Multiple re-entrant topological windows induced by generalized Bernoulli disorder

TL;DR

This paper studies how generalized Bernoulli disorder affects re-entrant topological phases in a 1D Su-Schrieffer-Heeger model, revealing systematic control over topological windows and proposing dynamical detection methods.

Contribution

It analytically and numerically demonstrates the influence of Bernoulli disorder on topological phase re-entrance and introduces a dynamical probe for these transitions.

Findings

Disorder distribution parameters control the number and size of topological windows.

Phase boundaries match analytical inverse localization length calculations.

Mean chiral displacement effectively detects topological transitions.

Abstract

We investigate re-entrant topological behavior in a one-dimensional Su-Schrieffer-Heeger model with generalized Bernoulli-type disorder in the intradimer hopping amplitudes. We show that varying the values and probabilities of the disorder distribution systematically changes the number and widths of disconnected topological windows. The phase boundaries are obtained analytically from the inverse localization length of zero modes and agree with numerical calculations. We further show that the mean chiral displacement provides a useful dynamical probe of the disorder-induced topological transitions, and we outline a possible implementation in photonic waveguide lattices. These results clarify how the structure of a multivalued disorder distribution influences re-entrant topological behavior in one-dimensional chiral lattices.