Topological states of non-Hermitian systems

Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the context of photonic systems, where one needs to account for g...

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Bibliographic Details
Published inThe European physical journal. ST, Special topics Vol. 227; no. 12; pp. 1295 - 1308
Main Authors Martinez Alvarez, V. M., Barrios Vargas, J. E., Berdakin, M., Foa Torres, L. E. F.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer Nature B.V
Subjects
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Lattices
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Photonics
Physics
Physics and Astronomy
Regular Article
Topological States of Matter: Theory and Applications
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Summary:Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the context of photonic systems, where one needs to account for gain and loss, circuits of resonators, and also when modeling the lifetime due to interactions in condensed matter systems. Here we provide a brief overview of this rapidly growing subject, the search for topological states and a bulk-boundary correspondence in non-Hermitian systems.
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ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2018-800091-5