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We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that…

Statistical Mechanics · Physics 2013-06-25 Milan Žukovič , Andrej Bobák

Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor…

Statistical Mechanics · Physics 2011-10-03 S. L. A. de Queiroz

We analyze recent experiments on the dilute rare-earth compound LiHo_xY_(1-x)F_4 in the context of an effective Ising dipolar model. Using a Monte Carlo method we calculate the low-temperature behavior of the specific heat and linear…

Statistical Mechanics · Physics 2008-10-27 A. Biltmo , P. Henelius

In this paper we demonstrate the application of high magnetic fields to study the magnetic properties of low dimensional spin systems. We present a case study on the series of 2-leg spin-ladder compounds…

The magnetic behavior of molecular Single-Chain Magnets is investigated in the framework of a one-dimensional Ising model with single spin-flip Glauber dynamics. Opportune modifications to the original theory are required in order to…

Materials Science · Physics 2011-04-21 Alessandro Vindigni , Maria Gloria Pini

We consider in parallel three one-dimensional spin models with kinetic constraints: the paramagnetic constrained Ising chain, the ferromagnetic Ising chain with constrained Glauber dynamics, and the same chain with constrained Kawasaki…

Statistical Mechanics · Physics 2009-11-07 G. De Smedt , C. Godreche , J. M. Luck

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

The one dimensional (1D) spin-1/2 Heisenberg-Ising model, a prototype quantum many-body system, has been intensively studied for many years. In this review, after a short introduction on some basic concepts of group theory for the…

Strongly Correlated Electrons · Physics 2023-01-18 Jiahao Yang , Xiao Wang , Jianda Wu

We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder represents a relevant perturbation according to the extended…

Statistical Mechanics · Physics 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

The field-cooled (FC) process on an Ising spin-glass model is investigated by a standard Monte Calro (MC) method on one hand, and the equilibrium magnetization of the same system is evaluated by the exchang MC method on the other hand. The…

Disordered Systems and Neural Networks · Physics 2015-06-25 Hajime Takayama , Koji Hukushima

Recently experimental techniques, such as magnetic force microscopy (MFM), have enabled the magnetic state of individual sub-micron particles to be resolved. Motivated by these experimental developments, we use Monte Carlo simulations of…

Condensed Matter · Physics 2009-10-28 Howard L. Richards , Scott W. Sides , Mark A. Novotny , Per Arne Rikvold

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

We study a geometrically frustrated triangular Ising antiferromagnet in an external magnetic field which is selectively diluted with nonmagnetic impurities employing an effective-field theory with correlations and Monte Carlo simulations.…

Statistical Mechanics · Physics 2012-12-24 M. Borovský , M. Žukovič , A. Bobák

We discuss the origin of an enigmatic low-temperature behavior of one-dimensional decorated spin systems which was coined the pseudo-transition. Tracing out the decorated parts results in the standard Ising-chain model with…

Statistical Mechanics · Physics 2021-05-07 Taras Krokhmalskii , Taras Hutak , Onofre Rojas , Sergio Martins de Souza , Oleg Derzhko

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 have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also…

High Energy Physics - Lattice · Physics 2009-10-22 J. Wosiek

Ferroelectric Ising chain magnet Ca$_3$Co$_{2-x}$Mn$_x$O$_6$ ($x\simeq$0.96) was studied in magnetic fields up to 33 T. Magnetization and neutron scattering measurements reveal successive metamagnetic transitions from the zero-field…

Strongly Correlated Electrons · Physics 2009-11-13 Y. J. Jo , Seongsu Lee , E. S. Choi , H. T. Yi , W. Ratcliff , Y. J. Choi , V. Kiryukhin , S. W. Cheong , L. Balicas

In this work, Monte Carlo simulation was implemented to study the phase diagrams and magnetic properties of a mixed spin (1-1/2-1) three-layer system with a cubic structure. In particular, the effects of the exchange and coupling parameters…

Statistical Mechanics · Physics 2022-03-02 Maen Gharaibeh , Ahmad Al-Qawasmeh , Abdalla Obeidat , Sufian Abedrabbo