Non-Bloch Band Theory of Non-Hermitian Systems

von Kazuki Yokomizo

92 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Springer Theses
• Themen: Mathematik und Naturwissenschaften Physik Materialwissenschaft / Aggregatzustände Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik)
• ISBN: 9789811918575
• Sprache: Englisch
• Erscheinungsdatum: 23.04.2022
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Singapore