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Title: PT phase transitions of edge states at PT symmetric interfaces in non-Hermitian topological insulators
Authors: Ni, Xiang
Smirnova, Daria
Poddubny, Alexander
Leykam, Daniel
Chong, Yidong
Khanikaev, Alexander B.
Keywords: DRNTU::Science::Physics
Parity-Time (PT) Symmetry
Topological Insulators
Issue Date: 2018
Source: Ni, X., Smirnova, D., Poddubny, A., Leykam, D., Chong, Y., & Khanikaev, A. B. (2018). PT phase transitions of edge states at PT symmetric interfaces in non-Hermitian topological insulators. Physical Review B, 98(16), 165129-. doi:10.1103/PhysRevB.98.165129
Series/Report no.: Physical Review B
Abstract: We demonstrate that the parity-time (PT) symmetric interfaces formed between non-Hermitian amplifying (“gainy”) and lossy topological crystals exhibit PT phase transitions separating phases of lossless and decaying/amplifying topological edge transport. The spectrum of these interface states exhibits exceptional points (EPs) separating (i) a PT symmetric real-valued regime with an evenly distributed wave function in both gainy and lossy domains and (ii) a PT broken complex-valued regime, in which edge states asymmetrically localize in one of the domains. Despite its complex-valued character, the edge spectrum remains gapless and connects complex-valued bulk bands through the EPs. We find that the regimes exist when the real edge spectrum is embedded into the bulk continuum without mixing, indicating that the edge states are protected against leakage into the bulk by the PT symmetry. Two exemplary PT symmetric systems, exhibiting valley and Chern topological phases, respectively, are investigated and the connection with the corresponding Hermitian systems is established. Interestingly, despite the complex bulk spectrum of the Chern insulator, the bulk-interface correspondence principle still holds, as long as the topological gap remains open. The proposed systems are experimentally feasible in photonics, which is evidenced by our rigorous full-wave simulations of PT symmetric silicon-based photonic graphene.
ISSN: 2469-9950
Rights: © 2018 American Physical Society (APS). All rights reserved. This paper was published in Physical Review B and is made available with permission of American Physical Society (APS).
Fulltext Permission: open
Fulltext Availability: With Fulltext
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