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Non-bloch band theory of non-hermitian systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Non-bloch band theory of non-hermitian systemsby Kazuki Yokomizo.
Author:	Yokomizo, Kazuki.
Published:	Singapore :Springer Nature Singapore :2022.
Description:	xiii, 92 p. :ill. (some col.), digital ;24 cm.
Notes:	"Doctoral Thesis accepted by Tokyo Institute of Technology, Tokyo, Japan."
Contained By:	Springer Nature eBook
Subject:	Boundary element methods.
Online resource:	https://doi.org/10.1007/978-981-19-1858-2
ISBN:	9789811918582$q(electronic bk.)

Non-bloch band theory of non-hermitian systems
Yokomizo, Kazuki.

Non-bloch band theory of non-hermitian systems[electronic resource] /by Kazuki Yokomizo. - Singapore :Springer Nature Singapore :2022. - xiii, 92 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral Thesis accepted by Tokyo Institute of Technology, Tokyo, Japan."

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$q(electronic bk.)

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

208685
Boundary element methods.

LC Class. No.: TA347.B69 / Y65 2022

Dewey Class. No.: 518

Non-bloch band theory of non-hermitian systems
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505 0 $a 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.
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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