Non-Bloch Band Theory of Non-Hermitian Systems

DOI

Bibliographic Information

Other Title
  • 非エルミート系におけるブロッホバンド理論

Abstract

<p>We establish a Bloch band theory in a non-Hermitian system which is a nonequilibrium system described by a non-Hermitian Hamiltonian. Under an open boundary condition, our Bloch band theory can determine the Brillouin zone for a complex Bloch wave number reproducing energy bands in the thermodynamic limit. This Brillouin zone is called the generalized Brillouin zone. The generalized Brillouin zone tells us various physics in a non-Hermitian system. As an example, we can show the bulk-edge correspondence between a topological invariant defined from the generalized Brillouin zone and existence of topological edge states.</p>

Journal

  • Butsuri

    Butsuri 77 (5), 293-297, 2022-05-05

    The Physical Society of Japan

Details 詳細情報について

  • CRID
    1390292007982659712
  • DOI
    10.11316/butsuri.77.5_293
  • ISSN
    24238872
    00290181
  • Text Lang
    ja
  • Data Source
    • JaLC
  • Abstract License Flag
    Disallowed

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