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arXiv · 1505.06343

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

Yucheng Wang·Haiping Hu·Shu Chen
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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 nonergoic 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 noninterating limit, in which all eigenstaes undergo a delocaliztion-localization transtion when the strength of the incommensurate potential exceeds a critical value.

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Yucheng Wang, Haiping Hu, Shu Chen. 2015-05-23. Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system. https://doi.org/10.1140/epjb%2Fe2016-60873-4

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