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RYU, Jung-Wan
복잡계 이론물리 연구단
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Nonorientability-induced PT phase transition in ladder lattices

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Title
Nonorientability-induced PT phase transition in ladder lattices
Author(s)
RYU, Jung-Wan; Nojoon Myoung; Martina Hentschel; Hee Chul Park
Publication Date
2021-04
Journal
PHYSICAL REVIEW A, v.103, no.4
Publisher
AMER PHYSICAL SOC
Abstract
We study parity-time (PT) phase transitions in the energy spectra of ladder lattices caused by the interplay between nonorientability and non-Hermitian PT symmetry. The energy spectra show level crossings in circular ladder lattices with increasing on-site energy gain-loss because of the orientability of a normal strip. However, the energy levels show PT phase transitions instead of the avoided level crossings of a Hermitian situation in PT-symmetric Mobius ladder lattices due to the nonorientability of a Mobius strip. The latter effectively presents a perturbation that would cause avoided level crossing in a Hermitian situation, but leads, in the presence of PT symmetry, to locked real energy parts and conjugate values of the imaginary parts. In order to understand the level crossings of PT-symmetric phases, we generalize the rotational transformation using a complex rotation angle. We also study the modification of resonant tunneling induced by a sharply twisted interface in PT-symmetric ladder lattices. Finally, we find that perfect transmissions at the zero energy are recovered at the exceptional points of the PT-symmetric system due to the self-orthogonal states.
URI
https://pr.ibs.re.kr/handle/8788114/9903
DOI
10.1103/PhysRevA.103.042207
ISSN
2469-9926
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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