首页|Brillouin Klein space and half-turn space in three-dimensional acoustic crystals

Brillouin Klein space and half-turn space in three-dimensional acoustic crystals

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The Bloch band theory and Brillouin zone(BZ)that characterize wave-like behaviors in periodic mediums are two cornerstones of contemporary physics,ranging from condensed matter to topological physics.Recent theoretical breakthrough revealed that,under the projective symmetry algebra enforced by arti-ficial gauge fields,the usual two-dimensional(2D)BZ(orientable Brillouin two-torus)can be fundamen-tally modified to a non-orientable Brillouin Klein bottle with radically distinct manifold topology.However,the physical consequence of artificial gauge fields on the more general three-dimensional(3D)BZ(orientable Brillouin three-torus)was so far missing.Here,we theoretically discovered and experimentally observed that the fundamental domain and topology of the usual 3D BZ can be reduced to a non-orientable Brillouin Klein space or an orientable Brillouin half-turn space in a 3D acoustic crystal with artificial gauge fields.We experimentally identify peculiar 3D momentum-space non-symmorphic screw rotation and glide reflection symmetries in the measured band structures.Moreover,we experi-mentally demonstrate a novel stacked weak Klein bottle insulator featuring a nonzero Z2 topological invariant and self-collimated topological surface states at two opposite surfaces related by a nonlocal twist,radically distinct from all previous 3D topological insulators.Our discovery not only fundamentally modifies the fundamental domain and topology of 3D BZ,but also opens the door towards a wealth of previously overlooked momentum-space multidimensional manifold topologies and novel gauge-symmetry-enriched topological physics and robust acoustic wave manipulations beyond the existing paradigms.

Momentum-space non-symmorphicsymmetryBrillouin Klein space and half-turn spaceAcoustic Klein bottle insulatorSelf-collimated topological surface states

Zhenxiao Zhu、Linyun Yang、Jien Wu、Yan Meng、Xiang Xi、Bei Yan、Jingming Chen、Jiuyang Lu、Xueqin Huang、Weiyin Deng、Ce Shang、Perry Ping Shum、Yihao Yang、Hongsheng Chen、Kexin Xiang、Gui-Geng Liu、Zhengyou Liu、Zhen Gao

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State Key Laboratory of Optical Fiber and Cable Manufacture Technology,Department of Electronic and Electrical Engineering,Southern University of Science and Technology,Shenzhen 518055,China

School of Physics and Optoelectronics,South China University of Technology,Guangzhou 510640,China

Key Laboratory of Artificial Micro-and Nanostructures of Ministry of Education and School of Physics and Technology,Wuhan University,Wuhan 430072,China

King Abdullah University of Science and Technology(KAUST),Physical Science and Engineering Division(PSE),Thuwal 23955-6900,Saudi Arabia

Interdisciplinary Center for Quantum Information,State Key Laboratory of Modern Optical Instrumentation,ZJU-Hangzhou Global Science and Technology Innovation Center,College of Information Science and Electronic Engineering,ZJU-UIUC Institute,Zhejiang University,Hangzhou 310027,China

Division of Physics and Applied Physics,School of Physical and Mathematical Sciences,Nanyang Technological University,Singapore 637371,Singapore

Institute for Advanced Studies,Wuhan University,Wuhan 430072,China

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaShenzhen Science and Technology Innovation CommissionSUSTechSUSTechNational Key R&D Program of ChinaNational Key R&D Program of ChinaNational Natural Science Foundation of ChinaYan Meng acknowledges the support from the National Natural Science Foundation of ChinaBasic and Applied Basic Research Foundation of Guangdong ProvinceShenzhen Science and Technology Innovation CommissionNational Natural Science Foundation of ChinaShenzhen Science and Technology ProgramSpecial Funds for the Cultivation of Guangdong College Students'Scientific and Technological Innovation

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2024

10.1016/j.scib.2024.05.003

科学通报(英文版)
中国科学院

科学通报(英文版)

CSTPCD
ISSN：1001-6538
年,卷(期)：2024.69(13)
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