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Topological chiral modes in random scattering networks

by Pierre A. L. Delplace

Submission summary

As Contributors: Pierre Delplace
Preprint link: scipost_201905_00006v1
Date submitted: 2019-05-27
Submitted by: Delplace, Pierre
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

Using graph theory, we show the existence of interface chiral modes in random oriented scattering networks and discuss their topological nature. For particular regular networks (e.g. L-lattice, Kagome and triangular networks), an explicit mapping with time-periodically driven (Floquet) tight-binding models is found. In that case, the interface chiral modes are identified as the celebrated anomalous edge states of Floquet topological insulators and their existence is enforced by a symmetry imposed by the associated network.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201905_00006v1 on 27 May 2019

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