Affiliation:
1. Ludwig Maximilian University of Munich
2. Technical University of Munich
3. Freie Universität Berlin
Abstract
We study the finite-energy density phase diagram of spinless fermions
with attractive interactions in one dimension in the presence of
uncorrelated diagonal disorder. Unlike the case of repulsive
interactions, a delocalized Luttinger-liquid phase persists at weak
disorder in the ground state, which is a well-known result. We revisit
the ground-state phase diagram and show that the recently introduced
occupation-spectrum discontinuity computed from the eigenspectrum of the
one-particle density matrix is noticeably smaller in the Luttinger
liquid compared to the localized regions. Moreover, we use the
functional renormalization group scheme to study the finite-size
dependence of the conductance, which also resolves the existence of the
Luttinger liquid and is computationally cheap. Our main results concern
the finite-energy density case. Using exact diagonalization and by
computing various established measures of the many-body
localization-delocalization transition, we argue that the
zero-temperature Luttinger liquid smoothly evolves into a finite-energy
density ergodic phase without any intermediate phase transition.
Funder
Deutsche Forschungsgemeinschaft
National Science Foundation
Subject
General Physics and Astronomy
Cited by
19 articles.
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