2018/03/07 by Xiongjie Yu, Di Luo, Bryan K. Clark · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.98.115106
published as Phys. Rev. B 98, 115106 (2018) · 12 pages, 18 figures
arxiv created 2018/03/07 · arxiv updated 2018/09/12
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 work, 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, then, is a microscopic Hamiltonian which is neither ergodic nor many-body localized. 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.