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Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

Mesoscale and Nanoscale Physics · Physics 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

A cluster Monte Carlo method for systems of classical spins with purely dipolar couplings is presented. It is tested and applied for finite arrays of perpendicular Ising dipoles on the triangular lattice. This model is a modification with…

Statistical Mechanics · Physics 2009-11-07 Ulrich K. Roessler

We perform numerical simulations to study static and dynamic critical behaviour of the 3d random-site Ising model. A distinct feature of our approach is a combination of the Metropolis, Swendsen-Wang, and Wolff Monte Carlo algorithms. For…

Disordered Systems and Neural Networks · Physics 2009-04-03 D. Ivaneyko , J. Ilnytskyi , B. Berche , Yu. Holovatch

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

The magnetocaloric properties of the Ising binary alloys composed of arbitrary spin values, have been determined by using effective field theory. For determining the efficiency of the magnetocaloric effect in binary alloy, the quantities of…

Statistical Mechanics · Physics 2021-02-03 Ümit Akıncı

We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range part of…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. G. Katzgraber , A. P. Young

We investigate a two-dimensional Ising model with long-range interactions that emerge from a generalization of the magnetic dipolar interaction in spin systems with in-plane spin orientation. This interaction is, in general, anisotropic…

Statistical Mechanics · Physics 2009-11-10 Daniel Grüneberg , Alfred Hucht

The generalized Fisher super-exchange antiferromagnetic model with uniaxial crystal-field anisotropy is exactly investigated using an extended mapping technique. An exact relation between partition function of the studied system and that…

Statistical Mechanics · Physics 2007-05-23 Lucia Canova , Michal Jascur

Monte Carlo simulations of the magnetization temperature dependence in $D\times L$ nanotubes (periodic lateral boundary conditions) and nanostrips (free lateral boundary conditions) with $D$=8, 16, 32, 64$\ll L\longrightarrow 5000$ have…

Statistical Mechanics · Physics 2007-05-23 Carlos Garcia , M. Felisa Martinez , Julio A. Gonzalo

Magnetic properties of the intermetallic compound NdCo$_2$Si$_2$ are investigated by using the Monte Carlo simulation (MCs) under Metropolis algorithm. The magnetism of the compound is caused by the existence of the rare earth (Nd3+) ions…

Materials Science · Physics 2019-12-10 R. Khalladi , S. Idrissi , S. Mtougui , I. El Housni , S. Ziti , H. Labrim , N. El Mekkaoui , L. Bahmad

Extensive Monte Carlo simulations are employed in order to study the dynamic critical behavior of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form $\frac{1}{r^{d+\sigma}}$, with…

Statistical Mechanics · Physics 2011-04-15 D. E. Rodriguez , M. A. Bab , E. V. Albano

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models…

Condensed Matter · Physics 2009-10-31 V. Yu. Irkhin , A. A. Katanin

We consider the effects of the magnetic field on the frustrated phase states of the dilute Ising chain, especially, the behavior of the magnetic entropy change and the isentropic dependence of the temperature on the magnetic field, which…

Statistical Mechanics · Physics 2023-01-30 A. V. Shadrin , Yu. D. Panov

We study low temperature properties in the metallic magnets, considering the itinerant electron mediated ferromagnetism. Applying the Monte Carlo simulations to the extended double exchange model, we discuss reorientation phase transition…

Strongly Correlated Electrons · Physics 2019-06-06 Y. Taguchi , J. Nasu , A. Koga , T. Yoshioka , H. Tsuchiura

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

Statistical Mechanics · Physics 2020-12-09 A. Krawiecki

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

Statistical Mechanics · Physics 2011-07-21 Muktish Acharyya

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

Disordered Systems and Neural Networks · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field $H$. The model consists of ferromagnetic interaction $J_{x}(J_{z})$ in the $x(z)$…

Statistical Mechanics · Physics 2012-06-29 Octavio D. R. Salmon , Minos A. Neto , J. Roberto Viana , Igor T. Padilha , J. R. de Sousa

We show that addition of Metropolis single spin-flips to the Wolff cluster flipping Monte Carlo procedure leads to a dramatic {\bf increase} in performance for the spin-1/2 Ising model. We also show that adding Wolff cluster flipping to the…

Statistical Mechanics · Physics 2009-11-07 J. A. Plascak , Alan M. Ferrenberg , D. P. Landau

Monte Carlo simulations are carried out on the (3+1)-dimensional Z(2) anisotropic lattice model, and a new method to simulate extremely anisotropic lattice systems with discrete symmetries is proposed. Dependence of the temporal and spatial…

High Energy Physics - Lattice · Physics 2015-06-25 L. A. Averchenkova , V. K. Petrov