Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems

TL;DR

This paper demonstrates that the stochastic series expansion quantum Monte Carlo method can accurately compute the magnetic conductance in one-dimensional quantum spin systems, including effects of impurities and leads, without additional approximations.

Contribution

It introduces a method to calculate conductance in 1D quantum spin systems using SSE quantum Monte Carlo, capturing impurity effects and lead influences.

Findings

Recovered Kane-Fisher scaling for impurity in Luttinger-liquid

Studied influence of non-interacting leads on conductance

Validated SSE method for low-temperature quantum conductance calculations

Abstract

Recently, the stochastic series expansion (SSE) has been proposed as a powerful MC-method, which allows simulations at low $T$ for quantum-spin systems. We show that the SSE allows to compute the magnetic conductance for various one-dimensional spin systems without further approximations. We consider various modifications of the anisotropic Heisenberg chain. We recover the Kane-Fisher scaling for one impurity in a Luttinger-liquid and study the influence of non-interacting leads for the conductance of an interacting system.