2022
DOI: 10.1103/physreve.105.044104
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Triangles on a triangular lattice: Insights into self-assembly in two dimensions driven by shape complementarity

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Cited by 5 publications
(9 citation statements)
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“…The 1-NN model shows a single continuous transition, belonging to the Ising universality class, from a fluid to a sublattice-ordered phase. The 2-NN model shows a first-order transition, while the 3-NN model, surprisingly, does not undergo any transition [49,50]. The 4-NN model shows a single continuous phase transition that belongs to the three-state Potts model.…”
Section: Introductionmentioning
confidence: 91%
See 2 more Smart Citations
“…The 1-NN model shows a single continuous transition, belonging to the Ising universality class, from a fluid to a sublattice-ordered phase. The 2-NN model shows a first-order transition, while the 3-NN model, surprisingly, does not undergo any transition [49,50]. The 4-NN model shows a single continuous phase transition that belongs to the three-state Potts model.…”
Section: Introductionmentioning
confidence: 91%
“…On the honeycomb lattice, the model has been studied for k 5 [49][50][51]. The 1-NN model shows a single continuous transition, belonging to the Ising universality class, from a fluid to a sublattice-ordered phase.…”
Section: Introductionmentioning
confidence: 99%
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“…In the first approximation, the outcome of self-assembly of equilibrium nanostructures is determined by the shape of the building blocks-molecules and nanoparticles [1][2][3][4]. The self-assembly of 'rigid' particles is primarily influenced by the entropy contribution and usually leads to the formation of dense structures [5][6][7][8][9][10]. The functionalization of organic molecules [11][12][13][14] and colloidal particles [2,[15][16][17][18][19][20] introduces specific lateral interactions, leading to more complex and not close-packed phases.…”
Section: Introductionmentioning
confidence: 99%
“…To date, the phase behavior of monolayers of rigid noninteracting particles of various shapes has been extensively studied. Among them are disks [22][23][24][25][26][27][28][29], triangles [10,[30][31][32], squares [33][34][35][36][37][38][39][40], and others.…”
Section: Introductionmentioning
confidence: 99%