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    Non-Hermitian Mott Skin Effect

    Tsuneya Yoshida1,2, Song-Bo Zhang3,4, Titus Neupert5, and Norio Kawakami6,7,8

    • 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
    • 2Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland
    • 3Hefei National Laboratory, Hefei, Anhui, 230088, China
    • 4International Center for Quantum Design of Functional Materials (ICQD), University of Science and Technology of China, Hefei, Anhui 230026, China
    • 5Department of Physics, University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
    • 6Department of Materials Engineering Science, Osaka University, Toyonaka 560-8531, Japan
    • 7Department of Physics, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
    • 8Fundamental Quantum Science Program, TRIP Headquarters, RIKEN, Wako 351-0198, Japan

    Phys. Rev. Lett. 133, 076502 – Published 14 August, 2024

    DOI: https://doi.org/10.1103/PhysRevLett.133.076502

    Abstract

    We propose a novel type of skin effects in non-Hermitian quantum many-body systems that we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap topology. The Mott skin effect induces extreme sensitivity to the boundary conditions only in the spin degree of freedom (i.e., the charge distribution is not sensitive to boundary conditions), which is in sharp contrast to the ordinary non-Hermitian skin effect in noninteracting systems. Concretely, we elucidate that a bosonic non-Hermitian chain exhibits the Mott skin effect in the strongly correlated regime by closely examining an effective Hamiltonian. The emergence of the Mott skin effect is also supported by numerical diagonalization of the bosonic chain. The difference between the ordinary non-Hermitian skin effect and the Mott skin effect is also reflected in the time evolution of physical quantities; under the time evolution spin accumulation is observed while the charge distribution remains spatially uniform.

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