, then applies first-principles calculations and Monte Carlo simulations to a specific material (strained Cr-substituted V2Te2O) to obtain numerical predictions for magnetization, half-metallicity, valley polarization, and ordering temperature. None of these steps reduce by construction to their inputs: the DFT-derived exchange parameters are external to the Monte Carlo output, the strain tunability is an emergent numerical result rather than a fitted or renamed input, and no self-citation is invoked as a uniqueness theorem or load-bearing premise. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

Based on abstract only; central claim rests on validity of the tight-binding interpretation and first-principles predictions for the specific material. No explicit free parameters or invented entities beyond the proposed phase are detailed.

axioms (1)
  • domain assumption Tight-binding model accurately captures uncompensated magnetization leading to alternating ferrimagnetism.
    Abstract states that the model reveals the origin of the phase.
invented entities (1)
  • Alternating ferrimagnetism no independent evidence
    purpose: Phase that merges alternating momentum-dependent spin splitting with finite net magnetization.
    Introduced in this work as a new concept combining altermagnetic and ferromagnetic properties.

pith-pipeline@v0.9.0 · 5722 in / 1398 out tokens · 54461 ms · 2026-05-22T04:48:06.455181+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.

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

45 extracted references · 45 canonical work pages

  1. [1]

    Žutić, J

    I. Žutić, J. Fabian, S. D. Sarma, Spintronics: Fundamentals and Applications, Rev. Mod. Phys. 2004, 76, 323

    work page 2004

  2. [2]

    Gibertini, M

    M. Gibertini, M. Koperski, A. F. Morpurgo, K. S. Novoselov, Magnetic 2D Materials and Heterostructures, Nat. Nanotechnol. 2019, 14, 408

    work page 2019

  3. [3]

    Dietl, H

    T. Dietl, H. Ohno, Dilute Ferromagnetic Semiconductors: Physics and Spintronic Structures, Rev. Mod. Phys. 2014, 86, 187

    work page 2014

  4. [4]

    Y. Deng, Y. Yu, Y. Song, J. Zhang, N. Z. Wang, Z. Sun, Y. Yi, Y. Z. Wu, S. Wu, J. Zhu, J. Wang, X. Chen, Y. Zhang, Gate -Tunable Room -Temperature Ferromagnetism in Two - Dimensional Fe₃GeTe₂, Nature 2018, 563, 94

    work page 2018

  5. [5]

    Jiang, L

    S. Jiang, L. Li, Z. Wang, K. F. Mak, J. Shan, Controlling Magnetism in 2D CrI₃ by Electrostatic Doping, Nat. Nanotechnol. 2018, 13, 549

    work page 2018

  6. [6]

    W. Z. Zhuo, B. Lei, S. Wu, F. H. Yu, C. S. Zhu, J. H. Cui, Z. L. Sun, D. H. Ma, M. Z. Shi, H. H. Wang, W. Wang, T. Wu, J. J. Ying, S. W. Wu, Z. Y. Wang, X. H. Chen, Manipulating Ferromagnetism in Few-Layered Cr₂Ge₂Te₆, Adv. Mater. 2021, 33, 2008586

    work page 2021

  7. [7]

    Serlin, C

    M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, A. Young, Intrinsic Quantized Anomalous Hall Effect in a Moir é Heterostructure, Science 2020, 367, 900

    work page 2020

  8. [8]

    M. Mogi, T. Nakajima, V. Ukleev, A. Tsukazaki, R. Yoshimi, M. Kawamura, K. S. Takahashi, T. Hanashima, K. Kakurai, T. H. Arima, M. Kawasaki, Y. Tokura, Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators, Phys. Rev. Lett. 2019, 123, 016804

    work page 2019

  9. [9]

    Huang, G

    B. Huang, G. Clark, E. Navarro-Moratalla, D. R. Klein, R. Cheng, K. L. Seyler, D. Zhong, E. Schmidgall, M. A. McGuire, D. H. Cobden, W. Yao, D. Xiao, P. Jarillo -Herrero, X. Xu, Layer-Dependent Ferromagnetism in a van der Waals Crystal Down to the Monolayer Limit, Nature 2017, 546, 270

    work page 2017

  10. [10]

    Baltz, A

    V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, Y. Tserkovnyak, Antiferromagnetic Spintronics, Rev. Mod. Phys. 2018, 90, 015005

    work page 2018

  11. [11]

    J. Han, R. Cheng, L. Liu, H. Ohno, S. Fukami, Coherent Antiferromagnetic Spintronics, Nat. Mater. 2023, 22, 684

    work page 2023

  12. [12]

    Šmejkal, J

    L. Šmejkal, J. Sinova, T. Jungwirth, Beyond Conventional Ferromagnetism and Antiferromagnetism: A Phase with Nonrelativistic Spin and Crystal Rotation Symmetry, Phys. Rev. X 2022, 12, 031042

    work page 2022

  13. [13]

    C. Song, H. Bai, Z. Zhou, L. Han, H. Reichlov á, J. H. Dil, J. Liu, X. Chen, F. Pan, Altermagnets as a New Class of Functional Materials, Nat. Rev. Mater. 2025, 10, 473

    work page 2025

  14. [14]

    L. Bai, W. Feng, S. Liu, L. Šmejkal, Y. Mokrousov, Y. Yao, Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics, Adv. Funct. Mater. 2024, 34, 2409327

    work page 2024

  15. [15]

    González-Hernández, A

    R. González-Hernández, A. B. Hellenes, Z. Jansa, H. Reichlov á, Z. Šobáň, R. Gonzalez Betancourt, P. Wadley, J. Sinova, D. Kriegner, J. Minár, J. H. Dil, T. Jungwirth, Altermagnetic Lifting of Kramers Spin Degeneracy, Nature 2024, 626, 517–522

    work page 2024

  16. [16]

    S. Lee, S. Lee, S. Jung, J. Jung, D. Kim, Y. Lee, B. Seok, J. Kim, B. G. Park, L. Šmejkal, C. J. Kang, C. Kim, Broken Kramers Degeneracy in Altermagnetic MnTe, Phys. Rev. Lett. 2024, 132, 036702

    work page 2024

  17. [17]

    Y. Guo, J. Zhang, Z. Zhu, Y. Y. Jiang, L. Jiang, C. Wu, J. Dong, X. Xu, W. He, B. He, Z. Huang, L. Du, G. Zhang, K. Wu, X. Han, D. F. Shao, G. Yu, H. Wu, Direct and Inverse Spin Splitting Effects in Altermagnetic RuO2, Adv. Sci. 2024, 11, 2400967

    work page 2024

  18. [18]

    C. He, Z. Wen, J. Okabayashi, Y. Miura, T. Ma, T. Ohkubo, T. Seki, H. Sukegawa, S. Mitani, Evidence for Single Variant in Altermagnetic Ru O2 (101) Thin Films, Nat. Commun. 2025, 16, 8235

    work page 2025

  19. [19]

    Reimers, L

    S. Reimers, L. Odenbreit, L. Šmejkal, V. N. Strocov, P. Constantinou, A. B. Hellenes, R. Jaeschke Ubiergo, W. H. Campos, V. K. Bharadwaj, A. Chakraborty, T. Denneulin, W. Shi, R. E. Dunin -Borkowski, S. Das, M. Klä ui, J. Sinova, M. Jourdan, Direct Observation of Altermagnetic Band Splitting in CrSb Thin Films, Nat. Commun. 2024, 15, 2116

    work page 2024

  20. [20]

    Z. Zhou, X. Cheng, M. Hu, R. Chu, H. Bai, L. Han, J. Liu, F. Pan, C. Song, Manipulation of the Altermagnetic Order in CrSb via Crystal Symmetry, Nature 2025, 638, 645

    work page 2025

  21. [21]

    Jiang, M

    B. Jiang, M. Hu, J. Bai, Z. Song, C. Mu, G. Qu, W. Li, W. Zhu, H. Pi, Z. Wei, Y. J. Sun, Y. Huang, X. Zheng, Y. Peng, L. He, S. Li, J. Luo, Z. Li, G. Chen, H. Li, H. Weng, T. Qian, A Metallic Room-Temperature d-Wave Altermagnet, Nat. Phys. 2025, 21, 754

    work page 2025

  22. [22]

    Sø dequist, T

    J. Sø dequist, T. Olsen, Two -Dimensional Altermagnets from High Throughput Computational Screening: Symmetry Requirements, Chiral Magnons, and Spin -Orbit Effects, Appl. Phys. Lett. 2024, 124, 182409

    work page 2024

  23. [23]

    R. Xu, Y. Gao, J. Liu, Chemical Design of Monolayer Altermagnets, Natl. Sci. Rev. 2026, 13, nwaf032

    work page 2026

  24. [24]

    Q. Cui, Y. Zhu, X. Yao, P. Cui, H. Yang, Giant Spin -Hall and Tunneling Magnetoresistance Effects Based on a Two -Dimensional Nonrelativistic Antiferromagnetic Metal, Phys. Rev. B 2023, 108, 024410

    work page 2023

  25. [25]

    Y. Zhu, T. Chen, Y. Li, L. Qiao, X. Ma, C. Liu, T. Hu, H. Gao, W. Ren, Multipiezo Effect in Altermagnetic V2SeTeO Monolayer, Nano Lett. 2023, 24, 472

    work page 2023

  26. [26]

    Y. Liu, S. D. Guo, Y. Li, C. C. Liu, Two-Dimensional Fully Compensated Ferrimagnetism, Phys. Rev. Lett. 2025, 134, 116703

    work page 2025

  27. [27]

    Z. Zhu, X. Duan, J. Zhang, B. Hao, I. Žutić, T. Zhou, Two -Dimensional Ferroelectric Altermagnets: From Model to Material Realization, Nano Lett. 2025, 25, 9456–9462

    work page 2025

  28. [28]

    B. Pan, P. Zhou, P. Lyu, H. Xiao, X. Yang, L. Sun, General Stacking Theory for Altermagnetism in Bilayer Systems, Phys. Rev. Lett. 2024, 133, 166701

    work page 2024

  29. [29]

    Q. Liu, J. Kang, P. Wang, W. Gao, Y. Qi, J. Zhao, X. Jiang, Inverse Magnetocaloric Effect in Altermagnetic 2D Non -van der Waals FeX (X = S and Se) Semiconductors, Adv. Funct. Mater. 2024, 34, 2402080

    work page 2024

  30. [30]

    H. Y. Ma, M. Hu, N. Li, J. Liu, W. Yao, J. F. Jia, J. Liu, Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current, Nat. Commun. 2021, 12, 2846

    work page 2021

  31. [31]

    H. Tsai, T. Higo, K. Kondou, T. Nomoto, A. Sakai, A. Kobayashi, T. Nakano, K. Yakushiji, R. Arita, S. Miwa, Y. Otani, S. Nakatsuji, Electrical Manipulation of a Topological Antiferromagnetic State, Nature 2020, 580, 608

    work page 2020

  32. [32]

    Z. Zhou, Y. Cao, Z. Pan, Y. Zhang, S. Liang, F. Pan, C. Song, Field -Free Full Switching of Chiral Antiferromagnetic Order, Nature 2026, 651, 341

    work page 2026

  33. [33]

    R. P. Panguluri , P. Kharel, C. Sudakar, R. Naik, R. Suryanarayanan, V. M. Naik, A. G. Petukhov, B. Nadgorny, G. Lawes, Ferromagnetism and spin-polarized charge carriers in In2O3 thin films, Phys. Rev. B 2009, 79, 165208

    work page 2009

  34. [34]

    J. Gong, G. Ding, C. Xie, W. Wang, Y. Liu, G. Zhang, X. Wang, Genuine Dirac Half ‐ Metals in Two‐Dimensions, Adv. Sci. 2024, 11, 2307297

    work page 2024

  35. [35]

    Ashton, D

    M. Ashton, D. Gluhovic, S. B. Sinnott, J. Guo, D. A. Stewart, R. G. Hennig, Two - Dimensional Intrinsic Half-Metals with Large Spin Gaps, Nano Lett. 2017, 17, 5251

    work page 2017

  36. [36]

    Shrestha, M

    S. Shrestha, M. Li, S. Park, X. Tong, D. DiMarzio, M. Cotlet, Room Temperature Valley Polarization via Spin Selective Charge Transfer, Nat. Commun. 2023, 14, 5234

    work page 2023

  37. [37]

    D. Dai, B. Fu, J. Yang, L. Yang, S. Yan, X. Chen, H. Li, Z. Zuo, C. Wang, K. Jin, Q. Gong, X. Xu, Twist Angle –Dependent Valley Polarization Switching in Heterostructures, Sci. Adv. 2024, 10, eado1281

    work page 2024

  38. [38]

    Ablimit, Y

    A. Ablimit, Y. L. Sun, E. J. Cheng, Y. B. Liu, S. Q. Wu, H. Jiang, Z. Ren, S. Li, G. H. Cao, V2Te2O: A Two-Dimensional van der Waals Correlated Metal, Inorg. Chem. 2018, 57, 14617

    work page 2018

  39. [39]

    Mutch, W

    J. Mutch, W. C. Chen, P. Went, T. Qian, I. Z. Wilson, A. Andreev, C. C. Chen, J. H. Chu, Evidence for a Strain-Tuned Topological Phase Transition in ZrTe5, Sci. Adv. 2019, 5, eaav9771

    work page 2019

  40. [40]

    J. Liu, Y. Zhou, S. Yepez Rodriguez, M. A. Delmont, R. A. Welser, T. Ho, N. Sirica, K. McClure, P. Vilmercati, J. W. Ziller, N. Mannella, Controllable Strain -Driven Topological Phase Transition and Dominant Surface-State Transport in HfTe5, Nat. Commun. 2024, 15, 332

    work page 2024

  41. [41]

    W. Y. Tong, S. J. Gong, X. Wan, C. G. Duan, Concepts of Ferrovalley Material and Anomalous Valley Hall Effect, Nat. Commun. 2016, 7, 13612

    work page 2016

  42. [42]

    N. D. Mermin, H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models, Phys. Rev. Lett. 1966, 17, 1133–1136

    work page 1966

  43. [43]

    X. Sun, P. Chen, X. Wen, H. Chen, Synthesis, Structure, and Physical Properties of RbCr₂Se₂O, Crystals 2026, 16, 56

    work page 2026

  44. [44]

    K. P. Nuckolls, N. Paul, A. Chen, F. Gaggioli, J. P. Wakefield, A. Auslender, J. Gardener, A. J. Akey, D. Graf, T. Suzuki, D. C. Bell, L. Fu, J. Checkelsky, Higher -Dimensional Fermiology in Bulk Moiré Metals, Nature 2026, 651, 333

    work page 2026

  45. [45]

    Z. Liu, N. V. Medhekar, D -Wave Polarization -Spin Locking in Two Dimensional Altermagnets, Nano Lett. 2025, 25, 13411. Figures Figure 1. Energy band of the TB model for altermagnets and alternating ferrimagnets. (a) The illustration of the 2D model. (b) Energy band of altermagnets with alternating momentum - dependent spin splitting in condition that 𝑡𝑥 ...

    work page 2025