Many-Body Localization in the Massless Schwinger Model

Abstract

The massless Schwinger model, a one-dimensional system of massless fermions with a long-range Coulombic interaction, is equivalent to a non-interacting bosonic field with a mass term in the bosonization regime. This begs the question: does the massless Schwinger model many-body localize upon the addition of disorder? We answer this question by calculating the level statistics ratio for the disordered massless Schwinger model in the low-interaction regime, where bosonization applies. Our results suggest that the system many-body localizes in the bosonization regime at low energy densities. We present numerical evidence from finite size studies of a lattice version of the model in support of this conclusion.