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

By K. Kawabata, N. Okuma, Masatoshi Sato. 2020

142 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6497635fb979f8fa2f72eda67457ede589bad746

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Exceptional topology of non-Hermitian systems (2019, unknown): “A strategy for finding a generalized BBC was presented by Yao, Song, and Wang (2018) and Yao and Wang (2018) and further expanded upon by Deng and Yi (2019), Yokomizo and Murakami (2019), Kawabata, Okuma, and Sato (2020), and Yang, Zhang et al. (2020).”
Higher-order non-Hermitian skin effect (2020, background): “For example, it is modified in the symplectic class [88, 89], which accounts for the Z2 reciprocal skin effect [80].”