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Transport signatures of symmetry protection in 1D Floquet topological insulators

Journal article
Authors Oleksandr Balabanov
Henrik Johannesson
Published in Journal of Physics-Condensed Matter
Volume 32
Issue 1
Pages 15
ISSN 0953-8984
Publication year 2020
Published at Department of Physics (GU)
Pages 15
Language en
Links dx.doi.org/10.1088/1361-648X/ab4319
Keywords topological insulators, symmetry-protected transport, quantum Floquet, matter, states, solitons, phase, Physics
Subject categories Physical Sciences

Abstract

Time-periodic external drives have emerged as a powerful tool to artificially create topological phases of matter. Prime examples are Floquet topological insulators (FTIs), where a gapped bulk supports in-gap edge states, protected against symmetry-preserving local perturbations. Similar to an ordinary static topological insulator, the robustness of an edge state in a one-dimensional (1D) FTI shows up as a pinning of its quasienergy level, but now inside one of two distinct bulk gaps. Here we propose a scheme for probing this unique feature by observing transport characteristics of a 1D finite-sized FTI attached to external leads. We present predictions for transmission spectra using a nonequilibrium Green's function approach. Our analysis covers FTIs with time-independent and periodically driven boundary perturbations which either preserve or break the protecting chiral symmetry.

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