Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems

TL;DR

This paper introduces 'Anderson-Skin dualism', a boundary-dependent localization effect in non-Hermitian disordered systems, revealing how topological channels cause localized modes to transform into skin modes under different boundary conditions.

Contribution

It uncovers a novel boundary-dependent localization phenomenon in non-Hermitian systems, supported by analytical proof and universality in many-body interactions.

Findings

Identification of Anderson-Skin dualism in non-Hermitian systems

Analytical proof of 1D AS dualism via transfer matrix method

Confirmation of AS dualism's universality in many-body systems

Abstract

We report a novel localization phenomenon that emerges in non-Hermitian and quasiperiodic coupled systems, which we dub ``Anderson-Skin (AS) dualism". The emergence of AS dualism is due to the fact that non-Hermitian topological systems provide non-trivial topological transport channels for disordered systems, causing the originally localized Anderson modes to transform into skin modes, i.e., the localized states within the point gap regions have dual characteristics of localization under periodic boundary condition (PBC) and skin effects under open boundary conditions (OBC). As an example, we analytically prove the 1D AS dualism through the transfer matrix method. Moreover, by discussing many-body interacting systems, we confirm that AS dualism is universal.