Non-Bloch Band Theory of Non-Hermitian Systems / Springer Theses (PDF)
(Sprache: Englisch)
¿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...
In non-Hermitian crystals, the author introduces the non-Bloch band theory which produces an energy spectrum in...
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¿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 exceptionalpoints 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.
Autoren-Porträt von Kazuki Yokomizo
Kazuki Yokomizo is a postdoctoral researcher at the Condensed Matter Theory Laboratory, RIKEN Cluster for Pioneering Research. He received his Ph.D. in science from Tokyo Institute of Technology in December 2020. He was awarded a Research Fellowship for Young Scientists (PD) by the Japan Society for the Promotion of Science.
Bibliographische Angaben
- Autor: Kazuki Yokomizo
- 2022, 1st ed. 2022, 92 Seiten, Englisch
- Verlag: Springer Nature Singapore
- ISBN-10: 9811918589
- ISBN-13: 9789811918582
- Erscheinungsdatum: 22.04.2022
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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