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Title: Projectively enriched symmetry and topology in acoustic crystals
Authors: Xue, Haoran
Wang, Zihao
Huang, Yue-Xin
Cheng, Zheyu
Yu, Letian
Foo, Y. X.
Zhao, Y. X.
Yang, Shengyuan A.
Zhang, Baile
Keywords: Science::Physics
Issue Date: 2022
Source: Xue, H., Wang, Z., Huang, Y., Cheng, Z., Yu, L., Foo, Y. X., Zhao, Y. X., Yang, S. A. & Zhang, B. (2022). Projectively enriched symmetry and topology in acoustic crystals. Physical Review Letters, 128(11), 116802-.
Project: MOE2016-T3-1-006 
Journal: Physical Review Letters 
Abstract: Symmetry plays a key role in modern physics, as manifested in the revolutionary topological classification of matter in the past decade. So far, we seem to have a complete theory of topological phases from internal symmetries as well as crystallographic symmetry groups. However, an intrinsic element, i.e., the gauge symmetry in physical systems, has been overlooked in the current framework. Here, we show that the algebraic structure of crystal symmetries can be projectively enriched due to the gauge symmetry, which subsequently gives rise to new topological physics never witnessed under ordinary symmetries. We demonstrate the idea by theoretical analysis, numerical simulation, and experimental realization of a topological acoustic lattice with projective translation symmetries under a Z_{2} gauge field, which exhibits unique features of rich topologies, including a single Dirac point, Möbius topological insulator, and graphenelike semimetal phases on a rectangular lattice. Our work reveals the impact when gauge and crystal symmetries meet together with topology and opens the door to a vast unexplored land of topological states by projective symmetries.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.128.116802
Schools: School of Physical and Mathematical Sciences 
Research Centres: Centre for Disruptive Photonic Technologies (CDPT) 
Rights: © 2022 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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