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

Xiongjie Yu, Di Luo, Bryan K Clark

Research output: Contribution to journalArticle

Abstract

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
Volume98
Issue number11
DOIs
StatePublished - Sep 5 2018

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Hamiltonians
Hubbard model
Mathematical operators
Numerical analysis
eigenvectors
numerical analysis
operators
probes
products

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Beyond many-body localized states in a spin-disordered Hubbard model. / Yu, Xiongjie; Luo, Di; Clark, Bryan K.

In: Physical Review B, Vol. 98, No. 11, 115106, 05.09.2018.

Research output: Contribution to journalArticle

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