Related papers: Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class

Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class

URL: http://arxiv.org/abs/2003.07597v2
Date: Fri, 29 May 2020 15:07:10 GMT
Title: Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
Authors: Kohei Kawabata, Nobuyuki Okuma, Masatoshi Sato
Abstract summary: Non-Hermitian Hamiltonians are generally sensitive to boundary conditions. Non-Bloch band theory breaks down in the symplectic class. Non-Bloch band theory underlies the $mathbbZ_2$ non-Hermitian skin effect protected by reciprocity.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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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