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We study the crossover from classical to quantum phase transitions at zero temperature within the framework of $\phi^4$ theory. The classical transition at zero temperature can be described by the Landau theory, turning into a quantum Ising…

The edge-cubic spin model on square lattice is studied via Monte Carlo simulation with cluster algorithm. By cooling the system, we found two successive symmetry breakings, i.e., the breakdown of $O_h$ into the group of $C_{3h}$ which then…

Statistical Mechanics · Physics 2009-11-13 Tasrief Surungan , Naoki Kawashima , Yutaka Okabe

We investigate the proposal that for weakly coupled two-dimensional magnets the transition temperature scales with a critical exponent which is equivalent to that of the susceptibility in the underlying two-dimensional model, $ \gamma $.…

Statistical Mechanics · Physics 2020-02-19 Jordan C. Moodie , Manjinder Kainth , Matthew R. Robson , M. W. Long

A quantum critical point is approached by applying pressure in a number of magnetic metals. The observed dependence of Tc on pressure necessarily means that the magnetic energy is coupled to the lattice. A first order phase transition…

Strongly Correlated Electrons · Physics 2009-11-13 G. A. Gehring

We investigate the behavior of the Ising model on two connected Barabasi-Albert scale-free networks. We extend previous analysis and show that a first order temperature-driven phase transition occurs in such system. The transition between…

Disordered Systems and Neural Networks · Physics 2008-02-12 Krzysztof Suchecki , Janusz A. Holyst

We show in this paper the results on the phase transition of the so-called fully frustrated simple cubic lattice with the Ising spin model. We use here the Monte Carlo method with the flat energy-histogram Wang-Landau technique which is…

Statistical Mechanics · Physics 2015-05-20 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

A mechanism generating a $\lambda$-type behavior in the specific heat of a Bose gas near the critical temperature $T_c$ is discussed. It is shown to work for a general class of quasiparticle spectra, and especially, for the Bogoliubov's…

Condensed Matter · Physics 2016-08-15 I. Cabrera , H. Perez Rojas

We study in this paper the phase transition in superlattices formed by alternate magnetic and ferroelectric layers, by the use of Monte Carlo simulation. We study effects of temperature, external magnetic and electric fields,…

Statistical Mechanics · Physics 2019-02-20 Ildus F. Sharafullin , M. Kh. Kharrasov , H. T. Diep

The lattice Ginzburg-Landau model in d=3 and d=2 is simulated, for different values of the coherence length $\xi$ in units of the lattice spacing $a$, using a Monte Carlo method. The energy, specific heat, vortex density $v$, helicity…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

In this paper the phase structure of the massive $\lambda \phi^4$ model at finite temperature ($T \neq 0$) is investigated by applying a resummation method inspired by the renormalization-group (RG) improvement to the one-loop effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

Condensed Matter · Physics 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

Soft Condensed Matter · Physics 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

We study the $2$-component $\phi^4$ model on the simple cubic lattice in the presence of a cubic, or equivalently, a $\mathbb{D}_4$ invariant perturbation. To this end, we perform Monte Carlo simulations in conjunction with a finite size…

Statistical Mechanics · Physics 2025-10-23 Martin Hasenbusch

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

Lattice dynamical methods used to predict phase transformations in crystals typically deal with harmonic phonon spectra and are therefore not applicable in important situations where one of the competing crystal structures is unstable in…

Statistical Mechanics · Physics 2015-05-27 Petros Souvatzis , Sergiu Arapan , Olle Eriksson , Mikhail Katsnelson

It is known that fixed boundary conditions modify the leading finite-size corrections for an L^3 lattice in 3d at a first-order phase transition from 1/L^3 to 1/L. We note that an exponential low-temperature phase degeneracy of the form…

Statistical Mechanics · Physics 2014-12-17 Marco Mueller , Wolfhard Janke , Desmond A. Johnston

Phase diagram and pattern formation in two-dimensional Ising model with coupling between order parameter and lattice vibrations is investigated by Monte-Carlo simulations. It is shown that if the coupling is strong enough (or phonons are…

Statistical Mechanics · Physics 2011-11-10 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

We compute the leading and next--to--leading corrections to the finite temperature scalar potential for a 3+1 dimensional $\phi^4$ theory using a systematic $1/N$ expansion. Our approach automatically avoids problems associated with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain

A model of charged hole-pair bosons, with long range Coulomb interactions and very weak interlayer coupling, is used to calculate the order parameter -Phi- of underdoped cuprates. Model parameters are extracted from experimental superfluid…

Superconductivity · Physics 2010-01-12 Alexander Mihlin , Assa Auerbach

We use quantum Monte Carlo simulations to determine the finite temperature phase diagram and to investigate the thermal and quantum melting of stripe phases in a two-dimensional hard-core boson model. At half filling and low temperatures…

Superconductivity · Physics 2007-05-23 Guido Schmid , Matthias Troyer