Non-Bloch Band Theory of Non-Hermitian Systems - Kazuki Yokomizo

Non-Bloch Band Theory of Non-Hermitian Systems

(Autor)

Buch | Hardcover
92 Seiten
2022 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-1857-5 (ISBN)
171,19 inkl. MwSt
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.

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.

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.

Erscheinungsdatum
Reihe/Serie Springer Theses
Zusatzinfo 23 Illustrations, color; 2 Illustrations, black and white; XIII, 92 p. 25 illus., 23 illus. in color.
Verlagsort Singapore
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Festkörperphysik
Naturwissenschaften Physik / Astronomie Thermodynamik
Technik Maschinenbau
Schlagworte Bogoliubov-de Gennes Hamiltonian • Bulk-Edge Correspondence • Generalized Brillouin Zone • Non-Bloch Wave • non-Hermitian Hamiltonian • Non-Hermitian Skin Effect • Non-Hermitian Su-Schrie er-Heeger (SSH) Model • Topological Phase
ISBN-10 981-19-1857-0 / 9811918570
ISBN-13 978-981-19-1857-5 / 9789811918575
Zustand Neuware
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