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Electric Space-time Translation and Floquet-Bloch Wavefunction

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arxiv 2409.15851 v2 pith:6FMGROD7 submitted 2024-09-24 cond-mat.mes-hall cond-mat.str-el

classification cond-mat.mes-hallcond-mat.str-el
keywords electrictranslationfloquet-blochwavefunctionsinvestigatedmagneticstatessymmetry
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As for the study of Landau level wavefunctions for the quantum Hall effect, the magnetic Bloch wavefunctions based on the magnetic translation symmetry have been extensively investigated in the past few decades. In this article, the electric Floquet-Bloch wavefunctions based on the electric translation symmetry are studied as well as the momentum-frequency Brillouin zone, which is applied to the problem of one dimensional tight-binding model under an external electric field. The spectrum of electric Floquet-Bloch states can be generated by the projective representation of electric translation group, and the topological properties of these states are investigated.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spin precession and laser-induced spin-polarized photocurrents

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    In a Kane-Mele topological insulator driven by circularly polarized light, Rashba spin-orbit coupling induces spin precession in a Floquet sideband, producing switchable one-way spin-polarized photocurrents.

  2. Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators

    hep-th 2025-07 conditional novelty 4.0 of 10

    Gauge-invariant magnetic translation operators, built from a gauge-covariant pseudo-momentum P, reproduce Curtright-Zachos generators through a rotation-dilatation duality.

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