O. Gamayun

A. Hutsalyuk

B. Pozsgay

M. B. Zvonarev

The spin-spin correlation function of the Hubbard model reveals that finite temperature spin transport in one spatial dimension is diffusive.

Finite temperature spin transport for a 1D system of electrons can be investigated using the spin-spin correlation function of the Hubbard model. In the infinitely strong repulsion limit, we find the transport is diffusive and calculate the diffusion constant. Our approach is based on the asymptotic analysis of Fredholm determinants. This is the first explicit derivation of spin diffusion from a microscopic model.

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.


Spin diffusion

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