Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system

Yucheng Wang (), Haiping Hu and Shu Chen
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Yucheng Wang: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
Haiping Hu: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
Shu Chen: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 3, 1-6

Abstract: Abstract We study the localization problem of one-dimensional interacting spinless fermions in an incommensurate optical lattice, which changes from an extended phase to a non-ergoic many-body localized phase by increasing the strength of the incommensurate potential. We identify that there exists an intermediate regime before the system enters the many-body localized phase, in which both the localized and extended many-body states coexist, thus the system is divided into three different phases, which can be characterized by normalized participation ratios of the many-body eigenstates and distributions of natural orbitals of the corresponding one-particle density matrix. This is very different from its noninteracting limit, in which all eigenstates undergo a delocalization-localization transition when the strength of the incommensurate potential exceeds a critical value.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-60873-4

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