Non-Bloch band theory of non-Hermitian systems / Kazuki Yokomizo.
2022
TA347.B69
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Details
Title
Non-Bloch band theory of non-Hermitian systems / Kazuki Yokomizo.
Author
Yokomizo, Kazuki, author.
ISBN
9789811918582 (electronic bk.)
9811918589 (electronic bk.)
9789811918575 (print)
9811918589 (electronic bk.)
9789811918575 (print)
Published
Singapore : Springer, 2022.
Language
English
Description
1 online resource (xiii, 92 pages) : illustrations (some color).
Item Number
10.1007/978-981-19-1858-2 doi
Call Number
TA347.B69
Dewey Decimal Classification
518
Summary
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.
Note
"Doctoral Thesis accepted by Tokyo Institute of Technology, Tokyo, Japan."
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 26, 2022).
Series
Springer theses, 2190-5061
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Table of Contents
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.
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.