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

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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.

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Authors and Affiliations

  1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, P.R. China

    Yucheng Wang, Haiping Hu & Shu Chen

  2. Collaborative Innovation Center of Quantum Matter, Beijing, P.R. China

    Shu Chen

Authors
  1. Yucheng Wang
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  2. Haiping Hu
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  3. Shu Chen
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Correspondence to Yucheng Wang.

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Wang, Y., Hu, H. & Chen, S. Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system. Eur. Phys. J. B 89, 77 (2016). https://doi.org/10.1140/epjb/e2016-60873-4

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  • DOI: https://doi.org/10.1140/epjb/e2016-60873-4

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