Effective Floquet Hamiltonian in the low-frequency regime
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PhysRevB.101.024303.pdf
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947.13 KB
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Author(s)
Vogl, Michael
Rodriguez-Vega, Martin
Fiete, Gregory
Date Issued
January 2020
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
Vogl, Michael, Martin Rodriguez-Vega, and Gregory A. Flete. "Effective Floquet Hamiltonian in the low-frequency regime." Physical Review B, 101, 2 (January 2020): 024303. © 2020 American Physical Society
Version
Final published version
Abstract
We develop a theory to derive effective Floquet Hamiltonians in the weak-drive and low-frequency regime. We construct the theory in analogy with band theory for electrons in a spatially periodic and weak potential, such as occurs in some crystalline materials. As a prototypical example, we apply this theory to graphene driven by circularly polarized light of low intensity. We find an analytic expression for the effective Floquet Hamiltonian in the low-frequency regime which accurately predicts the quasienergy spectrum and the Floquet states. Furthermore, we identify self-consistency as the crucial feature effective Hamiltonians in this regime need to satisfy to achieve high accuracy. The method is useful in providing a realistic description of off-resonant drives for multiband solid-state systems where light-induced topological band structure changes are sought.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.101.024303
