Non-Bloch Band Theory of Non-Hermitian Systems

This book provides a new framework for understanding non-Hermitian physics and offers insights into phenomena such as topological edge states,topological semimetal phases,and the relationship between non-Bloch waves and non-Hermitian topology.
The author introduces a non-Bloch band theory for studying non-Hermitian physics,which produces an energy spectrum in the limit of a large system size. This theory reveals rich aspects of non-Hermitian systems,such as topological edge states,topological semimetal phases,and the relationship between non-Bloch waves and non-Hermitian topology.

Format: Hardback
Length: 92 pages
Publication date: 23 April 2022
Publisher: Springer Verlag, Singapore

This book presents a comprehensive framework for understanding the physics of non-Hermitian systems,where the energy spectrum is derived from a generalized Brillouin zone for complex Bloch wave numbers. In contrast to Hermitian systems,where the generalized Brillouin zone becomes a unit circle on a complex plane,non-Hermitian systems exhibit a distinctive feature where the generalized Brillouin zone transforms into a circle with cusps. This unique characteristic of the generalized Brillouin zone gives rise to remarkable phenomena that are exclusive to non-Hermitian systems.

Moreover,the author delves into the intricate details of non-Hermitian physics by employing the non-Bloch band theory. Firstly,a topological invariant,defined by the generalized Brillouin zone,suggests the emergence of topological edge states. Secondly,the occurrence of a topological semimetal phase with exceptional points is unveiled,a phase that is unique to non-Hermitian systems due to the deformation of the generalized Brillouin zone caused by variations in system parameters. Thirdly,the author establishes a connection between non-Bloch waves and non-Hermitian topology,revealing new insights into the complex behavior of these systems.

By exploring these topics,this book provides a valuable resource for researchers and students interested in advancing their knowledge of non-Hermitian systems and their applications in various fields,such as quantum computing,condensed matter physics,and materials science.

Weight: 336g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811918575
Edition number: 1st ed. 2022