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Bichromatic laser light can switch the spatial parity of spin-split bands in a coplanar antiferromagnet between odd, even, and mixed, depending on the harmonic order of the second beam.

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2026-08-01 09:16 UTC pith:DYV3HVK7

load-bearing objection A clean, likely publishable Floquet-engineering result for parity-selective spin splitting, with the caveat that the 'strict/exclusive' parity claims are proven only to leading order in 1/ω and the high-T expansion. the 3 major comments →

arxiv 2607.27335 v1 pith:DYV3HVK7 submitted 2026-07-29 cond-mat.mtrl-sci cond-mat.mes-hall

Parity-selective spin splitting in coplanar antiferromagnets via bichromatic driving

Di Zhu , Zhongbo Yan , Mohsen Yarmohammadi This is my paper
classification cond-mat.mtrl-sci cond-mat.mes-hall
keywords antiferromagnetic spintronicsFloquet engineeringbichromatic drivingparity-selective spin splittingcoplanar antiferromagnetspin polarizationspin-resolved ARPESspin currents
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

This paper tries to establish that shining two harmonically related laser beams on a bilayer coplanar antiferromagnet gives deterministic, on-demand control over whether the momentum-dependent spin splitting—the way spin-up and spin-down electron bands split differently at opposite momenta—is odd, even, or mixed. In the undriven material, the bands are spin-degenerate; ordinary monochromatic light can only produce even-parity splitting. The authors show that when the second beam has twice the fundamental frequency, the light-induced coupling generates odd-parity (p-wave) and mixed-parity (p+d or s+p+d) textures whose shape can be tuned by polarization and phase. When the harmonic order is three or higher, they find that only even-parity (s+d or d-wave) splittings survive. The payoff is that parity becomes a tunable property of a single material rather than a fixed constraint of its crystal symmetry, with consequences visible in spin currents and spin-resolved photoemission.

Core claim

The paper's central claim is that in the bilayer coplanar antiferromagnet, the parity of the dynamically induced spin splitting is governed by a single generated term Fα (an effective imaginary hopping and gauge-flux term), and the harmonic order of the second beam selects the parity class: for n=2, Fα contains odd functions of momentum (ky, kx, or combinations with kxky depending on polarization), while for n≥3, Fα is even (constant and kxky only). Because the spin polarization at the lowest nonvanishing order is proportional to t t_s (X+Y) R Fα M_x M_y, the symmetry of the spin texture reduces to the symmetry of Fα. This yields the rule that ω–2ω linearly polarized light produces pure p-wa

What carries the argument

The mechanism is the Floquet effective Hamiltonian obtained by Peierls substitution, Fourier expansion, and the high-frequency commutator series. The workhorse object is the generated coupling Fα multiplying (τ_y σ_z − τ_z σ_y), described as a light-induced imaginary hopping or gauge flux; it is the only term whose momentum dependence determines parity. A high-temperature expansion of the density matrix gives the leading spin polarization as g_z^5 ∝ t t_s (X+Y) R Fα M_x M_y, so any statement about spin-splitting parity reduces to a statement about Fα. Three polarization protocols (linearly polarized pair, circularly polarized pair, circular-linear pair) produce different momentum dependences

Load-bearing premise

The clean even/odd/mixed classification comes from a calculation near the band-center momentum with only the leading terms in frequency, temperature, and momentum; if higher-order corrections matter at experimentally accessible momenta, the strict parity separation could fail.

What would settle it

On a sample of the bilayer coplanar antiferromagnet described in the paper, drive with ω–3ω circularly polarized light and measure the spin texture with spin-resolved photoemission or search for a quench spin current: the paper predicts a strictly even-parity texture and zero spin current, so observing odd-parity asymmetry or a nonzero spin current at any finite momentum would falsify it.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • For ω–2ω BLPL, the p-wave spin splitting scales linearly with S, the amplitude of the second beam, so it exists only when both colors are present—a direct signature of the two-beam mechanism.
  • For ω–2ω BCPL, the d-wave part can be eliminated for counter-rotating beams with S²=2, leaving a purely p-wave splitting, and the relative phase can select p_x or p_y orientation.
  • For n≥3, only even-parity splittings (s+d or d) arise, and the d-wave can be completely suppressed for counter-rotating beams with S²=n, giving a controllable even-parity state.
  • Quench-generated macroscopic spin currents vanish for n≥3 because inversion symmetry is preserved, so a finite spin current after an optical quench is a transport fingerprint of odd-parity (ω–2ω) spin splitting.
  • Spin-resolved ARPES should show sign reversal under k→−k for ω–2ω BLPL, a breaking of that antisymmetry for ω–2ω BCPL, and symmetric textures for ω–3ω BCLPL.

Where Pith is reading between the lines

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

  • If the same parity filter survives beyond the Γ-point expansion, harmonic order n could act as a general parity dial for Floquet-engineered antiferromagnets; the natural next test is a full-lattice simulation away from Γ.
  • The quench spin current could serve as an ultrafast parity meter: pump with ω–2ω versus ω–3ω and read the spin-current direction and magnitude, mapping the parity choice onto a measurable signal without photoemission.
  • The appearance of s-wave magnetization for BCLPL and BCPL at n≥3 suggests two-color driving can also toggle net magnetization, potentially enabling all-optical magnetic writing in a nominally compensated magnet.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 5 minor

Summary. The paper studies a tight-binding model of a bilayer coplanar antiferromagnet (BCAFM) and shows, through a Γ-point low-energy expansion, that bichromatic ω–nω Floquet driving can generate momentum-dependent spin splittings whose parity is controlled by the polarization geometry and harmonic order n. For n=2, the authors find odd-parity (p-wave), mixed-parity (p+d and s+p+d) states depending on whether the drive is BLPL, BCPL, or BCLPL; for n≥3 they find exclusively even-parity (s+d or d-wave) states or no splitting. They further propose that the parity can be probed by quench-induced macroscopic spin currents or by spin-resolved ARPES. The analytic Floquet commutator algebra and the high-temperature expansion are presented in detail in the main text and the Supplemental Material, with explicit tables for the effective Hamiltonian coefficients for n=2,3,≥4.

Significance. If the claimed parity hierarchy is robust, the paper would be a valuable contribution to Floquet engineering of altermagnetic and coplanar antiferromagnetic systems, because it proposes a concrete, experimentally accessible route to select odd, even, or mixed parity spin textures within a single material. The work is genuinely useful in its careful derivation of effective Floquet Hamiltonians and its systematic tabulation of the induced terms; the proposed transport and ARPES signatures are clear and falsifiable. However, the central 'strict' parity classification is derived from a high-frequency expansion truncated at O(1/ω) and a high-temperature expansion truncated at the lowest nonvanishing order, so the strength of the claims currently exceeds what has been proven.

major comments (3)
  1. [SM Sec. S2, Eq. (S43)–(S46)] The statement that 'the spatial parity of the emergent spin texture is strictly determined by Fα' follows only from the lowest nonvanishing term g_z^5 ∝ t t_s (X+Y) R F Mx My. The high-temperature expansion contains all powers of H_eff, and for odd F the combination F² is even in momentum and can contribute to g_z^6 and higher orders (the operator τyσz−τzσy has a nonzero square, so no simple cancellation is evident). No trace identity or symmetry argument is given to show that these higher-order terms vanish or preserve the parity of g_z^5. Therefore the claims of 'strictly odd' spin textures for ω–2ω BLPL and 'exclusively even' parities for n≥3 are at present leading-order statements, not exact statements about the model. The authors should either compute/estimate the next nonvanishing order or explicitly qualify the parity hierarchy as valid to leading order in the high-temperature exp
  2. [Eq. (3) and SM Sec. S1] The effective Floquet Hamiltonian is truncated at O(ω^{−1}). For BLPL and BCPL the authors note that [H_m,H_{−m}]=0 for m≥3, but this only concerns the first-order Magnus sum; the O(ω^{−2}) terms of the Magnus expansion involve additional nested commutators with H_0 and can generate momentum dependences not present at O(ω^{−1}). A single odd-parity correction at order ω^{−2} for n≥3 would invalidate the claimed 'exclusively even' classification, and a similar correction for n=2 would alter the 'strictly odd' statement. The manuscript gives no estimate of the size or parity of these corrections. This is a load-bearing gap because the harmonic hierarchy is the paper's central result.
  3. [Generalization to n≥3 and Table II] The parity classification is derived in the Γ-point continuum model keeping only terms up to O(k²). The tables and the abstract state the result without this qualification (e.g., 'exclusively produce even-parity states'). At momenta away from Γ, higher-order terms (k⁴ etc.) can in principle have a different parity under k→−k, so the classification is not strictly global for the lattice model. If the authors intend the claim only for the low-energy continuum description, this should be stated prominently; if they intend lattice-level exactness, the higher-momentum contributions need to be assessed.
minor comments (5)
  1. [Introduction, paragraph 1] The notation 'PT-like [Ē∥T C2z]' is not defined; a brief explanation or a reference to the symmetry operator would help readers.
  2. [Fig. 3(a) caption] The path Y'[(0,π/2)]–Γ–Y[(0,−π/2)] lies along k_x=0, but the labels Y' and Y are not explained in the text or the caption. Please clarify the high-symmetry notation.
  3. [SM Tables S1–S3] The tables include factors of e and ℏ, while the main text sets e=ℏ=1. This is fine technically, but a sentence noting the convention used in the tables would avoid confusion.
  4. [Fig. 2 and surrounding text] The parameter T=0.1 appears in the figure caption and text but is not identified as the temperature (or inverse temperature) in the high-temperature expansion. Please define T or β consistently.
  5. [SM Sec. S1] The sentence 'all m>4 harmonics are kinematically forbidden' could be made more explicit: for the BCLPL vector potential with n=2, the time-dependent Hamiltonian contains frequencies up to 4ω, so no higher Fourier components are generated. This is clear from the derivation but would benefit from a one-sentence derivation.

Circularity Check

0 steps flagged

No significant circularity: the parity hierarchy follows from explicit commutator algebra, with only minor non-load-bearing self-citations.

full rationale

The paper's derivation chain is self-contained. The starting tight-binding Hamiltonian H(k) is written explicitly in Eq. (1), and the bichromatic driving is treated by Peierls substitution followed by the Floquet-Magnus expansion H_eff = H_0 + sum_m [H_m,H_-m]/(mω) + O(ω^-2). The central quantities F_α are obtained as commutators (e.g., Eq. S18 for BLPL, Eq. S27-S28 for BCPL, Eq. S39-S41 for BCLPL), with no parameter fitted to any desired spin-texture parity. The spin-polarization analysis uses the high-temperature expansion, leading to g_z^5 ∝ t t_s (X_α + Y_α) R_α F_α M_x M_y; the statement that parity is 'strictly determined by F_α' is an algebraic consequence of this expression, not an input used to define F_α. The self-citation [57] supplies the background model and the monochromatic baseline, but the bichromatic parity results are derived in the present work's supplemental material and do not reduce to that citation. No uniqueness theorem is imported, no ansatz is smuggled via citation, and the predictions (spin currents, spin-resolved ARPES) are computed from the derived effective Hamiltonian rather than fitted. The truncation caveat (O(k^2) continuum expansion, leading-order Floquet and high-temperature terms) is a robustness concern, not a circularity: higher-order corrections might alter the quantitative classification, but the derivation does not assume its conclusion. Accordingly, the paper exhibits no load-bearing circular step.

Axiom & Free-Parameter Ledger

2 free parameters · 5 axioms · 0 invented entities

The paper introduces no new particles or material entities. Its load-bearing premises are analytical expansions (Floquet, low-energy, high-temperature) and a postulated spin-current measurement formula, plus the assumed realizability of the specific magnetic heterostructure.

free parameters (2)
  • Model parameters (t, t_s, t_a, M_x, M_y) = 0.4, 0.7, 0.3, 0.5, 0.5
    Chosen to illustrate the tight-binding model; qualitative parity results do not depend on these values, but quantitative figures and spin-current magnitudes do.
  • Driving parameters (A0, S, ω, β, φ, η1, η2) = A0=0.6 or 0.6, S in [0,1], ω=5/6/10, various angles/helicities
    Tunable laser knobs scanned to demonstrate the parity regimes; they are experimental controls, not fitted to data.
axioms (5)
  • domain assumption High-frequency Floquet expansion H_eff ≈ H0 + Σ_m [H_m, H_-m]/(mω) converges and truncation at m=2n captures the parity.
    Used throughout SM S1-S3; no convergence criterion or comparison with full Floquet numerics is shown.
  • domain assumption The Γ-point low-energy expansion (cos k_j ≈ 1 - k_j²/2, keep O(k²)) captures the parity of experimentally relevant spin splitting.
    Main text states this region 'dictates dominant vertical optical transitions' but no full-Brillouin-zone check is provided.
  • ad hoc to paper Spin-polarization parity is set by the lowest nonvanishing high-temperature term g_z^5 ∝ t t_s (X+Y) R F Mx My; higher orders do not change the parity.
    SM S2 computes only g_z^5 and then asserts parity is 'strictly determined' by Fα; higher-order terms are not evaluated.
  • ad hoc to paper The quench spin current J = -∫ dk² ρ_quench(k) v^s(k) equals the macroscopic spin current and ignores relaxation/decoherence.
    Eq. (5) is stated without derivation, justification, or citation; it is the basis for the claimed transport probe.
  • domain assumption The all-out BCAFM with mutually orthogonal Néel vectors is experimentally realizable via twisted van der Waals stacks or oxide superlattices.
    Relevant for applicability; depends on cited experimental proposals rather than direct demonstration here.

pith-pipeline@v1.3.0-daily-deepseek · 136 in / 9231 out tokens · 154227 ms · 2026-08-01T09:16:28.002579+00:00 · methodology

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read the original abstract

Parity is a central characteristic of momentum-dependent spin splitting in antiferromagnets (AFMs). Yet, intrinsic crystal symmetries typically restrict the splitting to either even or odd parity, preventing flexible spin control. Using a coplanar AFM, we demonstrate that bichromatic ($\omega$--$n\omega$) Floquet driving offers a natural way to bypass this constraint. This mechanism generates asymmetric spin textures unattainable in static AFMs or under monochromatic driving. For the specific AFM considered here, we reveal an elegant relation between spin-splitting parity and harmonic hierarchy: $\omega$--$2\omega$ fields generate highly tunable odd- and mixed-parity spin splittings, whereas higher-order harmonics ($n \ge 3$) exclusively produce even-parity states. The macroscopic magnetization can also be toggled via the specific driving protocol and harmonic $n$. These distinct spin splitting states manifest in qualitatively different macroscopic spin currents generated after an optical quench---a definitive transport signature complementing direct visualization via spin- and angle-resolved photoemission spectroscopy.

Figures

Figures reproduced from arXiv: 2607.27335 by Di Zhu, Mohsen Yarmohammadi, Zhongbo Yan.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗

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Forward citations

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Reference graph

Works this paper leans on

80 extracted references · 11 linked inside Pith · cited by 1 Pith paper

  1. [1]

    Hayami, Y

    S. Hayami, Y. Yanagi, and H. Kusunose, Momentum- dependent spin splitting by collinear antiferromagnetic ordering, Journal of the Physical Society of Japan88, 123702 (2019)

    2019

  2. [2]

    L.-D. Yuan, Z. Wang, J.-W. Luo, E. I. Rashba, and A. Zunger, Giant momentum-dependent spin splitting in centrosymmetric low-Zantiferromagnets, Phys. Rev. B 102, 014422 (2020)

    2020

  3. [3]

    L.-D. Yuan, Z. Wang, J.-W. Luo, and A. Zunger, Pre- diction of low-Zcollinear and noncollinear antiferro- magnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling, Phys. Rev. Mater.5, 014409 (2021)

    2021

  4. [4]

    H.-Y. Ma, M. Hu, N. Li, J. Liu, W. Yao, J.-F. Jia, and J. Liu, Multifunctional antiferromagnetic materials with giant piezomagnetism and noncollinear spin current, Na- ture Communications12, 2846 (2021)

    2021

  5. [5]

    Šmejkal, J

    L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond conven- tional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X12, 031042 (2022)

    2022

  6. [6]

    Šmejkal, J

    L. Šmejkal, J. Sinova, and T. Jungwirth, Emerging re- search landscape of altermagnetism, Phys. Rev. X12, 040501 (2022)

    2022

  7. [7]

    Šmejkal, A

    L. Šmejkal, A. B. Hellenes, R. González-Hernández, J. Sinova, and T. Jungwirth, Giant and tunneling mag- netoresistance in unconventional collinear antiferromag- nets with nonrelativistic spin-momentum coupling, Phys. Rev. X12, 011028 (2022)

    2022

  8. [8]

    Z. Song, Z. Qi, C. Fang, Z. Fang, and H. Weng, A unified symmetry classification of magnetic orders via spin space groups: Prediction of coplanar even-wave phases, (2025), arXiv:2512.08901

    arXiv 2025

  9. [9]

    A. B. Hellenes, T. Jungwirth, R. Jaeschke-Ubiergo, A. Chakraborty, J. Sinova, and L. Šmejkal, P-wave mag- nets, (2024), arXiv:2309.01607

    Pith/arXiv arXiv 2024

  10. [10]

    Lin and M

    Y.-P. Lin and M. Vila, Odd-parity altermag- netism through sublattice currents: From haldane- hubbard model to general bipartite lattices, (2026), arXiv:2503.09602

    arXiv 2026

  11. [11]

    Y. Yu, M. B. Lyngby, T. Shishidou, M. Roig, A. Kreisel, M. Weinert, B. M. Andersen, and D. F. Agterberg, Odd- parity magnetism driven by antiferromagnetic exchange, Phys. Rev. Lett.135, 046701 (2025)

    2025

  12. [12]

    Zhuang, D

    Z.-Y. Zhuang, D. Zhu, D. Liu, Z. Wu, and Z. Yan, Odd- parity altermagnetism originated from orbital orders, (2026), arXiv:2508.18361

    Pith/arXiv arXiv 2026

  13. [13]

    Luo, J.-X

    X.-J. Luo, J.-X. Hu, M. Hu, and K. T. Law, Spin group symmetrycriteriaforunconventionalmagnetism, (2026), arXiv:2603.07643

    arXiv 2026

  14. [14]

    X.-J. Luo, D. Li, R.-C. Xiao, D.-F. Shao, L. Li, M. Tian, and Y. Yao, Unconventional magnetism: Sym- metry classification, hybrid-parity and unconstrained- parity classes, (2026), arXiv:2605.21336

    Pith/arXiv arXiv 2026

  15. [15]

    M. Zeng, Z. Qin, L. Qin, S. Feng, L. Wu, D.-H. Xu, and R. Wang, Odd-parity altermagnetism: A spin group study, Phys. Rev. B113, L220412 (2026)

    2026

  16. [16]

    Shao, S.-H

    D.-F. Shao, S.-H. Zhang, M. Li, C.-B. Eom, and E. Y. Tsymbal, Spin-neutral currents for spintronics, Nature Communications12, 7061 (2021)

    2021

  17. [17]

    J. A. Ouassou, A. Brataas, and J. Linder, dc Joseph- son effect in altermagnets, Phys. Rev. Lett.131, 076003 (2023)

    2023

  18. [18]

    B. Lu, K. Maeda, H. Ito, K. Yada, and Y. Tanaka,φ Josephson junction induced by altermagnetism, Phys. Rev. Lett.133, 226002 (2024)

    2024

  19. [19]

    Lin, S.-B

    H.-J. Lin, S.-B. Zhang, H.-Z. Lu, and X. C. Xie, Coulomb 6 drag in altermagnets, Phys. Rev. Lett.134, 136301 (2025)

    2025

  20. [20]

    Zhuang, D

    Z.-Y. Zhuang, D. Zhu, Z. Wu, and Z. Yan, Cartesian nodal lines and magnetic kramers Weyl nodes in spin- split antiferromagnets, Newton2, 100403 (2026)

    2026

  21. [21]

    Chakraborty and A

    D. Chakraborty and A. M. Black-Schaffer, Perfect super- conducting diode effect in altermagnets, Phys. Rev. Lett. 135, 026001 (2025)

    2025

  22. [22]

    Brekke, P

    B. Brekke, P. Sukhachov, H. G. Giil, A. Brataas, and J. Linder, Minimal models and transport properties of unconventionalp-wave magnets, Phys. Rev. Lett.133, 236703 (2024)

    2024

  23. [23]

    A. A. Hedayati and M. Salehi, Transverse spin current at normal-metal /p-wave magnet junctions, Phys. Rev. B111, 035404 (2025)

    2025

  24. [24]

    Ezawa, Out-of-plane edelstein effects: Electric field induced magnetization inp-wave magnets, Phys

    M. Ezawa, Out-of-plane edelstein effects: Electric field induced magnetization inp-wave magnets, Phys. Rev. B 111, L161301 (2025)

    2025

  25. [25]

    Zhuang, J.-X

    Z.-Y. Zhuang, J.-X. Hu, S.-B. Zhang, L.-H. Hu, and Z. Yan, Mixed-parity altermagnetism in collinear spin- orbital magnets, (2026), arXiv:2605.05205

    Pith/arXiv arXiv 2026

  26. [26]

    Zhu, Z.-Y

    D. Zhu, Z.-Y. Zhuang, Z. Wu, and Z. Yan, Topological superconductivity in two-dimensional altermagnetic met- als, Phys. Rev. B108, 184505 (2023)

    2023

  27. [27]

    Brekke, A

    B. Brekke, A. Brataas, and A. Sudbø, Two-dimensional altermagnets: Superconductivity in a minimal micro- scopic model, Phys. Rev. B108, 224421 (2023)

    2023

  28. [28]

    Zhang, L.-H

    S.-B. Zhang, L.-H. Hu, and T. Neupert, Finite- momentum Cooper pairing in proximitized altermagnets, Nature Communications15, 1801 (2024)

    2024

  29. [29]

    Chakraborty and A

    D. Chakraborty and A. M. Black-Schaffer, Zero-field finite-momentum and field-induced superconductivity in altermagnets, Phys. Rev. B110, L060508 (2024)

    2024

  30. [30]

    Chakraborty and A

    D. Chakraborty and A. M. Black-Schaffer, Constraints on superconducting pairing in altermagnets, Phys. Rev. B112, 014516 (2025)

    2025

  31. [31]

    Z.-T. Sun, X. Feng, Y.-M. Xie, B. T. Zhou, J.-X. Hu, and K. T. Law, Pseudo-Ising superconductivity induced byp-wave magnetism, Phys. Rev. B112, 214504 (2025)

    2025

  32. [32]

    K.-M. Kim, G. Sim, and M. J. Park, Topological ising superconductivity in two-dimensional p-wave magnet, (2026), arXiv:2605.01686

    Pith/arXiv arXiv 2026

  33. [33]

    Khodas, L

    M. Khodas, L. Šmejkal, and I. I. Mazin, Nonrelativistic- ising superconductivity in p-wave magnets, (2026), arXiv:2601.19829

    arXiv 2026

  34. [34]

    S. H. Lee, Y. Qian, and B.-J. Yang, Fermi surface spin texture and topological superconductivity in spin-orbit free noncollinear antiferromagnets, Phys. Rev. Lett.132, 196602 (2024)

    2024

  35. [35]

    Zhang and L.-H

    S.-B. Zhang and L.-H. Hu, Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture, Phys. Rev. B112, L100501 (2025)

    2025

  36. [36]

    Zhang, L.-H

    S.-B. Zhang, L.-H. Hu, Q. Niu, and Z. Zhang, Spin-valley locking and pure spin-triplet superconductivity in non- collinear antiferromagnets proximitized to conventional superconductors, Newton2, 100379 (2026)

    2026

  37. [37]

    Baltz, A

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

    2018

  38. [38]

    Jungwirth, X

    T. Jungwirth, X. Marti, P. Wadley, and J. Wunderlich, Antiferromagnetic spintronics, Nature Nanotechnology 11, 231 (2016)

    2016

  39. [39]

    González-Hernández, L

    R. González-Hernández, L. Šmejkal, K. Výborný, Y. Ya- hagi, J. Sinova, T. c. v. Jungwirth, and J. Železný, Efficient electrical spin splitter based on nonrelativis- tic collinear antiferromagnetism, Phys. Rev. Lett.126, 127701 (2021)

    2021

  40. [40]

    P. Liu, J. Li, J. Han, X. Wan, and Q. Liu, Spin-group symmetry in magnetic materials with negligible spin- orbit coupling, Phys. Rev. X12, 021016 (2022)

    2022

  41. [41]

    Z. Xiao, J. Zhao, Y. Li, R. Shindou, and Z.-D. Song, Spin space groups: Full classification and applications, Phys. Rev. X14, 031037 (2024)

    2024

  42. [42]

    Jiang, Z

    Y. Jiang, Z. Song, T. Zhu, Z. Fang, H. Weng, Z.-X. Liu, J. Yang, and C. Fang, Enumeration of spin-space groups: Toward a complete description of symmetries of magnetic orders, Phys. Rev. X14, 031039 (2024)

    2024

  43. [43]

    X. Chen, J. Ren, Y. Zhu, Y. Yu, A. Zhang, P. Liu, J. Li, Y. Liu, C. Li, and Q. Liu, Enumeration and Represen- tation Theory of Spin Space Groups, Phys. Rev. X14, 031038 (2024)

    2024

  44. [44]

    B. Pan, P. Zhou, Y. Hu, S. Liu, B. Zhou, H. Xiao, X. Yang, and L. Sun, Floquet-induced altermagnetic transition inA-type antiferromagnetic bilayers, Phys. Rev. B112, 224430 (2025)

    2025

  45. [45]

    T. Zhu, D. Zhou, H. Wang, S.-H. Wei, and J. Ruan, Floquet odd-parity collinear magnets, Phys. Rev. Lett. 136, 126704 (2026)

    2026

  46. [46]

    Huang, Z

    S. Huang, Z. Qin, F. Zhan, D.-H. Xu, D.-S. Ma, and R. Wang, Light-induced odd-parity magnetism in con- ventional antiferromagnetism, Phys. Rev. Lett.136, 126703 (2026)

    2026

  47. [47]

    Yarmohammadi, U

    M. Yarmohammadi, U. Zülicke, J. Berakdar, J. Linder, and J. K. Freericks, Anisotropic light-tailored RKKY in- teraction in two-dimensionald-wave altermagnets, Phys. Rev. B111, 224412 (2025)

    2025

  48. [48]

    Yarmohammadi, M

    M. Yarmohammadi, M. Berritta, M. Bukov, L. Šme- jkal, J. Linder, and P. M. Oppeneer, Spin polarization engineering ind-wave altermagnets, Phys. Rev. B113, L060403 (2026)

    2026

  49. [49]

    X. Zou, H. S. Shin, B. Huang, Y. Zang, Y. Dai, C. Niu, C.-J. Kang, and C. W. Myung, Floquet- engineered odd-parity altermagnetic higher-order topol- ogy in a two-dimensional antiferromagnet Cr 2CH2, (2026), arXiv:2605.19184

    Pith/arXiv arXiv 2026

  50. [50]

    Yarmohammadi, P

    M. Yarmohammadi, P. M. Gunnink, J. Sinova, and J. K. Freericks, Floquet-induced anisotropic magnetore- sistance and anomalous Hall effect in 2Dd-wave al- termagnets with Rashba spin-orbit coupling, (2026), arXiv:2606.21281

    Pith/arXiv arXiv 2026

  51. [51]

    Yarmohammadi, D

    M. Yarmohammadi, D. Jo, M. Berritta, L. Šmejkal, J. K. Freericks, and P. M. Oppeneer, Giant perpendicu- larEdelsteinpolarizationin2Dcompensatedmagnetsvia bichromatic Floquet driving, (2026), arXiv:2606.31867

    Pith/arXiv arXiv 2026

  52. [52]

    Yarmohammadi, P.-H

    M. Yarmohammadi, P.-H. Fu, and J. K. Freericks, Effi- cient two-color floquet control of the RKKY interaction in altermagnets, (2026), arXiv:2602.20862

    arXiv 2026

  53. [53]

    Yu, Tunable odd-parity spin splittings in altermag- nets, (2026), arXiv:2605.03026

    Y. Yu, Tunable odd-parity spin splittings in altermag- nets, (2026), arXiv:2605.03026

    Pith/arXiv arXiv 2026

  54. [54]

    Li, D.-F

    B. Li, D.-F. Shao, and A. A. Kovalev, Floquet spin split- ting and spin generation in antiferromagnets, Phys. Rev. Lett.136, 166701 (2026)

    2026

  55. [55]

    Liu, Z.-Y

    D. Liu, Z.-Y. Zhuang, D. Zhu, Z. Wu, and Z. Yan, Light- induced odd-parity altermagnets on dimerized lattices, Phys. Rev. B113, L060409 (2026)

    2026

  56. [56]

    D.Liu, Z.-Y.Zhuang, D.Zhu, Z.Wu,andZ.Yan,Nonrel- ativistic spin-orbit-coupling effects in odd-parity copla- 7 nar magnets, (2026), arXiv:2606.23806

    Pith/arXiv arXiv 2026

  57. [57]

    D. Zhu, D. Liu, Z.-Y. Zhuang, Z. Wu, and Z. Yan, Light- induced even-parity unidirectional spin splitting in copla- nar antiferromagnets, (2026), arXiv:2601.03358

    arXiv 2026

  58. [58]

    Yarmohammadi, Chirped floquet linear drives acti- vate forbidden charge-to-spin conversions in Rashba two- dimensional electron gases, (2026), arXiv:2607.04946

    M. Yarmohammadi, Chirped floquet linear drives acti- vate forbidden charge-to-spin conversions in Rashba two- dimensional electron gases, (2026), arXiv:2607.04946

    Pith/arXiv arXiv 2026

  59. [59]

    See Supplemental Material at [URL will be inserted by publisher] for the detailed derivation of the effective Hamiltonianforthebichromaticallydrivencoplanaranti- ferromagnet, including high-temperature expansion and a comparative analysis of the fundamental and higher- order harmonic driving regimes

  60. [60]

    Hejazi, Z.-X

    K. Hejazi, Z.-X. Luo, and L. Balents, Noncollinear phases in moiré magnets, Proceedings of the National Academy of Sciences117, 10721 (2020)

    2020

  61. [61]

    A. J. Healey, C. Tan, B. Gross, S. C. Scholten, K. Xing, D. G. Chica, B. C. Johnson, M. Poggio, M. E. Ziebel, X. Roy, J.-P. Tetienne, and D. A. Broadway, Imaging magnetic switching in orthogonally twisted stacks of a van der Waals antiferromagnet, ACS Nano19, 42140 (2025)

    2025

  62. [62]

    Y. Liu, J. Yu, and C.-C. Liu, Twisted magnetic van der Waals bilayers: An ideal platform for altermagnetism, Phys. Rev. Lett.133, 206702 (2024)

    2024

  63. [63]

    Bai, R.-W

    L. Bai, R.-W. Zhang, W. Feng, and Y. Yao, Anomalous Hall effect in type IV 2D collinear magnets, Phys. Rev. Lett.135, 036702 (2025)

    2025

  64. [64]

    Gibert, M

    M. Gibert, M. Viret, A. Torres-Pardo, C. Piamon- teze, P. Zubko, N. Jaouen, J.-M. Tonnerre, A. Mougin, J. Fowlie, S. Catalano, A. Gloter, O. Stéphan, and J.- M. Triscone, Interfacial control of magnetic properties at LaMnO3/LaNiO3 interfaces, Nano Letters15, 7355 (2015)

    2015

  65. [65]

    G. W. Mudd, S. A. Svatek, T. Ren, A. Patanè, O. Makarovsky, L. Eaves, P. H. Beton, Z. D. Kovalyuk, G. V. Lashkarev, Z. R. Kudrynskyi, and A. I. Dmitriev, Tuning the bandgap of exfoliated InSe nanosheets by quantum confinement, Advanced Materials25, 5714 (2013)

    2013

  66. [66]

    J. A. Sobota, S. Yang, J. G. Analytis, Y. L. Chen, I. R. Fisher, P. S. Kirchmann, and Z.-X. Shen, Ultrafast opti- cal excitation of a persistent surface-state population in the topological insulator Bi2Se3, Phys. Rev. Lett.108, 117403 (2012)

    2012

  67. [67]

    J. A. Sobota, Y. He, and Z.-X. Shen, Angle-resolved photoemission studies of quantum materials, Rev. Mod. Phys.93, 025006 (2021)

    2021

  68. [68]

    D. N. Basov, R. D. Averitt, and D. Hsieh, Towards prop- ertiesondemandinquantummaterials,NatureMaterials 16, 1077 (2017)

    2017

  69. [69]

    Hajlaoui, E

    M. Hajlaoui, E. Papalazarou, J. Mauchain, L. Per- fetti, A. Taleb-Ibrahimi, F. Navarin, M. Mon- teverde, P. Auban-Senzier, C. R. Pasquier, N. Moisan, D. Boschetto, M. Neupane, M. Z. Hasan, T. Durakiewicz, Z. Jiang, Y. Xu, I. Miotkowski, Y. P. Chen, S. Jia, H. W. Ji, R.J.Cava,andM.Marsi,TuningaSchottkybarrierin a photoexcited topological insulator with tra...

    2014

  70. [70]

    Kitagawa, T

    T. Kitagawa, T. Oka, A. Brataas, L. Fu, and E. Demler, Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall in- sulators without Landau levels, Phys. Rev. B84, 235108 (2011)

    2011

  71. [71]

    Goldman and J

    N. Goldman and J. Dalibard, Periodically driven quan- tum systems: Effective Hamiltonians and engineered gauge fields, Phys. Rev. X4, 031027 (2014)

    2014

  72. [72]

    Eckardt and E

    A. Eckardt and E. Anisimovas, High-frequency approx- imation for periodically driven quantum systems from a Floquet-space perspective, New journal of physics17, 093039 (2015)

    2015

  73. [73]

    Hayami, Y

    S. Hayami, Y. Yanagi, and H. Kusunose, Bottom-up de- sign of spin-split and reshaped electronic band structures in antiferromagnets without spin-orbit coupling: Proce- dure on the basis of augmented multipoles, Phys. Rev. B 102, 144441 (2020)

    2020

  74. [74]

    Hayami, Y

    S. Hayami, Y. Yanagi, and H. Kusunose, Spontaneous antisymmetric spin splitting in noncollinear antiferro- magnets without spin-orbit coupling, Phys. Rev. B101, 220403 (2020)

    2020

  75. [75]

    Dehghani, T

    H. Dehghani, T. Oka, and A. Mitra, Out-of-equilibrium electrons and the Hall conductance of a Floquet topolog- ical insulator, Phys. Rev. B91, 155422 (2015)

    2015

  76. [76]

    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, and M. Z. Hasan, Observation of uncon- ventionalquantumspintexturesintopologicalinsulators, Science323, 919 (2009)

    2009

  77. [77]

    Iwasawa, T

    H. Iwasawa, T. Ueno, T. Iwata, K. Kuroda, K. A. Kokh, O. E. Tereshchenko, K. Miyamoto, A. Kimura, and T. Okuda, Efficiency improvement of spin-resolved ARPES experiments using Gaussian process regression, Scientific Reports14, 20970 (2024)

    2024

  78. [78]

    Sentef, M

    M. Sentef, M. Claassen, A. Kemper, B. Moritz, T. Oka, J. Freericks, and T. Devereaux, Theory of Floquet band formation and local pseudospin textures in pump-probe photoemission of graphene, Nature Communications6, 7047 (2015)

    2015

  79. [79]

    J. K. Freericks, H. R. Krishnamurthy, and T. Pruschke, Theoretical description of time-resolved photoemission spectroscopy: Application to pump-probe experiments, Phys. Rev. Lett.102, 136401 (2009)

    2009

  80. [80]

    Parity-selective spin splitting in coplanar antiferromagnets via bichromatic driving

    A. Farrell, A. Arsenault, and T. Pereg-Barnea, Dirac cones, Floquet side bands, and theory of time-resolved angle-resolved photoemission, Phys. Rev. B94, 155304 (2016). 8 Supplemental Materials for “Parity-selective spin splitting in coplanar antiferromagnets via bichromatic driving” Di Zhu,1 Zhongbo Yan,1 and Mohsen Yarmohammadi2 1Guangdong Provincial Ke...

    2016