Kazuki Yokomizo

Non-Bloch Band Theory of Non-Hermitian Systems

• Broschiertes Buch

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 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.

Produktdetails

• Springer Theses
• Verlag: Springer / Springer Nature Singapore / Springer, Berlin
• Artikelnr. des Verlages: 978-981-19-1860-5
• 1st ed. 2022
• Seitenzahl: 108
• Erscheinungstermin: 24. April 2023
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 178g
• ISBN-13: 9789811918605
• ISBN-10: 9811918600
• Artikelnr.: 67678638

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)