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We determine the critical layer thickness for the appearance of misfit dislocations as a function of the misfit between the lattice constants of the substrate and the adsorbate from Kinetic Monte Carlo (KMC) simulations of heteroepitaxial…

Materials Science · Physics 2016-08-31 F. Much , M. Ahr , M. Biehl , W. Kinzel

Inspired by recent experiments on 3He films between one and two atoms thick, we consider a bilayer Hubbard model on a triangular lattice. Our results are obtained in the framework of a cluster dynamical mean-field calculation with a quantum…

Strongly Correlated Electrons · Physics 2011-04-14 K. S. D. Beach , F. F. Assaad

We investigate the first-order phase transitions of the $q$-state Potts models with $q = 5, 6, 7$, and $8$ on the two-dimensional square lattice, using Monte Carlo simulations. At the very weakly first-order transition of the $q=5$ system,…

Statistical Mechanics · Physics 2019-03-05 Shumpei Iino , Satoshi Morita , Anders W. Sandvik , Naoki Kawashima

Phase transitions in 1/4-filled quasi-one-dimensional molecular conductors are studied theoretically on the basis of extended Hubbard chains including electron-lattice interactions coupled by interchain Coulomb repulsion. We apply the…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Yukitoshi Motome , Takeo Kato

While the Hubbard model is the standard model to study Mott metal-insulator transitions, it is still unclear to which extent it can describe metal-insulator transitions in real solids, where non-local Coulomb interactions are always…

Strongly Correlated Electrons · Physics 2018-04-25 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

We study the critical dynamics of crystals which undergo a second-order phase transition from a high-temperature normal phase to a structurally incommensurate (IC) modulated phase. We give a comprehensive description of the critical…

Statistical Mechanics · Physics 2009-10-31 Bernhard A. Kaufmann , Franz Schwabl , Uwe C. T"auber

Magnetic susceptibility measurements of 3-4 ML Fe/W(001) ferromagnetic films demonstrate that this is a 2DXY system in which a finite-size Kosterlitz-Thouless (KT) transition occurs. The films are grown in ultrahigh vacuum and their…

Materials Science · Physics 2019-04-10 J. Atchison , A. Bhullar , B. Norman , D. Venus

The ground state and structure of a one-dimensional Bose gas with dipolar repulsions is investigated at zero temperature by a combined Reptation Quantum Monte Carlo (RQMC) and bosonization approach. A non trivial Luttinger-liquid behavior…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac , S. De Palo , M. -L. Chiofalo

The present paper focuses on the order-disorder transition of an Ising model on a self-similar lattice. We present a detailed numerical study, based on the Monte Carlo method in conjunction with the finite size scaling method, of the…

Condensed Matter · Physics 2009-10-31 J. M. Carmona , U. Marini Bettolo Marconi , J. J. Ruiz-Lorenzo , A. Tarancon

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 study the phase transition in a system composed of dimers interacting with each other via a nearest-neighbor (NN) exchange $J$ and competing interactions taken from a truncated dipolar coupling. Each dimer occupies a link between two…

Statistical Mechanics · Physics 2013-09-06 Danh-Tai Hoang , Hung T. Diep

This paper is the second in a pair treating a new lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (Paper I) contains a new,…

Condensed Matter · Physics 2009-10-28 John Toner , Paul E. Lammert , Daniel S. Rokhsar

The growth rates and chemical ordering of ferroelectric alloys are studied with kinetic Monte Carlo (KMC) simulations using an electrostatic model with long-range Coulomb interactions, as a function of temperature, chemical composition, and…

Materials Science · Physics 2016-08-31 Malliga Suewattana , Henry Krakauer , Shiwei Zhang

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

Jamming and percolation of square objects of size $k \times k$ ($k^2$-mers) isotropically deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The $k^2$-mers were…

Statistical Mechanics · Physics 2020-01-29 P. M. Pasinetti , P. M. Centres , A. J. Ramirez-Pastor

A model of dipolar dimer liquid (DDL) on a two-dimensional lattice has been proposed. We found that at high density and low temperature, it has a partially ordered phase which we called glacia phase. The glacia phase transition can be…

Statistical Mechanics · Physics 2019-02-26 Junyi Zhang

The critical behavior of an MN-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in…

Statistical Mechanics · Physics 2007-05-23 A. I. Mudrov , K. B. Varnashev

Gross-Neveu-Yukawa-type models such as the chiral Ising, chiral XY, and chiral Heisenberg models, serve as effective descriptions of two-dimensional Dirac semi-metals undergoing quantum phase transitions into various symmetry-broken ordered…

Strongly Correlated Electrons · Physics 2025-09-17 Mireia Tolosa-Simeón , Laura Classen , Michael M. Scherer

We investigate the irreversible growth of $(2+1)-$dimensional magnetic thin films under the influence of a transverse temperature gradient, which is maintained by thermal baths across a direction perpendicular to the direction of growth.…

Statistical Mechanics · Physics 2015-06-05 Julián Candia , Ezequiel V. Albano

We study third-order transitions in the two-dimensional Ising and Potts model on regular lattices and Watts--Strogatz small-world networks. Cluster observables are used to track post-critical boundary reorganization and pre-critical cluster…

Statistical Mechanics · Physics 2026-03-13 Fangfang Wang , Wei Liu , Ke Zhang , Yongjian He , Kai Qi , Ying Tang , Zengru Di
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