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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Floquet engineering of edge states in the presence of staggered potential and interactions
(Submitted on 10 Dec 2020 (v1), last revised 10 Feb 2021 (this version, v2))
Abstract: We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that periodic driving can generate states localized completely or partially near the ends of a finite-sized system. Depending on the system parameters, such states have Floquet eigenvalues lying either outside or inside the continuum of eigenvalues of the bulk states; only in the former case we find that these states are completely localized at the ends and are true edge states. We then consider a system of two bosonic particles which have an on-site Hubbard interaction and show that a periodically driven electric field can generate two-particle states which are localized at the ends of the system. We show that many of these effects can be understood using a Floquet perturbation theory which is valid in the limit of large staggered potential or large interaction strength. Some of these effects can also be understood qualitatively by considering time-independent Hamiltonians which have a potential at the sites at the edges; Hamiltonians of these kind effectively appear in a Floquet-Magnus analysis of the driven problem. Finally, we discuss how the edge states produced by periodic driving of a non-interacting system of fermions can be detected by measuring the differential conductance of the system.
Submission history
From: Diptiman Sen [view email][v1] Thu, 10 Dec 2020 10:27:29 GMT (487kb,D)
[v2] Wed, 10 Feb 2021 11:44:32 GMT (585kb,D)
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