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Author | Title | Accn# | Year | Item Type | Claims |
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Yokomizo, Kazuki |
Non-Bloch Band Theory of Non-Hermitian Systems |
I12547 |
2022 |
Book |
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Title | Non-Bloch Band Theory of Non-Hermitian Systems |
Author(s) | Yokomizo, Kazuki |
Publication | Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2022. |
Description | XIII, 92 p. 25 illus., 23 illus. in color : online resource |
Abstract Note | 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 the non-Bloch waves and non-Hermitian topology |
ISBN,Price | 9789811918582 |
Keyword(s) | 1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK - SPRINGER
5. MATHEMATICAL PHYSICS
6. Theoretical, Mathematical and Computational Physics
7. Topological insulators
8. Topological Material
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Item Type | Book |
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I12547 |
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