Ke Huang, DinhDuy Vu, Sankar Das Sarma, Xiao Li
Published 2023-05-31Version 1
We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the interaction seems to unexpectedly enhance MBL in the GPD model in some parameter ranges. To understand this counter-intuitive result, we demonstrate that the highest-energy single-particle band in the GPD model is unstable against even infinitesimal disorder, which leads to this surprising MBL phenomenon in the interacting model. We develop a mean-field theory description to understand the coupling between extended and localized states, which we validate using extensive exact diagonalization and DMRG-X numerical results.
Comments: 5 pages and 5 figures. Comments are welcome
Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model
Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-Andre model with an unbounded quasiperiodic potential
Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
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