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The problem of critical behaviour of three dimensional random anisotropy magnets, which constitute a wide class of disordered magnets is considered. Previous results obtained in experiments, by Monte Carlo simulations and within different…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Dudka , R. Folk , Yu. Holovatch

Magnetization processes of the spin-1/2 antiferromagnetic $XXZ$ model in two and three spatial dimensions are studied using quantum Monte Carlo method based on stochastic series expansions. Recently developed operator-loop algorithm enables…

Strongly Correlated Electrons · Physics 2009-11-07 Seiji Yunoki

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

Statistical Mechanics · Physics 2018-12-24 Milan Žukovič

Mixed-order phase transitions display a discontinuity in the order parameter like first-order transitions yet feature critical behavior like second-order transitions. Such transitions have been predicted for a broad range of equilibrium and…

Statistical Mechanics · Physics 2017-12-07 Ricard Alert , Pietro Tierno , Jaume Casademunt

In this work, we revisited the Ziff-Gulari-Barshad (ZGB) model to study its phase transitions and critical exponents through time-dependent Monte Carlo simulations. We used a method proposed recently to locate the non-equilibrium…

Statistical Mechanics · Physics 2016-08-31 Henrique A. Fernandes , Roberto da Silva , Eder D. Santos , Paulo F. Gomes , Everaldo Arashiro

It is shown that the phase transition in low-T_c clean itinerant ferromagnets is generically of first order, due to correlation effects that lead to a nonanalytic term in the free energy. A tricritical point separates the line of first…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , Thomas Vojta

The order of the superconducting phase transition is a classical problem. Single-component type-2 superconductors exhibit a continuous "inverted-XY" phase transition, as was first demonstrated for U(1) lattice London superconductors by a…

Superconductivity · Physics 2016-03-03 Karl A. H. Sellin , Egor Babaev

We investigate the one-dimensional finite-size XY model with opposing surface fields in the X direction. Exact solutions are obtained for the two-site and three-site models, while numerical methods are employed for models with more than…

Statistical Mechanics · Physics 2023-11-03 Xintian Wu

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

Superconductivity · Physics 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

High Energy Physics - Phenomenology · Physics 2009-10-22 John March-Russell

We use extensive Monte Carlo transfer matrix calculations on infinite strips of widths $L$ up to 30 lattice spacing and a finite-size scaling analysis to obtain critical exponents and conformal anomaly number $c$ for the two-dimensional…

Condensed Matter · Physics 2009-10-28 M. P. Nightingale , E. Granato , J. M. Kosterlitz

We use Quantum Monte Carlo method employing stochastic-series-expansion technique to study the ground state properties of the $t_2-V_1$ model on a square lattice. We find that, away from half-fillings, the minimal combination of…

Strongly Correlated Electrons · Physics 2020-02-05 Amrita Ghosh , Satyaki Kar , Sudhakar Yarlagadda

Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak first order phase transitions. Moreover, the…

Statistical Mechanics · Physics 2009-11-10 B. Delamotte , D. Mouhanna , M. Tissier

Monte Carlo simulations are used to examine cooperative creation of polar state in fluids of two-state particles with nonzero dipole in the excited state. With lowering temperature such systems undergo a second order transition from…

Soft Condensed Matter · Physics 2009-11-11 Dmitry V. Matyushov , Andriy Okhrimovskyy

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize…

Statistical Mechanics · Physics 2010-10-14 L. G. López , D. H. Linares , A. J. Ramirez-Pastor , S. A. Cannas

Many experimental studies, over the past two decades, have constantly reported a novel critical behavior for the transition from Smectic-A phase of liquid crystals to Hexatic-B phase with non-XY critical exponents. However according to…

Soft Condensed Matter · Physics 2007-05-23 Rasool ghanbari , Farhad Shahbazi

The magnetic behaviors of a spin-1/2 alternating Heisenberg antiferromagnetic chain in a staggered transverse magnetic field is studied by means of the density-matrix renormalization group method and Jordan-Wigner transformation. Quantum…

Strongly Correlated Electrons · Physics 2009-04-07 Guang-Qiang Zhong , Shou-Shu Gong , Qing-Rong Zheng , Gang Su

Using Monte Carlo techniques, we study a simple model which exhibits a competition between superconductivity and other types of order in two dimensions. The model is a site-diluted XY model, in which the XY spins are mobile, and also…

Superconductivity · Physics 2009-11-11 Daniel Valdez-Balderas , David Stroud

The dynamical triangulation model of three-dimensional quantum gravity is shown to have a line of transitions in an expanded phase diagram which includes a coupling mu to the order of the vertices. Monte Carlo renormalization group and…

High Energy Physics - Lattice · Physics 2009-10-30 Ray L. Renken , Simon M. Catterall , John B. Kogut

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche
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