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Cited by 266

The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.

Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry

Open access
Yoshida, Tsuneya, Peters, Robert, Kawakami, Norio, Hatsugai, Yasuhiro·2019·Physical Review B
DOI 10.1103/physrevb.99.121101
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Abstract

Emergence of exceptional points in two dimensions is one of the remarkable phenomena in non-Hermitian systems. We here elucidate the impacts of symmetry on the non-Hermitian physics. Specifically, we analyze chiral symmetric correlated systems in equilibrium where the non-Hermitian phenomena are induced by the finite lifetime of quasiparticles. Intriguingly, our analysis reveals that the combination of symmetry and non-Hermiticity results in topological degeneracies of energy bands which we call symmetry-protected exceptional rings (SPERs). We observe the emergence of SPERs by analyzing a non-Hermitian Dirac Hamiltonian. Furthermore, by employing the dynamical mean-field theory, we demonstrate the emergence of SPERs in a correlated honeycomb lattice model whose single-particle spectrum is described by a non-Hermitian Dirac Hamiltonian. We uncover that the SPERs survive even beyond the non-Hermitian Dirac Hamiltonian, which is related to a zeroth Chern number. The argument of symmetry protection also holds for three dimensions, elucidating the presence of a symmetry-protected exceptional torus.

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Metadata

Authors
Yoshida, T., Peters, R., Kawakami, N., & Hatsugai, Y.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2019-03-05
Volume
99
Issue
12
ISSN
  • 2469-9950 (ISSN-L)
  • 2469-9969
DOI
10.1103/physrevb.99.121101
OpenAlex
W2898082956
Cited by
266
References
69
FWCI
20.78
Type
journal article
Language
en
Open access
green

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