Spinful topological phases in acoustic crystals with projective PT symmetry
For the classification of topological phases of matter, an important consideration is whether a system is spinless or spinful, as these two classes have distinct symmetry algebra that gives rise to fundamentally different topological phases. However, only recently has it been realized theoretically...
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sg-ntu-dr.10356-1694052023-07-24T15:34:50Z Spinful topological phases in acoustic crystals with projective PT symmetry Meng, Yan Lin, Shuxin Shi, Bin-Jie Wei, Bin Yang, Linyun Yan, Bei Zhu, Zhenxiao Xi, Xiang Wang, Yin Ge, Yong Yuan, Shou-Qi Chen, Jingming Liu, Gui-Geng Sun, Hong-Xiang Chen, Hongsheng Yang, Yihao Gao, Zhen School of Physical and Mathematical Sciences Science::Physics Acoustic Crystal PT symmetries For the classification of topological phases of matter, an important consideration is whether a system is spinless or spinful, as these two classes have distinct symmetry algebra that gives rise to fundamentally different topological phases. However, only recently has it been realized theoretically that in the presence of gauge symmetry, the algebraic structure of symmetries can be projectively represented, which possibly enables the switch between spinless and spinful topological phases. Here, we report the experimental demonstration of this idea by realizing spinful topological phases in "spinless" acoustic crystals with projective space-time inversion symmetry. In particular, we realize a one-dimensional topologically gapped phase characterized by a 2Z winding number, which features double-degenerate bands in the entire Brillouin zone and two pairs of degenerate topological boundary modes. Our Letter thus overcomes a fundamental constraint on topological phases by spin classes. Published version Z. G. acknowledges support from the National Natural Science Foundation of China under Grants No. 12104211, Shenzhen Science and Technology Innovation Commission under Grant No. 20220815111105001, and SUSTech under Grants No. Y01236148 and No. Y01236248. The work at Zhejiang University was sponsored by the Key Research and Development Program of the Ministry of Science and Technology under Grants No. 2022YFA1404704 (H. C.), No. 2022YFA1404902 (Y. Y.), and No. 2022YFA1405201 (Y. Y.), the National Natural Science Foundation of China (NNSFC) under Grants No. 11961141010 (H. C.), No. 62175215 (Y. Y.), and No. 61975176 (H. C.), the Fundamental Research Funds for the Central Universities (2021FZZX001-19) (Y. Y.), and the Excellent Young Scientists Fund Program (Overseas) of China (Y. Y.). H. S. acknowledges the support from the National Natural Science Foundation of China (Grants No. 12274183 and No. 12174159), and the National Key Research and Development Program of China (Grant No. 2020YFC1512403). 2023-07-18T01:24:32Z 2023-07-18T01:24:32Z 2023 Journal Article Meng, Y., Lin, S., Shi, B., Wei, B., Yang, L., Yan, B., Zhu, Z., Xi, X., Wang, Y., Ge, Y., Yuan, S., Chen, J., Liu, G., Sun, H., Chen, H., Yang, Y. & Gao, Z. (2023). Spinful topological phases in acoustic crystals with projective PT symmetry. Physical Review Letters, 130(2), 026101-. https://dx.doi.org/10.1103/PhysRevLett.130.026101 0031-9007 https://hdl.handle.net/10356/169405 10.1103/PhysRevLett.130.026101 36706409 2-s2.0-85146354874 2 130 026101-1 026101-7 en Physical Review Letters © 2023 American Physical Society. All rights reserved. This paper was published in Physical Review Letters and is made available with permission of American Physical Society. application/pdf |
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Science::Physics Acoustic Crystal PT symmetries Meng, Yan Lin, Shuxin Shi, Bin-Jie Wei, Bin Yang, Linyun Yan, Bei Zhu, Zhenxiao Xi, Xiang Wang, Yin Ge, Yong Yuan, Shou-Qi Chen, Jingming Liu, Gui-Geng Sun, Hong-Xiang Chen, Hongsheng Yang, Yihao Gao, Zhen Spinful topological phases in acoustic crystals with projective PT symmetry |
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For the classification of topological phases of matter, an important consideration is whether a system is spinless or spinful, as these two classes have distinct symmetry algebra that gives rise to fundamentally different topological phases. However, only recently has it been realized theoretically that in the presence of gauge symmetry, the algebraic structure of symmetries can be projectively represented, which possibly enables the switch between spinless and spinful topological phases. Here, we report the experimental demonstration of this idea by realizing spinful topological phases in "spinless" acoustic crystals with projective space-time inversion symmetry. In particular, we realize a one-dimensional topologically gapped phase characterized by a 2Z winding number, which features double-degenerate bands in the entire Brillouin zone and two pairs of degenerate topological boundary modes. Our Letter thus overcomes a fundamental constraint on topological phases by spin classes. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Meng, Yan Lin, Shuxin Shi, Bin-Jie Wei, Bin Yang, Linyun Yan, Bei Zhu, Zhenxiao Xi, Xiang Wang, Yin Ge, Yong Yuan, Shou-Qi Chen, Jingming Liu, Gui-Geng Sun, Hong-Xiang Chen, Hongsheng Yang, Yihao Gao, Zhen |
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Article |
author |
Meng, Yan Lin, Shuxin Shi, Bin-Jie Wei, Bin Yang, Linyun Yan, Bei Zhu, Zhenxiao Xi, Xiang Wang, Yin Ge, Yong Yuan, Shou-Qi Chen, Jingming Liu, Gui-Geng Sun, Hong-Xiang Chen, Hongsheng Yang, Yihao Gao, Zhen |
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Meng, Yan |
title |
Spinful topological phases in acoustic crystals with projective PT symmetry |
title_short |
Spinful topological phases in acoustic crystals with projective PT symmetry |
title_full |
Spinful topological phases in acoustic crystals with projective PT symmetry |
title_fullStr |
Spinful topological phases in acoustic crystals with projective PT symmetry |
title_full_unstemmed |
Spinful topological phases in acoustic crystals with projective PT symmetry |
title_sort |
spinful topological phases in acoustic crystals with projective pt symmetry |
publishDate |
2023 |
url |
https://hdl.handle.net/10356/169405 |
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1773551342758920192 |