An algorithm to calculate the transport exponent in strip geometries

TL;DR

This paper presents an efficient transfer-matrix algorithm for calculating the transport exponent in strip geometries, improving computational speed and matrix size reduction through preconditioning techniques.

Contribution

The paper introduces a novel transfer-matrix algorithm with preconditioning for the random resistor problem in strip geometries, enhancing computational efficiency.

Findings

Reduced matrix size due to spanning cluster extraction

Faster calculations of transport properties

Improved accuracy in transport exponent estimation

Abstract

An algorithm for solving the random resistor problem by means of the transfer-matrix approach is presented. Preconditioning by spanning clusters extraction both reduces the size of the conductivity matrix and speed up the calculations.