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

Author:

Gamayun Oleksandr12,Hutsalyuk Arthur3,Pozsgay Balázs3,Zvonarev Mikhail4

Affiliation:

1. London Institute for Mathematical Sciences

2. University of Warsaw

3. Eötvös Loránd University

4. University of Paris-Saclay

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 a magnetic field 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.

Funder

Narodowa Agencja Wymiany Akademickiej

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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