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arxiv: 2510.08740 · v1 · submitted 2025-10-09 · ❄️ cond-mat.mes-hall

Light-induced pseudo-magnetic fields in three-dimensional topological semimetals

Arpit Raj , Swati Chaudhary , Martin Rodriguez-Vega , Maia G. Vergniory , Roni Ilan , Gregory A. Fiete This is my paper

Pith reviewed 2026-05-18 08:07 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords Weyl semimetalspseudo-magnetic fieldsFloquet engineeringaxial gauge potentialtopological semimetalslight-induced gauge fieldsLandau levelsoptical conductivity
0
0 comments X p. Extension

The pith

Spatially varying linearly polarized light generates controllable pseudo-magnetic fields in Weyl semimetals through Floquet engineering.

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

The paper establishes that a carefully chosen spatial pattern of linearly polarized light can produce pseudo-magnetic fields inside Weyl semimetals without any physical deformation of the crystal. Through a high-frequency expansion the light profile maps onto an effective axial gauge potential whose curl supplies the pseudo-magnetic field. This route supplies dynamic on-off control, full reversibility, and spatial selectivity that strain-based methods lack. The authors further work out the Landau-level spectrum and both linear and second-order optical responses that would appear under such engineered fields.

Core claim

Within a high-frequency expansion, the light profile maps to an effective axial gauge potential A5(r) whose curl produces the pseudo-magnetic field B5(r). This Floquet approach replicates the effects of strain-induced gauge fields while providing advantages such as real-time tunability and the absence of lattice deformation. The resulting Landau levels and optical conductivities furnish concrete experimental signatures.

What carries the argument

The effective axial gauge potential A5(r) obtained by mapping the spatially varying light profile onto the driven Weyl Hamiltonian in the high-frequency limit.

If this is right

  • Uniform pseudo-magnetic fields produce Landau-level spectra directly comparable to those of ordinary magnetic fields.
  • The linear optical conductivity exhibits distinct features traceable to the optically induced gauge potential.
  • Second-order dc responses supply clear experimental fingerprints of the engineered pseudo-magnetic field.
  • Real-time spatial and temporal control of the field becomes possible without lattice strain.

Where Pith is reading between the lines

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

  • The same light-patterning method could be applied to other three-dimensional topological semimetals to test the generality of the axial-gauge mapping.
  • Combining this approach with time-dependent modulation might enable studies of dynamical gauge-field effects on transport.
  • Optical control could allow rapid switching between different pseudo-magnetic textures in a single device.

Load-bearing premise

The high-frequency expansion used to derive the effective axial gauge potential from the light profile remains valid and captures the leading pseudo-magnetic field effects without significant higher-order corrections or material-specific details.

What would settle it

Spectroscopic detection of the predicted Landau-level spacing or the characteristic features in linear optical conductivity under a spatially patterned light field would confirm the claim; the absence of those signatures at the expected drive frequencies and intensities would falsify it.

Figures

Figures reproduced from arXiv: 2510.08740 by Arpit Raj, Gregory A. Fiete, Maia G. Vergniory, Martin Rodriguez-Vega, Roni Ilan, Swati Chaudhary.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Lattice model unit cell and (b) static energies [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Exact quasienergies for a model driven with circu [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Exact quasienergies for a model driven with lin [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Polar plot of Weyl-node separation [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Different spatial profiles for the vector potential [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Energy spectrum around the separated R-nodes, [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. The main panel shows the real part of the longitu [PITH_FULL_IMAGE:figures/full_fig_p007_10.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Energy spectrum along [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. The main panel shows the real part of the longitu [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13. The numerically computed conductivities for uniform magnetic field from Figs. [PITH_FULL_IMAGE:figures/full_fig_p014_13.png] view at source ↗
read the original abstract

In this work, we show that suitably designed spatially varying linearly polarized light provides a versatile route to generate and control pseudo-magnetic fields in Weyl semimetals through Floquet engineering. Within a high-frequency expansion, we derive an effective axial gauge potential $\mathbf{A}_5(\mathbf{r})$ whose curl gives the pseudo-magnetic field $\mathbf{B}_5(\mathbf{r})$. By mapping the light profile to $\mathbf{A}_5(\mathbf{r})$, we establish design principles for pseudo-magnetic field textures that mimic strain-induced gauge fields while offering key advantages like dynamic control, full reversibility, spatial selectivity, and absence of material deformation. We compare the Landau-level spectra produced by uniform real and pseudo-magnetic fields and also analyze both their linear optical conductivity and the second-order dc responses. Our results enable real-time manipulation of pseudo-magnetic fields and predict clear experimental signatures for optically engineered gauge fields in topological semimetals.

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

2 major / 2 minor

Summary. The manuscript claims that suitably designed spatially varying linearly polarized light generates controllable pseudo-magnetic fields in Weyl semimetals via Floquet engineering. Within a high-frequency expansion, an effective axial gauge potential A5(r) is derived whose curl yields B5(r). Design principles are given for field textures that mimic strain-induced gauge fields but offer dynamic control, reversibility, and no material deformation. The work compares Landau-level spectra for uniform real versus pseudo-magnetic fields and analyzes linear optical conductivity together with second-order dc responses.

Significance. If the central mapping holds, the result supplies a practical, non-destructive route to engineer and tune pseudo-magnetic fields in 3D topological semimetals, with clear advantages over static strain. The predicted optical and transport signatures furnish falsifiable experimental tests and extend Floquet methods to axial gauge fields.

major comments (2)
  1. [high-frequency expansion derivation of A5(r)] The high-frequency expansion that produces A5(r) from a spatially varying drive (described in the abstract and the derivation of the effective axial potential) does not supply explicit validity bounds that incorporate the additional spatial-gradient scale. Spatial variation introduces a length scale that can enter the Magnus or van Vleck corrections at the same order as the leading term, so the claim that curl A5 directly gives the dominant B5 requires a quantitative error estimate or comparison to the full time-periodic Hamiltonian.
  2. [comparison of Landau levels and optical responses] No direct numerical validation of the effective A5(r) against exact Floquet or time-dependent simulations is presented for any concrete light profile that possesses both temporal frequency ω and spatial gradients. Such a check is load-bearing for the central claim that the leading-order pseudo-magnetic field is experimentally accessible without higher-order corrections.
minor comments (2)
  1. [abstract and introduction] Notation for the axial vector potential is introduced without an explicit statement of the gauge choice or the relation to the underlying Weyl-node separation.
  2. [figures] Figure captions for the Landau-level spectra and conductivity plots should state the precise light-profile parameters and the value of ω used in the expansion.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. The points raised concerning the validity regime of the high-frequency expansion and the desirability of numerical checks are well taken. We address each major comment below and indicate the revisions made to strengthen the presentation.

read point-by-point responses

  1. Referee: [high-frequency expansion derivation of A5(r)] The high-frequency expansion that produces A5(r) from a spatially varying drive (described in the abstract and the derivation of the effective axial potential) does not supply explicit validity bounds that incorporate the additional spatial-gradient scale. Spatial variation introduces a length scale that can enter the Magnus or van Vleck corrections at the same order as the leading term, so the claim that curl A5 directly gives the dominant B5 requires a quantitative error estimate or comparison to the full time-periodic Hamiltonian.

    Authors: We agree that explicit validity bounds incorporating the spatial-gradient scale are required for rigor. Within the high-frequency Magnus expansion, the leading effective axial gauge potential A5(r) is obtained from the time average of the drive, while corrections appear at O(1/ω) and involve nested commutators. Spatial gradients enter these commutators through derivatives acting on the position-dependent vector potential. In the revised manuscript we add a new subsection that derives the leading error term, which is controlled by the dimensionless ratio v_F |∇| / ω. The approximation that B5 = ∇ × A5 is dominant therefore holds when the spatial variation length L satisfies v_F / L ≪ ω (or an equivalent bound set by the bandwidth). We also provide an analytic comparison of the effective model to the next-order term for a representative Gaussian beam profile, confirming that the correction remains perturbatively small under the stated condition. revision: yes

  2. Referee: [comparison of Landau levels and optical responses] No direct numerical validation of the effective A5(r) against exact Floquet or time-dependent simulations is presented for any concrete light profile that possesses both temporal frequency ω and spatial gradients. Such a check is load-bearing for the central claim that the leading-order pseudo-magnetic field is experimentally accessible without higher-order corrections.

    Authors: We acknowledge that a direct numerical benchmark against the full time-periodic Hamiltonian would be valuable. Performing exact Floquet or real-time simulations for a three-dimensional lattice with both temporal driving and spatial inhomogeneity is computationally demanding, as it requires system sizes large enough to resolve the spatial profile while maintaining periodic boundary conditions in time. In the revised manuscript we therefore supply an analytic error estimate obtained by expanding the time-evolution operator to the next order in 1/ω for a concrete, spatially varying drive (a focused Gaussian beam). This estimate shows that the leading-order pseudo-magnetic field remains the dominant contribution when the adiabaticity condition derived in the new subsection is satisfied. While a full numerical validation lies beyond the scope of the present work, the analytic bound provides a quantitative criterion for experimental accessibility of the predicted B5. revision: partial

Circularity Check

0 steps flagged

High-frequency Floquet derivation of A5(r) is independent and non-circular

full rationale

The paper applies a standard high-frequency expansion to a time-periodic Hamiltonian with spatially varying light to obtain an effective axial gauge potential A5(r), from which B5 = curl A5 follows directly. This mapping is derived from the Floquet-Magnus or van Vleck expansion rather than fitted to data or defined self-referentially. No load-bearing self-citations, ansatz smuggling, or uniqueness theorems from prior author work are invoked to force the result. The derivation chain remains self-contained against external benchmarks for the effective Hamiltonian, with no reduction of the central claim to its own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the high-frequency Floquet expansion and the assumption that the light-induced axial gauge potential directly produces observable pseudo-magnetic effects comparable to strain. No explicit free parameters or invented entities are mentioned in the abstract.

axioms (1)
  • domain assumption High-frequency expansion of the Floquet Hamiltonian yields an effective axial gauge potential A5(r) from the light profile.
    Invoked in the abstract to derive B5(r) = curl A5(r) for pseudo-magnetic fields.

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Reference graph

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    For faster numerical evaluation ofE(x|2), we used the Carl- son’s symmetric forms. Most importantly, this choice of A(y)results inB 5 ≈ − ℏ ea γ2 0 8 A1ˆ zwhich has almost no spatial dependence. 2.Balongˆ z As before, we consider the linearly polarized light de- scribed by Eq. (20) but withA(y) =A 0. This implies thatB 5 = 0and instead we consider a unifo...

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