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Luttinger liquid phase in the Aubry-André Hubbard chain

Year: 2024
Type: article
Abstract: We study the interplay between an on-site Hubbard repulsion and quasiperiodic potential in one-dimensional fermion chains using the density matrix renormalization group. We find that, at half filling, the quasiperiodic potential can destroy the Mott gap, leading to a metallic Luttinger liquid phase between the gapped Mott insulator at strong repulsion and the localized gapless Aubry-Andr\'e insulator at strong quasiperiodic potential. Away from half filling, the metallic phase of the interacting model persists to larger critical strengths of the potential than in the noninteracting case, suggesting interaction-stabilized delocalization at finite doping. We characterize the Luttinger liquid through its charge and spin correlations, structure factors, and entanglement entropy.
DOI: 10.1103/physrevb.110.165117
Institutions: Chinese Academy of Sciences, Institute of Physics, University of Chinese Academy of Sciences, Stanford University, University of Rochester, Beijing Academy of Quantum Information Sciences
Language: English
Open Access status: green
Awards: G1286251239, Emergent Phenomena in Quantum Systems Theory Center, G1884735594, G2272366923, G2371548206, G2911450482, G303061748, Graduate Research Fellowship Program (GRFP), G5473946529, G5570207115, G6550344761, G7283024673, G8601721673, G911061179, G969889393
OpenAlex ID: W4403204459
FWCI:
Cites: 48
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Related to: 10