Diffusive high-temperature transport in the one-dimensional Hubbard model

TL;DR

This study demonstrates that charge and spin transport in the one-dimensional Hubbard model at infinite temperature and half-filling is diffusive for all finite interaction strengths, using advanced numerical simulations.

Contribution

The paper provides the first comprehensive numerical evidence of diffusive transport in the 1D Hubbard model at infinite temperature for all finite interactions.

Findings

Charge and spin transport are diffusive at infinite temperature.

Diffusive behavior persists for all non-zero interaction U.

Matrix-product-operator simulations effectively analyze large systems.

Abstract

We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling and zero magnetization. Implementing matrix-product-operator simulations of the non-equilibrium steady states of boundary-driven open Hubbard chains for up to 100 sites we find clear evidence of diffusive transport for any (non-zero and finite) value of the interaction U.