Topological states of non-Hermitian systems

By V. M. Martinez Alvarez, J. E. Barrios Vargas, M. Berdakin, Luis E. F. Foa Torres. The European Physical Journal Special Topics, 2018

266 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0423193f920eb61c52678937db24f3c0b91ea4b0

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Topological photonics (2018, background): “There have thus been a series of works delving into the interplay of non-Hermiticity and topology with a number of disparate aims [including a recent review on the topic by Martinez Alvarez et al. (2018)].”
Non-Hermitian systems and topology: A transfer-matrix perspective (2018, background): “[40] V M Alvarez, J E Vargas, M Berdakin, and L E F Torres, “Topological states of non-Hermitian systems,” The European Physical Journal Special Topics 227, 1295–1308 (2018).”
Perspective on topological states of non-Hermitian lattices (2019, background): “ike the fact that because of the extreme sensitivity to boundary conditions, a pristine non-Hermitian lattice may become devoid of extended states [45, 46], an effect termed non-Hermitian skin effect [47, 48]. On the other hand, there is an intense activity in the search of a consistent classiﬁcatio”
Exceptional topology of non-Hermitian systems (2019, unknown): “…focus of our review include an anomalous bulk-boundary correspondence accompanied by the non-Hermitian skin effect (Lee, 2016; Kunst et al. , 2018; Martinez Alvarez, Barrios Vargas, and Foa Torres, 2018; Xiong, 2018; Yao and Wang, 2018), the ubiquitous occurrence of exceptional nodal phases…”