Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid

Wang, Wenlong; Díaz-Méndez, Rogelio; Wallin, Mats; Lidmar, Jack; Babaev, Egor

doi:10.1103/physreve.99.042140

Cited by 12 publications

(14 citation statements)

References 53 publications

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“…It has been found the two algorithms are quite similar in efficiency in both equilibrium samplings [18] and optimizations [20]. Here and in our recent work on two-dimensional monodisperse particles [29], where frustration is either fully absent or much weaker, we find that PT has an advantage over PA for studying phase transitions.…”

Section: Efficiency Of Pa and Ptsupporting

confidence: 61%

Three-dimensional universality class of the Ising model with power-law correlated critical disorder

et al. 2019

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We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes are reasonably well established, the predicted exponents are controversial. We propose a method of growing such correlated disorder using the three-dimensional Ising model as benchmark systems both for generating disorder and studying the resulting phase transition. Critical equilibrium configurations of a disorder-free system are used to define the two-value distributed random bonds with a small power-law exponent given by the pure Ising exponent. Finite-size scaling analysis shows a new universality class with a single phase transition, but the critical exponents ν d = 1.13(5), η d = 0.48(3) differ significantly from theoretical predictions. We find that depending on details of the disorder generation, disorder-averaged quantities can develop peaks at two temperatures for finite sizes. Finally, a layer model with the two values of bonds spatially separated to halves of the system genuinely has multiple phase transitions and thermodynamic properties can be flexibly tuned by adjusting the model parameters.

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Section: Efficiency Of Pa and Ptsupporting

confidence: 61%

Three-dimensional universality class of the Ising model with power-law correlated critical disorder

et al. 2019

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“…At some special regions, of course, coexistence between states with occupancy number n and n + 1 exists, but only in these regions the occupancy number varies continuously between n and n + 1. While this fact have been already observed in a number of large scale simulations, it is generally considered that the presence of hopping between neighboring clusters justifies the consideration that n and consequently k 0 are variational parameters [19][20][21]. In this work we consider otherwise and make a complete analysis of the ground-state phase diagram indicating the regions corresponding to the different clusters phases.…”

Section: Methodsmentioning

confidence: 82%

“…Additionally let us note that n (ρ 0 ) can be calculated using the obtained result for ∆ n ( Ũ ) in Eq. (21).…”

Section: B Extension Of the Ssc Regionmentioning

confidence: 99%

Ground state phase diagram of ultrasoft bosons

Mendoza-Coto,

Caetano,

Díaz-Méndez

2020

Preprint

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In 2D bosonic systems ultra-soft interactions develop an interesting phenomenology that ultimately leads to the appearance of supersolid phases in free space conditions. While suggested in early theoretical works and despite many further analytical efforts, the appearance of these exotic phases as well as the detailed shape of the ground-state phase diagrams have not been established yet. Here we develop a variational mean-field calculation for a generic quantum system with clusterforming interactions. We show that by including the restriction of a fixed integer number of particles per cluster the ground-state phase diagram can be obtained in great detail. The latter includes the determination of coexistence regimes of crystals of different occupancy as well as crystals with superfluid phases. To illustrate the application of the method we consider an ultrasoft potential for which the computational phase diagram is known. Our results show very good quantitative agreement with the simulations and suggest that the solid-superfluid coexistence could be a reliable marker to locate supersolidity.

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“…The cluster crystal phase obtained with soft-core interactions and in the presence of a confining mechanism has been already studied in 27 in the passive case. The hexagonal pattern is stable if the cross-section of the channel is larger than the typical interaction length of the soft-core potential, L / R ≫ 1, a regime which will be considered hereafter.…”

Section: Active Cluster Crystal In a Channelmentioning

confidence: 99%

A comparative study between two models of active cluster crystals

Caprini

Hernández-Garcı́a

López

et al. 2019

Sci Rep

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We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and Ornstein-Uhlenbeck particles (AOUP) - and focus on analogies and differences between them. We study the different phases appearing in the system, in particular, the formation of ordered patterns drifting in space without being altered. We develop an effective description which captures some properties of the stable clusters for both ABP and AOUP. As an additional point, we confine such a system in a large channel, in order to study the interplay between the cluster crystal phase and the well-known accumulation near the walls, a phenomenology typical of active particles. For small activities, we find clusters attached to the walls and deformed, while for large values of the active force they collapse in stripes parallel to the walls.

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Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid

Cited by 12 publications

References 53 publications

Three-dimensional universality class of the Ising model with power-law correlated critical disorder

Three-dimensional universality class of the Ising model with power-law correlated critical disorder

Ground state phase diagram of ultrasoft bosons

A comparative study between two models of active cluster crystals

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