# 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.

## Key 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.