Role of local assembly in the hierarchical crystallization of associating colloidal hard hemispheres

Lei, Qun-Li; Hadinoto, Kunn; Ni, Ran

doi:10.1103/physrevmaterials.1.052601

Cited by 3 publications

(3 citation statements)

References 37 publications

(42 reference statements)

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“…ρ ¼ N=A is the 2D density, with A the 2D area. We perform Monte Carlo simulations of the system with full periodic boundary conditions [28,33,34]. The details of the simulation can be found in the Supplemental Material [35].…”

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confidence: 99%

Self-Assembly of Isostatic Self-Dual Colloidal Crystals

et al. 2021

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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.

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confidence: 99%

Self-Assembly of Isostatic Self-Dual Colloidal Crystals

et al. 2021

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“…We define the dimensionless temperature as T * = k B T /ε, where k B and T are Boltzmann’s constant and system temperature, respectively. We perform Monte Carlo simulations of the system under periodic boundary condition. ,, The codes of simulation is self-built based on classical Metropolis algorithms . Since the rods are perfectly aligned, only 2D rotational or translational motions are allowed in the simulation.…”

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confidence: 99%

“…We perform Monte Carlo simulations of the system under periodic boundary condition. 33,61,62 The codes of simulation is self-built based on classical Metropolis algorithms. 63 Since the rods are perfectly aligned, only 2D rotational or translational motions are allowed in the simulation.…”

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confidence: 99%

Transformable Superisostatic Crystals Self-Assembled from Segment Colloidal Rods

Hu,

Wang,

Lei

et al. 2024

ACS Nano

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Transformable mechanical structures can switch between distinct mechanical states. Whether this kind of structure can be self-assembled from simple building blocks at microscale is a question to be answered. In this work, we propose a self-assembly strategy for these structures based on a nematic monolayer of segmented colloidal rods with lateral cutting. By using Monte Carlo simulation, we find that rods with different cutting degrees can self-assemble into different crystals characterized by bond coordination z that varies from 3 to 6. Among these, we identify a transformable superisostatic structure with pgg symmetry and redundant bonds (z = 5). We show that this structure can support either soft bulk modes or soft edge modes depending on its Poisson's ratio, which can be tuned from positive to negative through a uniform soft deformation. We also prove that the bulk soft modes are associated with states of self-stress along the direction of zero strain during uniform soft deformation. The self-assembled transformable structures may act as mechanical metamaterials with potential applications in micromechanical engineering.

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