Kazuki Yokomizo

Non-Bloch Band Theory of Non-Hermitian Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

¿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.

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Produktdetails

• Verlag: Springer Nature Singapore
• Seitenzahl: 92
• Erscheinungstermin: 22. April 2022
• Englisch
• ISBN-13: 9789811918582
• Artikelnr.: 63873727

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

"Each chapter ends with a summary, and appendices are, where necessary, provided on useful concrete concepts and definitions in a very succinct and clear manner. The book is pedagogically written, and contains a list of rich and worthy references at the end of chapters." (Norbert Hounkonnou, zbMATH 1530.82002, 2024)