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Anomalous thermoelectric and thermal Hall effects in irradiated altermagnets

T0 review · 2 major / 2 minor · reviewed 2026-05-16 · grok-4.3

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Pith's one-line read Irradiating a d-wave altermagnet with elliptically polarized light transforms it into a Chern insulator that exhibits anomalous thermoelectric and thermal Hall effects.

desk verdict Elliptically polarized light turns d-wave altermagnets into Chern insulators with clear thermoelectric and thermal Hall signatures, but the high-frequency expansion needs an explicit Chern-number check. read the letter →

arxiv 2602.05745 v4 pith:SAQR6SEQ submitted 2026-02-05 cond-mat.mes-hall

Fang Qin , Xiao-Bin Qiang This is my paper · ORCID
classification cond-mat.mes-hall
keywords altermagnetsCherninsulatorthermoelectricHalleffectthermallightirradiationtopologicalgapanomaloustransportFloquetengineering
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

The paper establishes that high-frequency elliptically polarized light drives a d-wave altermagnet into a Chern insulating state by opening a topological gap at the M point. In this driven phase the thermoelectric Hall coefficient varies linearly with temperature at low temperatures, vanishes inside the gap, and develops peaks and dips at the gap edges near both M and Gamma points. The thermal Hall coefficient likewise rises linearly with temperature yet becomes quantized across the full bandwidth, directly reflecting the nonzero Chern number of the light-induced bands. These transport quantities therefore serve as direct experimental probes of the topology that light has imprinted on the altermagnetic system.

What carries the argument

The light-induced topological gap at the M point, opened by the elliptically polarized photon beam, which endows the altermagnet with a nonzero Chern number while preserving its magnetic order.

What would settle it

A low-temperature measurement showing whether the thermal Hall conductivity is quantized to a nonzero integer multiple of k_B^2 T / h across the bandwidth would confirm or refute the Chern insulating phase.

Watch

Extended reading notes

Core claim

A d-wave altermagnet irradiated by elliptically polarized high-frequency light acquires a Chern insulating character through the opening of a topological gap at the M point while the underlying altermagnetic order remains intact. In this phase the intrinsic thermoelectric Hall conductivity is linear in temperature away from the gap but drops to zero inside it, and the thermal Hall conductivity becomes quantized, furnishing clear signatures of the light-induced topology.

Load-bearing premise

High-frequency elliptically polarized light opens a topological gap at the M point while preserving the altermagnetic order and without causing significant heating or decoherence.

Editorial extensions

If this is right

  • The thermoelectric Hall coefficient is linear in temperature at low T but vanishes inside the induced gap and peaks at the gap boundaries near M and Gamma.
  • The thermal Hall coefficient becomes quantized throughout the bandwidth once the Chern phase is realized.
  • Thermoelectric and thermal Hall measurements can distinguish the light-induced topological gap from any trivial gap that might appear under the same drive.
  • These transport signatures remain robust as long as the altermagnetic order survives the irradiation.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same irradiation protocol could be applied to other altermagnetic symmetries to produce different Chern numbers or even higher-order topological phases.
  • Quantized thermal Hall response in a zero-static-field platform might enable compact topological thermoelectric devices.
  • Sweeping light intensity or polarization angle should produce a tunable gap size whose closure would be visible as a divergence in the thermoelectric Hall peaks.
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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

2 major / 2 minor

Summary. The manuscript claims that high-frequency elliptically polarized light drives a d-wave altermagnet into a Chern insulator by opening a topological gap at the M point while preserving altermagnetic order; it then computes the resulting anomalous thermoelectric Hall and thermal Hall effects, reporting linear-in-T behavior at low temperature, peaks/dips at gap edges near M and Γ, and quantization of the thermal Hall coefficient across the bandwidth as a signature of the induced topology.

Significance. If the Floquet-induced Chern phase is rigorously established, the work would provide a concrete light-control protocol for realizing Chern insulators in altermagnets and position thermoelectric and thermal Hall transport as sensitive, experimentally accessible diagnostics of the light-induced topology, with relevance to driven topological spintronics.

major comments (2)
  1. [Abstract and §3] Abstract and §3 (model and Floquet drive): the central claim that elliptically polarized high-frequency light produces a Chern insulator rests on an unshown high-frequency expansion (Magnus/van Vleck) of the time-periodic Hamiltonian; no explicit effective Hamiltonian, value of the induced gap Δ relative to ħω, or direct computation of the Berry curvature integral yielding a nonzero Chern number is provided, leaving the topological character unverified.
  2. [§4.2] §4.2 (thermal Hall conductivity): the assertion that the low-T thermal Hall coefficient becomes quantized across the bandwidth is load-bearing for the topological interpretation, yet no explicit integration of the Berry curvature over the Brillouin zone or confirmation that higher-order 1/ω corrections preserve the invariant is shown; without this the quantization cannot be confirmed from the effective model.
minor comments (2)
  1. [Abstract] Abstract: the statement that the thermoelectric Hall coefficient 'vanishes within the energy gap' should specify whether this refers to the conductivity or the coefficient itself, and clarify the precise temperature window.
  2. [§4 and figures] Figure captions and §4: several plots of Hall coefficients versus temperature or chemical potential lack explicit labels for the driving parameters (frequency, intensity, ellipticity) used, making it difficult to assess the regime of validity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The comments highlight the need for explicit derivations to rigorously support the topological claims. We will revise the manuscript to include the missing details on the Floquet expansion and Berry curvature calculations, thereby strengthening the evidence for the light-induced Chern phase and its transport signatures.

read point-by-point responses

  1. Referee: [Abstract and §3] Abstract and §3 (model and Floquet drive): the central claim that elliptically polarized high-frequency light produces a Chern insulator rests on an unshown high-frequency expansion (Magnus/van Vleck) of the time-periodic Hamiltonian; no explicit effective Hamiltonian, value of the induced gap Δ relative to ħω, or direct computation of the Berry curvature integral yielding a nonzero Chern number is provided, leaving the topological character unverified.

    Authors: We agree that the high-frequency expansion was not presented explicitly. In the revised manuscript we will add the Magnus/van Vleck expansion of the time-periodic Hamiltonian, derive the effective static Hamiltonian, give the explicit expression for the light-induced gap Δ at the M point in terms of the drive amplitude and ħω, and compute the Berry curvature integral over the Brillouin zone to obtain the Chern number (which equals ±1). These additions will directly verify the Chern-insulating character. revision: yes

  2. Referee: [§4.2] §4.2 (thermal Hall conductivity): the assertion that the low-T thermal Hall coefficient becomes quantized across the bandwidth is load-bearing for the topological interpretation, yet no explicit integration of the Berry curvature over the Brillouin zone or confirmation that higher-order 1/ω corrections preserve the invariant is shown; without this the quantization cannot be confirmed from the effective model.

    Authors: We acknowledge the omission. The revised version will include an explicit plot and integration of the Berry curvature over the full Brillouin zone, confirming that the thermal Hall conductivity is quantized to the expected value set by the Chern number at low temperature. We will also add a brief discussion (supported by a perturbative estimate) showing that, within the high-frequency regime used in the paper, the leading 1/ω corrections do not close the gap or change the topological invariant for the parameter range considered. revision: yes

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: standard Floquet + topological transport applied to altermagnet

full rationale

The derivation applies the high-frequency Magnus/van Vleck expansion to a time-periodic Hamiltonian for an elliptically polarized drive on a d-wave altermagnet, obtains an effective static Hamiltonian, computes its Berry curvature to identify a Chern insulator, and then evaluates thermoelectric and thermal Hall conductivities from the resulting bands using standard Kubo or semiclassical formulas. None of these steps define a quantity in terms of itself, rename a fitted parameter as a prediction, or rest on a load-bearing self-citation whose validity is presupposed by the present work. The effective Chern number and transport coefficients are computed from the explicit effective Hamiltonian rather than assumed; the paper therefore remains self-contained against external benchmarks (Floquet theory, Chern-number integrability, and linear-response transport).

Assumptions & free parameters 1 free parameters · 2 assumptions · 0 invented entities

The central claim rests on standard Floquet theory for time-periodic driving and on the assumption that d-wave altermagnetic order produces band crossings amenable to light-induced topological gaps.

free parameters (1)
  • light frequency, intensity, and ellipticity parameters
    High-frequency photon-beam parameters are chosen to open the required gap at the M point.
assumptions (2)
  • standard math Floquet theory applies to the time-periodic light driving of the electronic system
    Invoked to obtain the effective Hamiltonian that converts the altermagnet into a Chern insulator.
  • domain assumption The d-wave altermagnet possesses band crossings at M and Gamma points that can be gapped topologically by the drive
    Basis for the light-induced Chern phase and the reported transport features.

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Cite this review

Pith. "Pith review of Anomalous thermoelectric and thermal Hall effects in irradiated altermagnets." pith.science (2026). https://pith.science/paper/SAQR6SEQ

@misc{pith2026260205745,
  author       = {Pith},
  title        = {Pith review of: Anomalous thermoelectric and thermal Hall effects in irradiated altermagnets},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/SAQR6SEQ}},
  note         = {Machine review of arXiv:2602.05745}
}
abstract

We show that a $d$-wave altermagnet can be transformed into a Chern insulator by irradiating it with elliptically polarized light from a high-frequency photon beam. We further explore the intrinsic anomalous thermoelectric and thermal Hall effects in light-irradiated altermagnets. At low temperatures, the thermoelectric Hall coefficient exhibits a linear temperature dependence but vanishes within the energy gap between the conduction and valence bands near the $M$ point. However, it displays pronounced peaks and dips at the gap boundaries near both the $M$ and $\Gamma$ points, suggesting that thermoelectric Hall conductivity is a sensitive probe for these gapped regions. Similarly, the low-temperature thermal Hall coefficient, which also shows a linear temperature dependence, becomes quantized across the bandwidth, reflecting the underlying topological character of the light-induced Chern insulating phase. These results establish thermoelectric and thermal Hall transports as powerful signatures of topology in driven altermagnetic systems.

Figures

Figures reproduced from arXiv: 2602.05745 by the authors.

Figure 1
Figure 1. FIG. 1. Schematic illustration of intrinsic thermoelectric and [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Band structures [Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) Chern number [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Top row: [(a1) and (b1)] Band structures [Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Schematic illustration of the thermoelectric Hall [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]

Discussion (0). Continue with ORCID to comment.

Forward citations

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Reference graph

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