Spin Conductance in one-dimensional Spin-Phonon systems

TL;DR

This paper investigates how phonons influence spin conductance in one-dimensional spin-1/2 models, using Quantum Monte Carlo simulations to derive scaling laws across different phonon dispersions and coupling strengths.

Contribution

It introduces a novel application of the Stochastic Series Expansion method to analyze spin-phonon coupled systems and derives new scaling laws for conductance.

Findings

Conductance depends on phonon dispersion and coupling strength.

Scaling laws for conductance are established through simulations and analytical methods.

Results provide insights into spin transport in low-dimensional quantum systems.

Abstract

We present results for the spin conductance of the one dimensional spin-1/2 Heisenberg and XY model coupled to phonons. We apply an approach based on the Stochastic Series Expansion (Quantum Monte Carlo) method to evaluate the conductance for a variety of phonon dispersions and values of spin-phonon coupling. From our numerical simulations and analytical arguments, we derive several scaling laws for the conductance.