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We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices within the critical region at zero magnetic field, as well as at finite magnetic field on the critical isotherm and for several fixed couplings in the…

High Energy Physics - Lattice · Physics 2009-11-10 Sven Holtmann , Thomas Schulze

We present results from the simulation of a two-coupling spin-1 model with states 0,+1,-1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our…

Statistical Mechanics · Physics 2007-05-23 M. Hasenbusch , K. Pinn , S. Vinti

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…

Statistical Mechanics · Physics 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

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…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , A. Pelissetto , E. Vicari

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…

Disordered Systems and Neural Networks · Physics 2015-04-22 P. H. Lundow , I. A. Campbell

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…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

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…

High Energy Physics - Lattice · Physics 2015-06-25 S. Holtmann , J. Engels , T. Schulze

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…

Statistical Mechanics · Physics 2007-05-23 W. Selke

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…

High Energy Physics - Lattice · Physics 2015-06-25 T. Schulze , J. Engels , S. Holtmann , T. Mendes

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

Statistical Mechanics · Physics 2016-07-26 D. A. Matoz-Fernandez , F. Roma

We reanalyze transfer matrix and Monte Carlo results for the critical Binder cumulant U* of an anisotropic two-dimensional Ising model on a square lattice in a square geometry with periodic boundary conditions. Spins are coupled between…

Statistical Mechanics · Physics 2013-04-25 Boris Kastening

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…

Statistical Mechanics · Physics 2019-10-10 P. H. Lundow , I. A. Campbell

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…

Statistical Mechanics · Physics 2009-10-31 K. Nho , E. Manousakis

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…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander K. Hartmann

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…

Strongly Correlated Electrons · Physics 2011-04-26 Ling Wang , K. S. D. Beach , Anders W. Sandvik

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…

High Energy Physics - Phenomenology · Physics 2015-09-16 Paul Springer , Bertram Klein

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

High Energy Physics - Lattice · Physics 2009-11-07 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 Goldstone modes and determine…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , S. Holtmann , T. Mendes , T. Schulze

We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our…

We determine the critical point and the ratios $\beta/\nu$ and $\gamma/\nu$ of critical exponents of the deconfinement transition in $SU(2)$ gauge theory by applying the $\chi^2$-method to Monte Carlo data of the modulus and the square of…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , S. Mashkevich , T. Scheideler , G. Zinovjev
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