Products of Random Matrices for Disordered Systems

TL;DR

This paper introduces a numerical method using products of random transfer matrices to evaluate extensive quantities in disordered systems, avoiding numerical differentiation and applicable across various disorder distributions and temperatures.

Contribution

The paper presents a novel approach employing products of random transfer matrices for efficient numerical analysis of disordered systems.

Findings

Method effectively computes entropy and overlap distributions.

Applicable to arbitrary disorder distributions and temperature ranges.

Avoids numerical differentiation, enhancing accuracy and efficiency.

Abstract

Products of random transfer matrices are applied to low dimensional disordered systems to evaluate numerically extensive quantities such as entropy and overlap probability distribution. The main advantage is the possibility to avoid numerical differentiation. The method works for arbitrary disorder distributions at any temperature.