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Title: Non-Hermitian dirac cones
Authors: Xue, Haoran
Wang, Qiang
Zhang, Baile
Chong, Yidong
Keywords: Physics - Mesoscopic Systems and Quantum Hall Effect
Physics - Mesoscopic Systems and Quantum Hall Effect
Physics - Optics
Issue Date: 2020
Source: Xue, H., Wang, Q., Zhang, B., & Chong, Y. (2020). Non-Hermitian dirac cones. Physical Review Letters, 124(23), 236403-. doi:10.1103/PhysRevLett.124.236403
Project: MOE2016-T3-1-006
MOE 2018-T2-1-022
Journal: Physical Review Letters
Abstract: Non-Hermitian systems containing gain or loss commonly host exceptional point degeneracies, not the diabolic points that, in Hermitian systems, play a key role in topological transitions and related phenomena. Non-Hermitian Hamiltonians with parity-time symmetry can have real spectra but generally nonorthogonal eigenstates, impeding the emergence of diabolic points. We introduce a pair of symmetries that induce not only real eigenvalues but also pairwise eigenstate orthogonality. This allows non-Hermitian systems to host Dirac points and other diabolic points. We construct non-Hermitian models exhibiting three exemplary phenomena previously limited to the Hermitian regime: Haldane-type topological phase transition, Landau levels without magnetic fields, and Weyl points. This establishes a new connection between non-Hermitian physics and the rich phenomenology of diabolic points.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.124.236403
Rights: © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review Letters and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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