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We present an extensive numerical study of the critical behavior of dimer models in three dimensions, focusing on the phase transition between Coulomb and crystalline columnar phases. The case of attractive interactions between parallel…

Strongly Correlated Electrons · Physics 2015-03-17 D. Charrier , F. Alet

The three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions…

Statistical Mechanics · Physics 2008-09-12 Gregoire Misguich , Vincent Pasquier , Fabien Alet

Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by…

Statistical Mechanics · Physics 2009-11-11 Fabien Alet , Gregoire Misguich , Vincent Pasquier , Roderich Moessner , Jesper Lykke Jacobsen

Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase…

Statistical Mechanics · Physics 2009-07-17 Gang Chen , Jan Gukelberger , Simon Trebst , Fabien Alet , Leon Balents

We study the phase transition between the high temperature Coulomb phase and the low temperature staggered crystal phase in three dimensional classical O(N) spin-ice model. Compared with the previously proposed CP(1) formalism on the…

Statistical Mechanics · Physics 2015-05-14 Cenke Xu

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

The classical cubic-lattice dimer model undergoes an unconventional transition between a columnar crystal and a dimer liquid, in the same universality class as the deconfined quantum critical point in spin-1/2 antiferromagnets but with very…

Statistical Mechanics · Physics 2019-03-04 G. J. Sreejith , Stephen Powell , Adam Nahum

We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a…

Statistical Mechanics · Physics 2014-01-14 G. J. Sreejith , Stephen Powell

We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number…

Statistical Mechanics · Physics 2007-12-20 F. Trousselet , P. Pujol , F. Alet , D. Poilblanc

We study the ground-state properties of a system of dimers. Each dimer consists in a pair of equivalent charges at a fixed distance, immersed in a neutralizing homogeneous background. All charges interact pairwisely by Coulomb potential.…

Statistical Mechanics · Physics 2018-01-11 Igor Travěnec , Ladislav Šamaj

We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel…

Strongly Correlated Electrons · Physics 2007-10-25 Stefanos Papanikolaou , Erik Luijten , Eduardo Fradkin

Topological insulator (TI) is an exciting discovery because of its robustness against disorder and interactions. Recently, higher-order TIs have been attracting increasing attention, because they host 1D topologically-protected hinge states…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Peng-Lu Zhao , Xiao-Bin Qiang , Hai-Zhou Lu , X. C. Xie

We analyze the nucleation of supersolid order out of the superfluid ground state of bosons on the triangular lattice. While the stability of supersolidity against phase separation in this system is by now well established for…

Quantum Gases · Physics 2012-01-20 Lars Bonnes , Stefan Wessel

We study the fully-packed dimer model on the bilayer square lattice with fugacity equal to $z$ ($1$) for inter-layer (intra-layer) dimers, and intra-layer interaction $V$ between neighbouring parallel dimers on any elementary plaquette in…

Statistical Mechanics · Physics 2021-05-05 Nisheeta Desai , Sumiran Pujari , K. Damle

The coil-globule transition of an isolated polymer has been well established to be a second-order phase transition described by a standard tricritical O(0) field theory. We provide compelling evidence from Monte Carlo simulations in four…

Statistical Mechanics · Physics 2009-10-31 A. L. Owczarek , T. Prellberg

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

Statistical Mechanics · Physics 2020-11-23 Neil Wilkins , Stephen Powell

We study the transition between a Coulomb phase and a dimer crystal observed in numerical simulations of the three-dimensional classical dimer model, by mapping it to a quantum model of bosons in two dimensions. The quantum phase transition…

Statistical Mechanics · Physics 2009-10-16 Stephen Powell , J. T. Chalker

We present a detailed study of a model of close-packed dimers on the square lattice with an interaction between nearest-neighbor dimers. The interaction favors parallel alignment of dimers, resulting in a low-temperature crystalline phase.…

Statistical Mechanics · Physics 2009-11-11 Fabien Alet , Yacine Ikhlef , Jesper Lykke Jacobsen , Gregoire Misguich , Vincent Pasquier

We discuss phase transitions and the phase diagram of a classical dimer model with anisotropic interactions defined on a square lattice. For the attractive region, the perturbation of the orientational order parameter introduced by the…

Statistical Mechanics · Physics 2009-08-04 Hiromi Otsuka

We demonstrate that the phase transition from columnar-hexagonal liquid crystal to hexagonal-crystalline solid falls into an unusual universality class, which in three-dimensional allows for both discontinuous transitions as well as…

Soft Condensed Matter · Physics 2009-11-13 Gregory M. Grason
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