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Simulating Floquet topological phases in static systems

by Selma Franca, Fabian Hassler, Ion Cosma Fulga

Submission summary

As Contributors: Ion Cosma Fulga
Arxiv Link: https://arxiv.org/abs/2001.08217v2 (pdf)
Date submitted: 2020-08-03 11:55
Submitted by: Fulga, Ion Cosma
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner states which are weakly probed by external waves in a scattering setup. We find that the unitary reflection matrix describing back-scattering from the boundary of the HOTI is topologically equivalent to a (D-1)-dimensional nontrivial Floquet operator. To characterize the topology of the reflection matrix, we introduce the concept of `nested' scattering matrices. Our results provide a route to engineer topological Floquet systems in the lab without the need for external driving. As benefit, the topological system does not suffer from decoherence and heating.

Current status:
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Submission 2001.08217v2 on 3 August 2020

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