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Non-Bloch Band Theory of Non-Hermitian Systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-Bloch Band Theory of Non-Hermitian Systems/ by Kazuki Yokomizo.
作者:	Yokomizo, Kazuki.
面頁冊數:	XIII, 92 p. 25 illus., 23 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Theoretical, Mathematical and Computational Physics. -
電子資源:	https://doi.org/10.1007/978-981-19-1858-2
ISBN:	9789811918582

Non-Bloch Band Theory of Non-Hermitian Systems
Yokomizo, Kazuki.

Non-Bloch Band Theory of Non-Hermitian Systems[electronic resource] /by Kazuki Yokomizo. - 1st ed. 2022. - XIII, 92 p. 25 illus., 23 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

Introduction -- Hermitian Systems and Non-Hermitian Systems -- Non-Hermitian Open Chain and Periodic Chain -- Non-Bloch Band Theory of Non-Hermitian Systems and Bulk-Edge Correspondence -- Topological Semimetal Phase With Exceptional Points in One-Dimensional Non-Hermitian Systems -- Non-Bloch Band Theory in Bosonic Bogoliubov-de Gennes Systems -- Summary and Outlook.

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: 9789811918582

Standard No.: 10.1007/978-981-19-1858-2doiSubjects--Topical Terms:

768900
Theoretical, Mathematical and Computational Physics.

LC Class. No.: QC173.45-173.458

Dewey Class. No.: 530.41

Non-Bloch Band Theory of Non-Hermitian Systems
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520 $a 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.
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