Finite temperature spin diffusion in the Hubbard model in the strong coupling limit

TL;DR

This paper studies how spins diffuse at finite temperature in a one-dimensional Hubbard model with strong repulsion, deriving the diffusion constant and confirming diffusive behavior through analytical methods.

Contribution

It provides an analytical derivation of the spin diffusion constant in the strongly coupled Hubbard model at finite temperature, confirming diffusive transport.

Findings

Transport is diffusive in the absence of bias.

Derived the spin diffusion constant analytically.

Results agree with Generalized Hydrodynamics.

Abstract

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of bias the transport is diffusive, and derive the spin diffusion constant. Our approach is based on asymptotic analysis of a Fredholm determinant representation. The obtained results are in agreement with Generalized Hydrodynamics approach.