Journal
SCIPOST PHYSICS
Volume 4, Issue 1, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.4.1.002
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Funding
- National Science Foundation [PHY-1607611]
- Deutsche Forschungsgemeinschaft (DFG) [FOR 1807, HE 5242/3-1, HE 5242/3-2]
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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.
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