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 |  |
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 |
doi | https://doi.org/10.1007/978-981-19-1858-2 |
isbn_softcover | 978-981-19-1860-5 |
isbn_ebook | 978-981-19-1858-2Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
issn_series | 2190-5053 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |