Tunneling edges at strong disorder

TL;DR

This paper investigates how strong disorder affects edge state scattering and localization, revealing a mobility edge and characterizing the extended phase in disordered 1D domain boundaries.

Contribution

It introduces the concept of a mobility edge in strongly disordered edge states and analyzes the exponential scaling of localization length with barrier width.

Findings

Identification of a mobility edge as a function of disorder and energy

Localization length scales exponentially with barrier width

Implications for the random-flux problem

Abstract

Scattering between edge states that bound one-dimensional domains of opposite potential or flux is studied, in the presence of strong potential or flux disorder. A mobility edge is found as a function of disorder and energy, and we have characterized the extended phase. "paper_FINAL.tex" 439 lines, 20366 characters In the presence of flux and/or potential disorder, the localization length scales exponentially with the width of the barrier. We discuss implications for the random-flux problem.