English

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

Strongly Correlated Electrons 2023-08-30 v3 Statistical Mechanics Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2301.13840,
  title  = {Finite temperature spin diffusion in the Hubbard model in the strong coupling limit},
  author = {Oleksandr Gamayun and Arthur Hutsalyuk and Balázs Pozsgay and Mikhail B. Zvonarev},
  journal= {arXiv preprint arXiv:2301.13840},
  year   = {2023}
}

Comments

30 pages, 1 figure

R2 v1 2026-06-28T08:28:21.113Z