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Titlebook: Non-Bloch Band Theory of Non-Hermitian Systems; Kazuki Yokomizo Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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书目名称Non-Bloch Band Theory of Non-Hermitian Systems
编辑Kazuki Yokomizo
视频video
概述Nominated as an outstanding Ph.D. thesis by Tokyo Institute of Technology, Japan.Presents a way to calculate energy spectrum under the non-Hermitian skin effect.Explores bulk-edge correspondence topol
丛书名称Springer Theses
图书封面Titlebook: Non-Bloch Band Theory of Non-Hermitian Systems;  Kazuki Yokomizo Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive
描述.This book constructs a non-Bloch band theory and studies physics described by non-Hermitian Hamiltonian in terms of the theory proposed here..In non-Hermitian crystals, the author introduces the non-Bloch band theory which produces an energy spectrum in the limit of a large system size. The energy spectrum is then calculated from a generalized Brillouin zone for a complex Bloch wave number. While a generalized Brillouin zone becomes a unit circle on a complex plane in Hermitian systems, it becomes a circle with cusps in non-Hermitian systems. Such unique features of the generalized Brillouin zone realize remarkable phenomena peculiar in non-Hermitian systems. .Further the author reveals rich aspects of non-Hermitian physics in terms of the non-Bloch band theory. First, a topological invariant defined by a generalized Brillouin zone implies the appearance of topological edge states. Second, a topological semimetal phase with exceptional points appears, The topological semimetal phase is unique to non-Hermitian systems because it is caused by the deformation of the generalized Brillouin zone by changes of system parameters. Third, the author reveals a certain relationship between th
出版日期Book 2022
关键词Non-Hermitian Hamiltonian; Non-Hermitian Skin Effect; Non-Bloch Wave; Generalized Brillouin Zone; Bulk-E
版次1
doihttps://doi.org/10.1007/978-981-19-1858-2
isbn_softcover978-981-19-1860-5
isbn_ebook978-981-19-1858-2Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Hermitian Systems and Non-Hermitian Systems,tem from a geometric phase. Then we review topological classifications in terms of the ten-fold Altland-Zirnbauer symmetry class. Next, we review the brief history of non-Hermitian physics. Then we explain that many intriguing phenomena originating from nontrivial degeneracies of energy eigenvalues
发表于 2025-3-22 20:17:45 | 显示全部楼层
Non-Hermitian Open Chain and Periodic Chain,el, we discuss how to determine the generalized Brillouin zone. Then we analytically show the difference between the energy spectrum under an open boundary condition and that under a periodic boundary condition, which is induced by the non-Hermitian skin effect.
发表于 2025-3-22 23:18:47 | 显示全部楼层
Non-Bloch Band Theory of Non-Hermitian Systems and Bulk-Edge Correspondence,zed Brillouin zone for the complex Bloch wave number. From the generalized Brillouin zone, we can calculate the energy spectra, which reproduce the band structure in an open chain of this system. As examples, we apply our theory to some models, and we explain remarkable features of the generalized B
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