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The fully frustrated $XY$ model on a square lattice is studied by means of Monte Carlo simulations. A Kosterlitz-Thouless transition is found at $T_{\rm KT} \approx 0.446$, followed by an ordinary Ising transition at a slightly higher…

凝聚态物理 · 物理学 2009-10-28 Peter Olsson

We study the phase diagram of the two-dimensional fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model, and a coupled…

统计力学 · 物理学 2011-07-19 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We study a new generalized version of the square-lattice frustrated XY model where unequal ferromagnetic and antiferromagnetic couplings are arranged in a zig-zag pattern. The ratio between the couplings $\rho$ can be used to tune the…

统计力学 · 物理学 2009-10-30 M. Benakli , E. Granato

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds…

超导电性 · 物理学 2009-11-11 Kwangmoo Kim , David Stroud

We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo…

统计力学 · 物理学 2013-05-29 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

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…

统计力学 · 物理学 2009-10-31 D. Loison , P. Simon

We find the complete phase diagram of a generalised XY model that includes half-vortices. The model possesses superfluid, pair-superfluid and disordered phases, separated by Kosterlitz-Thouless (KT) transitions for both the half-vortices…

统计力学 · 物理学 2017-11-28 Pablo Serna , J. T. Chalker , Paul Fendley

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

统计力学 · 物理学 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We show that a physical realization of the phase diagram proposed by Minnhagen et al. [Phys. Rev. B 78, 184432 (2008)] for so-called generalized fully frustrated XY model on square lattice can be achieved in arrays of SFS…

超导电性 · 物理学 2015-09-02 S. E. Korshunov

B-T phase diagram and phase transitions of interlayer Josephson vortices are investigated. For magnetic fields above a critical value, we find a Kosterlitz-Thouless (KT) type intermediate phase characterized by in-plane two-dimensional,…

超导电性 · 物理学 2007-05-23 Xiao Hu , Masashi Tachiki

The fully frustrated XY model with Villain interaction on a square lattice is studied by means of Monte Carlo simulations. On the basis of the universal jump condition it is argued that there are two distinct transitions in the model,…

凝聚态物理 · 物理学 2016-08-31 Peter Olsson

Using Monte Carlo simulations, we determine the phase diagram of a diffusive two-temperature XY model. When the two temperatures are equal the system becomes the equilibrium XY model with the continuous Kosterlitz-Thouless (KT)…

统计力学 · 物理学 2015-05-19 Matthew D. Reichl , Charo I. Del Genio , Kevin E. Bassler

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

统计力学 · 物理学 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

We consider the two-dimensional uniformly frustrated XY model in the limit of small frustration, which is equivalent to an XY system, for instance a Josephson junction array, in a weak uniform magnetic field applied along a direction…

统计力学 · 物理学 2009-11-13 Vincenzo Alba , Andrea Pelissetto , Ettore Vicari

Critical properties of a geometrically frustrated generalized $XY$ model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a…

统计力学 · 物理学 2020-09-16 M. Lach , M. Žukovič

With Monte Carlo methods we investigate the dynamic relaxation of the fully frustrated XY model in two dimensions below or at the Kosterlitz-Thouless phase transition temperature. Special attention is drawn to the sublattice structure of…

软凝聚态物质 · 物理学 2009-10-30 H. J. Luo , L. Schuelke , B. Zheng

Using Density-Matrix Renormalization Group, we investigate the general phase diagram of the frustrated two-leg ladder with Heisenberg interactions along legs, rungs and diagonals. We confirm that all antiferromagnetic gapped states belong…

强关联电子 · 物理学 2009-10-31 T. Hakobyan , J. H. Hetherington , M. Roger

We study the two-dimensional XY model with quenched random phases by Monte Carlo simulation and finite-size scaling analysis. We determine the phase diagram of the model and study its critical behavior as a function of disorder and…

无序系统与神经网络 · 物理学 2016-08-31 J. Maucourt , D. R. Grempel

We study the two-dimensional generalized XY model that depends on an integer $q$ by the Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We find a single Kosterlitz-Thouless (KT) transition for all values of…

计算物理 · 物理学 2010-12-02 Yukihiro Komura , Yutaka Okabe

We present a detailed study of the critical properties of the 2-D XY model with maximal frustration in a square lattice. We use extensive Monte Carlo simulations to study the thermodynamics of the spin and chiral degrees of freedom,…

凝聚态物理 · 物理学 2009-10-22 G. Ramirez-Santiago , Jorge V. José
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