厄米矩阵
布洛赫波
互惠(文化人类学)
辛几何
边界(拓扑)
物理
边值问题
势理论
数学物理
量子力学
数学
数学分析
心理学
社会心理学
作者
Kohei Kawabata,Nobuyuki Ōkuma,Masatoshi Sato
出处
期刊:Physical review
日期:2020-05-29
卷期号:101 (19)
被引量:153
标识
DOI:10.1103/physrevb.101.195147
摘要
Non-Hermitian Hamiltonians are generally sensitive to boundary conditions, and their spectra and wave functions under open boundary conditions are not necessarily predicted by the Bloch band theory for periodic boundary conditions. To elucidate such a non-Bloch feature, recent works have developed a non-Bloch band theory that works even under arbitrary boundary conditions. Here, it is demonstrated that the standard non-Bloch band theory breaks down in the symplectic class, in which non-Hermitian Hamiltonians exhibit Kramers degeneracy because of reciprocity. Instead, a modified non-Bloch band theory for the symplectic class is developed in a general manner, as well as illustrative examples. This nonstandard non-Bloch band theory underlies the ${\mathbb{Z}}_{2}$ non-Hermitian skin effect protected by reciprocity.
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