Anderson localization in an interacting fermionic system

TL;DR

This paper investigates how interactions affect Anderson localization in a one-dimensional disordered fermionic system, revealing that localization persists through elementary excitations like doublons and unpaired particles, with complex dynamics after a global quench.

Contribution

It demonstrates that Anderson localization survives in an interacting fermionic system when analyzed through elementary excitations, extending understanding of localization in many-body systems.

Findings

Localization persists with interactions when considering elementary excitations.

Elementary excitations include doublons and unpaired particles.

System exhibits complex localization behavior after a global quench.

Abstract

In the present article, we discuss the role played by the interaction in the Anderson localization problem, for a system of interacting fermions in a one-dimensional disordered lattice, described by the Fermi Hubbard Hamiltonian, in presence of an on-site random potential. We show that, given the proper identification of the elementary excitations of the system described in terms of doublons and unpaired particles, the Anderson localization picture survives. Ensuing a "global quench", we show that the system exhibits a rich localization scenario, which can be ascribed to the nearly-free dynamics of the elementary excitations of the Hubbard Hamiltonian.