Diffusive transport in spin-1 chains at high temperatures

TL;DR

This paper investigates the spin and thermal transport properties of spin-1 Heisenberg chains at high temperatures, revealing diffusive behavior through numerical methods that analyze larger system sizes.

Contribution

It introduces the use of the microcanonical Lanczos method for finite size scaling in studying transport in spin-1 chains, highlighting diffusive rather than ballistic transport.

Findings

Evidence of diffusive transport behavior at high temperatures.

Finite size scaling enabled by advanced numerical methods.

Comparison with recent experimental and theoretical results.

Abstract

We present a numerical study on the spin and thermal conductivities of the spin-1 Heisenberg chain in the high temperature limit, in particular of the Drude weight contribution and frequency dependence. We use the Exact Diagonalization and the recently developed microcanonical Lanczos method; it allows us a finite size scaling analysis by the study of significantly larger lattices. This work, pointing to a diffusive rather than ballistic behavior is discussed with respect to other recent theoretical and experimental studies.