Quantum transfer matrix method for one-dimensional disordered electronic systems

TL;DR

This paper introduces a new quantum transfer matrix approach to analyze thermodynamic properties of 1D disordered electronic systems, exemplified by the Anderson model, enabling efficient computation of partition functions.

Contribution

The paper presents a novel quantum transfer matrix method that simplifies the calculation of thermodynamic properties in 1D disordered electronic systems.

Findings

Partition function expressed as product of 2x2 transfer matrices

Application to 1D Anderson model successfully demonstrated

Thermodynamic quantities computed and analyzed

Abstract

We develop a novel quantum transfer matrix method to study thermodynamic properties of one-dimensional (1D) disordered electronic systems. It is shown that the partition function can be expressed as a product of $2\times2$ local transfer matrices. We demonstrate this method by applying it to the 1D disordered Anderson model. Thermodynamic quantities of this model are calculated and discussed.