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

Zhu, Zhenxiao1; Yang, Linyun1; Wu, Jien2; Meng, Yan1; Xi, Xiang1; Yan, Bei1; Chen, Jingming1; Lu, Jiuyang2,3,4; Huang, Xueqin2; Deng, Weiyin2,3,4; Shang, Ce5; Shum, Perry Ping1; Yang, Yihao6; Chen, Hongsheng6; Xiang, Kexin1; Liu, Gui-Geng7; Liu, Zhengyou3,4,8; Gao, Zhen1

2024-07-15

10.1016/j.scib.2024.05.003

SCIENCE BULLETIN   影响因子和分区

2095-9273

2095-9281

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 artificial gauge fields, the usual two-dimensional (2D) BZ (orientable Brillouin two-torus) can be fundamentally 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 experimentally 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 gaugesymmetry-enriched topological physics and robust acoustic wave manipulations beyond the existing paradigms. (c) 2024 Science China Press. Published by Elsevier B.V. and Science China Press. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Momentum-space non-symmorphic symmetry Brillouin Klein space and half-turn space Acoustic Klein bottle insulator Self-collimated topological surface states

SCI ; EI

英语

第一 ; 通讯

National Natural Science Foundation of China["62220106006","62375118","6231101016","12104211"] ; Shenzhen Science and Technology Innovation Commission["20220815111105001","202308073000209"] ; SUSTech["Y01236148","Y01236248"] ; National Key R&D Program of China["2022YFA1404900","2018YFA0305800"] ; Basic and Applied Basic Research Foundation of Guangdong Province[2414050002552] ; Shenzhen Science and Technology Program[SGDX20211123114001001] ; Special Funds for the Cultivation of Guangdong College Students' Scientific and Technological Innovation[pdjh2023c21002]

Science & Technology - Other Topics

Multidisciplinary Sciences

WOS:001267890200001

ELSEVIER

Web of Science

1.Southern Univ Sci & Technol, Dept Elect & Elect Engn, State Key Lab Opt Fiber & Cable Manufacture Techno, Shenzhen 518055, Peoples R China
2.South China Univ Technol, Sch Phys & Optoelect, Guangzhou 510640, Peoples R China
3.Wuhan Univ, Key Lab Artificial Micro & Nanostruct, Minist Educ, Wuhan 430072, Peoples R China
4.Wuhan Univ, Sch Phys & Technol, Wuhan 430072, Peoples R China
5.King Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia
6.Zhejiang Univ, Coll Informat Sci & Elect Engn, Interdisciplinary Ctr Quantum Informat,ZJU UIUC In, State Key Lab Modern Opt Instrumentat,ZJU Hangzhou, Hangzhou 310027, Peoples R China
7.Nanyang Technol Univ, Sch Phys & Math Sci, Div Phys & Appl Phys, Singapore 637371, Singapore
8.Wuhan Univ, Inst Adv Studies, Wuhan 430072, Peoples R China

Zhu, Zhenxiao,Yang, Linyun,Wu, Jien,et al. Brillouin Klein space and half-turn space in three-dimensional acoustic crystals[J]. SCIENCE BULLETIN,2024,69(13).

Zhu, Zhenxiao.,Yang, Linyun.,Wu, Jien.,Meng, Yan.,Xi, Xiang.,...&Gao, Zhen.(2024).Brillouin Klein space and half-turn space in three-dimensional acoustic crystals.SCIENCE BULLETIN,69(13).

Zhu, Zhenxiao,et al."Brillouin Klein space and half-turn space in three-dimensional acoustic crystals".SCIENCE BULLETIN 69.13(2024).