Study of off-diagonal disorder using the typical medium dynamical cluster approximation

TL;DR

This paper extends the typical medium dynamical cluster approximation to systems with off-diagonal disorder, enabling systematic analysis of non-local effects on localization phenomena with efficient and accurate results.

Contribution

The authors develop an extended formalism for TMDCA and BEB methods to handle off-diagonal disorder, improving analysis of localization in disordered systems.

Findings

Good agreement with exact diagonalization results

Fast convergence with modest cluster sizes

Insights into off-diagonal disorder effects on mobility edges

Abstract

We generalize the typical medium dynamical cluster approximation (TMDCA) and the local Blackman, Esterling, and Berk (BEB) method for systems with off-diagonal disorder. Using our extended formalism we perform a systematic study of the effects of non-local disorder-induced correlations and of off-diagonal disorder on the density of states and the mobility edge of the Anderson localized states. We apply our method to the three-dimensional Anderson model with configuration dependent hopping and find fast convergence with modest cluster sizes. Our results are in good agreement with the data obtained using exact diagonalization, and the transfer matrix and kernel polynomial methods.