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The European Physical Journal Special Topics

, Volume 227, Issue 12, pp 1295–1308 | Cite as

Topological states of non-Hermitian systems

  • V. M. Martinez Alvarez
  • J. E. Barrios Vargas
  • M. Berdakin
  • L. E. F. Foa Torres
Regular Article
Part of the following topical collections:
  1. Topological States of Matter: Theory and Applications

Abstract

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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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Departamento de Física, Laboratório de Física Teórica e Computacional, Universidade Federal de PernambucoRecifeBrazil
  2. 2.Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de ChileSantiagoChile

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