We consider the interacting Aubry-André model describing fermions on a one-dimensional lattice with an incommensurate potential and a short-range many-body interaction. The single-particle spectrum has infinitely many gaps in the extended phase and at zero temperature is an insulator for almost all the chemical potentials. The many-body interaction has the effect that the gaps are strongly decreased or increased depending on the attractive or repulsive nature of the interaction, but even the smallest gaps remain open. The system is a band insulator for generic chemical potentials even in the presence of interaction, and a quantum phase transition is excluded at weak coupling.

Dense gaps in the interacting Aubry-André model / V. Mastropietro. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 93:24(2016), pp. 245154.1-245154.8. [10.1103/PhysRevB.93.245154]

Dense gaps in the interacting Aubry-André model

V. Mastropietro
Primo
2016

Abstract

We consider the interacting Aubry-André model describing fermions on a one-dimensional lattice with an incommensurate potential and a short-range many-body interaction. The single-particle spectrum has infinitely many gaps in the extended phase and at zero temperature is an insulator for almost all the chemical potentials. The many-body interaction has the effect that the gaps are strongly decreased or increased depending on the attractive or repulsive nature of the interaction, but even the smallest gaps remain open. The system is a band insulator for generic chemical potentials even in the presence of interaction, and a quantum phase transition is excluded at weak coupling.
localization; fermions; chain
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/466603
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