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Title: Self-assembly of isostatic self-dual colloidal crystals
Authors: Lei, Qun-Li
Zheng, Wei
Tang, Feng
Wan, Xiangang
Ni, Ran
Ma, Yu-Qiang
Keywords: Engineering::Chemical engineering
Issue Date: 2021
Source: 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-.
Project: MOE2019-T2-2-010
RG104/17 (S)
NTU-SUG: M4081781.120
Journal: Physical Review Letters
Abstract: 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.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.127.018001
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SCBE Journal Articles

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