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A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new groundstate in addition to the checkerboard groundstates of the standard 2D FFXY model. The spin configuration of this additional groundstate is obtained. Associated…

Statistical Mechanics · Physics 2008-11-25 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

We investigate the phase diagram and, in particular, the nature of the the multicritical point in three-dimensional frustrated $N$-component spin models with noncollinear order in the presence of an external field, for instance easy-axis…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We study the critical properties of three dimensional frustrated magnets, diluted with non-magnetic impurities. We show that these systems exhibit a second order phase transition, corresponding to a new universality class. In the pure case,…

Statistical Mechanics · Physics 2007-05-23 Matthieu Tissier

We present the first example of a phase transition in a nonequilibrium steady-state that can be argued analytically to be first order. The system of interest is a two-species reaction-diffusion problem whose control parameter is the total…

Statistical Mechanics · Physics 2009-09-25 K. Oerding , F. van Wijland , J. -P. Leroy , H. J. Hilhorst

The study of phase transitions in frustrated magnetic systems with $O(N)\times O(2)$ symmetry has been the subject of controversy for more than twenty years, with theoretical, numerical and experimental results in disagreement. Even…

Statistical Mechanics · Physics 2024-11-11 Carlos A. Sánchez-Villalobos , Bertrand Delamotte , Nicolás Wschebor

The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra M. Varma

The steady states of the two-species (positive and negative particles) asymmetric exclusion model of Evans, Foster, Godreche and Mukamel are studied using Monte Carlo simulations. We show that mean-field theory does not give the correct…

Statistical Mechanics · Physics 2009-10-30 Peter F. Arndt , Thomas Heinzel , Vladimir Rittenberg

Classical anisotropic XY antiferromagnets in a field on square and simple cubic lattices are studied using mainly Monte Carlo simulations. While in two dimensions the ordered antiferromagnetic and spin--flop phases are observed to be…

Statistical Mechanics · Physics 2017-04-07 W. Selke , S. Wessel

Quantum phase transitions in Mott insulators do not fit easily into the Landau-Ginzburg-Wilson paradigm. A recently proposed alternative to it is the so called deconfined quantum criticality scenario, providing a new paradigm for quantum…

Strongly Correlated Electrons · Physics 2007-05-23 S. Kragset , E. Smorgrav , J. Hove , F. S. Nogueira , A. Sudbo

The 2D RP(2) gauge model is studied using the Monte-Carlo Renormalization Group. We confirm the first-order transition reported by Solomon et al. (PL 112B, (1982)) ending in a critical point associated with vorticity. We find evidence for a…

High Energy Physics - Lattice · Physics 2009-10-30 S. M. Caterall , M. Hasenbusch , R. R. Horgan , R. L. Renken

Using Monte Carlo simulations, we systematically investigate the non-equilibrium dynamics of the chiral degree of freedom in the two-dimensional fully frustrated XY model. The critical initial increase of the staggered chiral magnetization…

Soft Condensed Matter · Physics 2009-10-31 H. J. Luo , L. Schuelke , B. Zheng

For the two dimensional classical XY model we present extensive high -temperature -phase bulk data extracted based on a novel finite size scaling (FSS) Monte Carlo technique, along with FSS data near criticality. Our data verify that…

High Energy Physics - Lattice · Physics 2009-10-28 Jae-Kwon Kim

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase…

Strongly Correlated Electrons · Physics 2009-11-11 Frank Krüger , Stefan Scheidl

We analyze the validity of perturbative renormalization group estimates obtained within the fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop beta-functions obtained within the minimal subtraction scheme…

Statistical Mechanics · Physics 2009-11-13 B. Delamotte , Yu. Holovatch , D. Ivaneyko , D. Mouhanna , M. Tissier

The three-dimensional XY model with bilinear-biquadratic exchange interactions $J$ and $J'$, respectively, has been studied by Monte Carlo simulations. From the detailed analysis of the thermal variation of various physical quantities, as…

Statistical Mechanics · Physics 2013-01-10 H. Nagata , M. Žukovič , T. Idogaki

The strength of perpendicular anisotropy is known to drive the spin reorientation in thin magnetic films. Here we consider the effect different order anisotropies have on two phase transitions; the spin reorientation transition and the…

Statistical Mechanics · Physics 2015-06-12 Matthew C. Ambrose , Robert L. Stamps

We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising like order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete $Z_2$ symmetry…

Statistical Mechanics · Physics 2009-10-31 D. Loison , P. Simon

We numerically investigate the stability of universal properties at continuous phase transitions against perturbations of the Markov Chain Monte Carlo algorithm used to simulate the system. We consider the three dimensional XY model as test…

Statistical Mechanics · Physics 2025-09-18 Matteo Bacci , Claudio Bonati

The phase transition in frustrated spin systems is a fascinated subject in statistical physics. We show the result obtained by the Wang-Landau flat histogram Monte Carlo simulation on the phase transition in the fully frustrated simple…

Statistical Mechanics · Physics 2010-12-21 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

Monte Carlo simulations are used to show that the steady state of the d=2, two-temperature, diffusive XY model displays a continuous phase transition from a homogeneous disordered phase to a phase with long-range order. The long-range order…

Condensed Matter · Physics 2009-10-28 Kevin E. Bassler , Zoltan Racz