Dense gaps and scaling relations in the interacting Aubry-Andre' model

Abstract

We study, by rigorous Renormalization Group methods, the interacting Aubry-Andre' model for fermions in the extended regime. We show that the infinitely many gaps of the single particle spectrum persist in presence of weak many body interactions, despite the presence of Umklapp large momentum processes connecting the Fermi points. The width of the gaps is strongly renormalized through critical exponents which verify exact scaling relations.

8 pages

References in corpus (5)

• Localization of interacting fermions at high temperature
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Many-Body Localization in a Quasiperiodic System
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Localization of interacting fermions in the Aubry-Andre' model

Cited by in corpus (8)

• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Topological spin excitations in Harper-Heisenberg spin chains
• Stability of Weyl semimetals with quasiperiodic disorder
• Persistence of gaps in the interacting Hofstadter model
• Localisation Transition in the Driven Aubry-André Model
• Interacting spinning fermions with quasi-random disorder
• Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance
• Vanishing of Drude weight in interacting fermions on Zd with quasi-periodic disorder