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We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices. From Binder's cumulant at vanishing magnetic field we obtain the critical coupling J_c=1.42865(5) and verify this value with the \chi^2-method. The…

高能物理 - 格点 · 物理学 2017-08-23 Sven Holtmann , Thomas Schulze

We investigate numerically the three-dimensional O(2) model on 8^3-160^3 lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization M induced by Goldstone modes and determine…

高能物理 - 格点 · 物理学 2009-10-31 J. Engels , S. Holtmann , T. Mendes , T. Schulze

We investigate numerically the three-dimensional O(2) model on 8^3-160^3 lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization M induced by the Goldstone modes and…

高能物理 - 格点 · 物理学 2009-10-31 J. Engels , S. Holtmann , T. Mendes , T. Schulze

We investigate the three-dimensional O(2) model on lattices of size 8^3 to 160^3 close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling J_c found by Ballesteros et al. and estimate there…

高能物理 - 格点 · 物理学 2015-06-25 S. Holtmann , J. Engels , T. Schulze

We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin re-orientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the…

统计力学 · 物理学 2009-10-31 K. Nho , E. Manousakis

The fourth-order cumulant of the magnetization, the Binder cumulant, is determined at the phase transition of Ising models on square and triangular lattices, using Monte Carlo techniques. Its value at criticality depends sensitively on…

统计力学 · 物理学 2007-05-23 W. Selke

We investigate the three-dimensional O(4)-model on 24^3--96^3 lattices as a function of the magnetic field H. Below the critical point, in the broken phase, we confirm explicitly the H^{1/2} dependence of the magnetization and the…

高能物理 - 格点 · 物理学 2015-06-25 Juergen Engels , Tereza Mendes

Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of…

统计力学 · 物理学 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

Simulation data are analyzed for four 3D spin-$1/2$ Ising models: on the FCC lattice, the BCC lattice, the SC lattice and the Diamond lattice. The observables studied are the susceptibility, the reduced second moment correlation length, and…

统计力学 · 物理学 2019-10-10 P. H. Lundow , I. A. Campbell

We perform high-statistics Monte Carlo simulations of three three-dimensional Ising spin-glass models: the +-J Ising model for two values of the disorder parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for bond-occupation…

无序系统与神经网络 · 物理学 2009-11-13 M. Hasenbusch , A. Pelissetto , E. Vicari

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

无序系统与神经网络 · 物理学 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We have performed Monte Carlo studies of the 3D $XY$ model with random uniaxial anisotropy, which is a model for randomly pinned spin-density waves. We study $L \times L \times L$ simple cubic lattices, using $L$ values in the range 16 to…

无序系统与神经网络 · 物理学 2009-06-25 Ronald Fisch

Large numbers of ground states of the three-dimensional $\pm J$ random-bond Ising model are calculated for sizes up to $14^3$ using a combination of a genetic algorithm and Cluster-Exact Approximation. Several quantities are calculated as…

无序系统与神经网络 · 物理学 2009-10-31 Alexander K. Hartmann

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four are studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special…

无序系统与神经网络 · 物理学 2015-04-22 P. H. Lundow , I. A. Campbell

We use quantum Monte Carlo (stochastic series expansion) and finite-size scaling to study the quantum critical points of two S=1/2 Heisenberg antiferromagnets in two dimensions: a bilayer and a Kondo-lattice-like system (incomplete…

强关联电子 · 物理学 2011-04-26 Ling Wang , K. S. D. Beach , Anders W. Sandvik

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the…

统计力学 · 物理学 2025-03-05 Francesco Parisen Toldin

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the…

高能物理 - 格点 · 物理学 2015-06-25 T. Schulze , J. Engels , S. Holtmann , T. Mendes

We analyze the universal critical behavior at the chiral critical point in QCD with three degenerate quark masses. We confirm that this critical point lies in the universality class of the three dimensional Ising model. The symmetry of the…

高能物理 - 格点 · 物理学 2015-03-19 Dominik Smith , Christian Schmidt

The exact nature of the chiral phase transition in QCD is still under investigation. In $N_f=2$ and $N_f=(2+1)$ lattice simulations with staggered fermions the expected O($N$)-scaling behavior was observed. However, it is still not clear…

高能物理 - 唯象学 · 物理学 2015-09-16 Paul Springer , Bertram Klein

We study spatial anisotropy effects on the bulk and finite-size critical behavior of the O$(n)$ symmetric anisotropic $\phi^4$ lattice model with periodic boundary conditions in a $d$-dimensional hypercubic geometry above, at and below…

统计力学 · 物理学 2009-11-13 Volker Dohm
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