Non-Bloch band theory of non-Hermitian systems / Kazuki Yokomizo.

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Non-Bloch band theory of non-Hermitian systems / Kazuki Yokomizo.

9789811918582 (electronic bk.)
9811918589 (electronic bk.)
9789811918575 (print)

Singapore : Springer, 2022.

English

1 online resource (xiii, 92 pages) : illustrations (some color).

10.1007/978-981-19-1858-2 doi

TA347.B69

518

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.

"Doctoral Thesis accepted by Tokyo Institute of Technology, Tokyo, Japan."

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed April 26, 2022).

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