Self-assembly of isostatic self-dual colloidal crystals
Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on a nematic monolayer of attractive half-cylindrical colloids to self-assemble these exotic structures. This syst...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/153646 |
| _version_ | 1826116342988668928 |
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| author | Lei, Qun-Li Zheng, Wei Tang, Feng Wan, Xiangang Ni, Ran Ma, Yu-Qiang |
| author2 | School of Chemical and Biomedical Engineering |
| author_facet | School of Chemical and Biomedical Engineering Lei, Qun-Li Zheng, Wei Tang, Feng Wan, Xiangang Ni, Ran Ma, Yu-Qiang |
| author_sort | Lei, Qun-Li |
| collection | NTU |
| description | Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on a nematic monolayer of attractive half-cylindrical colloids to self-assemble these exotic structures. This system can be seen as a 2D system of semidisks. By using Monte Carlo simulations, we discover two isostatic self-dual crystals, i.e., an unreported crystal with pmg space-group symmetry and the twisted kagome crystal. For the pmg crystal approaching the critical point, we find the double degeneracy of the full phononic spectrum at the self-dual point and the merging of two tilted Weyl nodes into one critically tilted Dirac node. The latter is "accidentally" located on the high-symmetry line. The formation of this unconventional Dirac node is due to the emergence of the critical flatbands at the self-dual point, which are linear combinations of "finite-frequency" floppy modes. These modes can be understood as mechanically coupled self-dual rhombus chains vibrating in some unique uncoupled ways. Our work paves the way for designing and fabricating self-dual materials with exotic mechanical or phononic properties. |
| first_indexed | 2024-10-01T04:10:07Z |
| format | Journal Article |
| id | ntu-10356/153646 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:10:07Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1536462023-12-29T06:47:29Z Self-assembly of isostatic self-dual colloidal crystals Lei, Qun-Li Zheng, Wei Tang, Feng Wan, Xiangang Ni, Ran Ma, Yu-Qiang School of Chemical and Biomedical Engineering Engineering::Chemical engineering Energy Phases Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on a nematic monolayer of attractive half-cylindrical colloids to self-assemble these exotic structures. This system can be seen as a 2D system of semidisks. By using Monte Carlo simulations, we discover two isostatic self-dual crystals, i.e., an unreported crystal with pmg space-group symmetry and the twisted kagome crystal. For the pmg crystal approaching the critical point, we find the double degeneracy of the full phononic spectrum at the self-dual point and the merging of two tilted Weyl nodes into one critically tilted Dirac node. The latter is "accidentally" located on the high-symmetry line. The formation of this unconventional Dirac node is due to the emergence of the critical flatbands at the self-dual point, which are linear combinations of "finite-frequency" floppy modes. These modes can be understood as mechanically coupled self-dual rhombus chains vibrating in some unique uncoupled ways. Our work paves the way for designing and fabricating self-dual materials with exotic mechanical or phononic properties. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) Nanyang Technological University Published version This work is supported by the National Natural Science Foundation of China (Grants No. 11474155 and No. 11774147), by Singapore Ministry of Education through the Academic Research Fund MOE2019-T2-2-010 and RG104/17 (S), by Nanyang Technological University Start-Up Grant (No. NTU-SUG: M4081781.120), by the Advanced Manufacturing and Engineering Young Individual Research Grant (No. A1784C0018), and by the Science and Engineering Research Council of Agency for Science, Technology, and Research Singapore. We are grateful to the High Performance Computing Center (HPCC) of Nanjing University for supporting the numerical calculations. 2022-01-07T02:51:28Z 2022-01-07T02:51:28Z 2021 Journal Article Lei, Q., Zheng, W., Tang, F., Wan, X., Ni, R. & Ma, Y. (2021). Self-assembly of isostatic self-dual colloidal crystals. Physical Review Letters, 127(1), 018001-. https://dx.doi.org/10.1103/PhysRevLett.127.018001 0031-9007 https://hdl.handle.net/10356/153646 10.1103/PhysRevLett.127.018001 34270286 2-s2.0-85109279510 1 127 018001 en MOE2019-T2-2-010 RG104/17 (S) NTU-SUG: M4081781.120 A1784C0018 Physical Review Letters © 2021 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 |
| spellingShingle | Engineering::Chemical engineering Energy Phases Lei, Qun-Li Zheng, Wei Tang, Feng Wan, Xiangang Ni, Ran Ma, Yu-Qiang Self-assembly of isostatic self-dual colloidal crystals |
| title | Self-assembly of isostatic self-dual colloidal crystals |
| title_full | Self-assembly of isostatic self-dual colloidal crystals |
| title_fullStr | Self-assembly of isostatic self-dual colloidal crystals |
| title_full_unstemmed | Self-assembly of isostatic self-dual colloidal crystals |
| title_short | Self-assembly of isostatic self-dual colloidal crystals |
| title_sort | self assembly of isostatic self dual colloidal crystals |
| topic | Engineering::Chemical engineering Energy Phases |
| url | https://hdl.handle.net/10356/153646 |
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