Beyond many-body localized states in a spin-disordered Hubbard model

Xiongjie Yu, Di Luo, Bryan K. Clark

Research output: Contribution to journalArticlepeer-review


A prime characterization of many-body localized (MBL) systems is the entanglement of their eigenstates; in contrast to the typical ergodic phase whose eigenstates are volume law, MBL eigenstates obey an area law. In this paper, we show that a spin-disordered Hubbard model has both a large number of area-law eigenstates as well as a large number of eigenstates whose entanglement scales logarithmically with system size (log-law). This model provides a microscopic Hamiltonian which is neither ergodic nor MBL. We establish these results through a combination of analytic arguments based on the eta-pairing operators combined with a numerical analysis of eigenstates. In addition, we describe and simulate a dynamic time evolution approach starting from product states through which one can separately probe the area-law and log-law eigenstates in this system.

Original languageEnglish (US)
Article number115106
JournalPhysical Review B
Issue number11
StatePublished - Sep 5 2018

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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