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Topological phase transitions of generalized Brillouin zone

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Title
Topological phase transitions of generalized Brillouin zone
Author(s)
Sonu Verma; Moon Jip Park
Publication Date
2024-01
Journal
Communications Physics, v.7, no.1
Publisher
NATURE PUBLISHING GROUP
Abstract
It has been known that the bulk-boundary correspondence (BBC) of the non-Hermitian skin effect is characterized by the topology of the complex eigenvalue spectra, while the topology of the wave function gives rise to Hermitian BBC with conventional boundary modes. In this work, we go beyond the known description of the non-Hermitian topological phase and find a different type of BBC that appears in generalized boundary conditions. The generalized Brillouin zone (GBZ) possesses non-trivial topological structures in the intermediate boundary condition between open and periodic boundary conditions. Unlike the conventional BBC, the topological phase transition is characterized by the generalized momentum touching of GBZ, which manifests as exceptional points. As a realization of our proposal, we suggest the non-reciprocal Kuramoto oscillator lattice, where phase slips accompany exceptional points as a signature of such topological phase transition. Our work establishes an understanding of non-Hermitian topological matter by complementing the non-Hermitian BBC as a general foundation of the non-Hermitian topological systems. © 2024, The Author(s).
URI
https://pr.ibs.re.kr/handle/8788114/15059
DOI
10.1038/s42005-024-01519-7
ISSN
2399-3650
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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