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arXiv · 2307.13540

Scattering theory of topologically protected edge transport

Binglu Chen·Guillaume Bal
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Abstract

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a limiting absorption principle and construct a generalized eigenfunction expansion for perturbed systems. We then relate a physical observable quantifying the transport asymmetry to the scattering matrix associated to the generalized eigenfunctions. In particular, we show that the observable is concretely expressed as a difference of transmission coefficients and is stable against perturbations. We apply the theory to systems of perturbed Dirac equations with asymptotically linear domain wall.

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Binglu Chen, Guillaume Bal. 2023-07-25. Scattering theory of topologically protected edge transport. https://doi.org/10.2140/paa.2025.7.701

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