Parametrization of the transfer matrix: for one-dimensional Anderson model with diagonal disorder

TL;DR

This paper introduces a new parametrization method for calculating the localization length in the 1D Anderson model with diagonal disorder, overcoming divergence issues and reducing computation time.

Contribution

A novel parametrization approach that improves efficiency and stability in localization length calculations for the 1D Anderson model.

Findings

Method avoids divergence problems in traditional calculations.

Significantly reduces computational time.

Provides more stable and accurate localization length estimates.

Abstract

In this paper, we developed a new parametrization method to calculate the localization length in one-dimensional Anderson model with diagonal disorder. This method can avoid the divergence difficulty encountered in the conventional methods, and significantly save computing time as well.