Disordered impenetrable two-component fermions in one dimension
Abstract
We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion (t-0 model) in the presence of disorder. Our analytical treatment demonstrates that the type of disorder drastically changes the nature of the emerging phases. The case of spin-independent disorder can be treated as a single-particle problem with Anderson localization. On the contrary, recent numerical findings show that spin-dependent disorder, which can be realized as a random magnetic field, leads to the many-body localization-delocalization transition. We find an explicit analytic expression for the matrix elements of the random magnetic field between the eigenstates of the t-0 model with potential disorder on a finite lattice. Analysis of the matrix elements supports the existence of the many-body localization-delocalization transition in this system and provides an extended physical picture of the random magnetic field.
Cite
@article{arxiv.2112.06895,
title = {Disordered impenetrable two-component fermions in one dimension},
author = {D. V. Kurlov and M. S. Bahovadinov and S. I. Matveenko and A. K. Fedorov and V. Gritsev and B. L. Altshuler and G. V. Shlyapnikov},
journal= {arXiv preprint arXiv:2112.06895},
year = {2023}
}