Emergent localized states at the interface of a twofold PT-symmetric lattice

We consider the role of nontriviality resulting from a non-Hermitian Hamiltonian without band topology that conserves twofold PT symmetry assembled by interconnections between a PT-symmetric lattice and its time-reversal partner. Twofold PT symmetry in the lattice produces additional surface excepti...

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Main Authors: Jung-Wan Ryu, Nojoon Myoung, Ara Go, Sungjong Woo, Sang-Jun Choi, Hee Chul Park
Format: Article
Language:English
Published: American Physical Society 2020-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033149
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author Jung-Wan Ryu
Nojoon Myoung
Ara Go
Sungjong Woo
Sang-Jun Choi
Hee Chul Park
author_facet Jung-Wan Ryu
Nojoon Myoung
Ara Go
Sungjong Woo
Sang-Jun Choi
Hee Chul Park
author_sort Jung-Wan Ryu
collection DOAJ
description We consider the role of nontriviality resulting from a non-Hermitian Hamiltonian without band topology that conserves twofold PT symmetry assembled by interconnections between a PT-symmetric lattice and its time-reversal partner. Twofold PT symmetry in the lattice produces additional surface exceptional points that play the role of new critical points, along with the bulk exceptional point. We show that there are two distinct regimes possessing symmetry-protected localized states of which localization lengths are robust against non-Hermiticity parameter. The states are demonstrated by numerical calculation of a quasi-one-dimensional ladder lattice and a two-dimensional bilayered square lattice.
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spelling doaj.art-74e1d87118ff4874995ba03d9238d4ae2024-04-12T16:57:51ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303314910.1103/PhysRevResearch.2.033149Emergent localized states at the interface of a twofold PT-symmetric latticeJung-Wan RyuNojoon MyoungAra GoSungjong WooSang-Jun ChoiHee Chul ParkWe consider the role of nontriviality resulting from a non-Hermitian Hamiltonian without band topology that conserves twofold PT symmetry assembled by interconnections between a PT-symmetric lattice and its time-reversal partner. Twofold PT symmetry in the lattice produces additional surface exceptional points that play the role of new critical points, along with the bulk exceptional point. We show that there are two distinct regimes possessing symmetry-protected localized states of which localization lengths are robust against non-Hermiticity parameter. The states are demonstrated by numerical calculation of a quasi-one-dimensional ladder lattice and a two-dimensional bilayered square lattice.http://doi.org/10.1103/PhysRevResearch.2.033149
spellingShingle Jung-Wan Ryu
Nojoon Myoung
Ara Go
Sungjong Woo
Sang-Jun Choi
Hee Chul Park
Emergent localized states at the interface of a twofold PT-symmetric lattice
Physical Review Research
title Emergent localized states at the interface of a twofold PT-symmetric lattice
title_full Emergent localized states at the interface of a twofold PT-symmetric lattice
title_fullStr Emergent localized states at the interface of a twofold PT-symmetric lattice
title_full_unstemmed Emergent localized states at the interface of a twofold PT-symmetric lattice
title_short Emergent localized states at the interface of a twofold PT-symmetric lattice
title_sort emergent localized states at the interface of a twofold pt symmetric lattice
url http://doi.org/10.1103/PhysRevResearch.2.033149
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