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Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to N, the number of spins. We find that at the critical…

Statistical Mechanics · Physics 2014-10-15 Louis Colonna-Romano , Harvey Gould , W. Klein

We study a model thin film containing diluted bilayer structure with the RKKY long-range interaction. The magnetic subsystem is composed of two magnetically doped layers, separated by an undoped nonmagnetic spacer and placed inside a wider…

Materials Science · Physics 2015-05-13 Karol Szałowski , Tadeusz Balcerzak

The critical regime of the charge exchange (CE) manganite spin glass Eu_{0.5}Ba_{0.5}MnO_{3} is investigated using linear and non linear magnetic susceptibility and the divergence of the third ordered susceptibility (chi{_3}) signifying the…

Strongly Correlated Electrons · Physics 2008-03-05 Sunil Nair , A. K. Nigam

The critical exponents for $T\to0$ of the two-dimensional Ising spin glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to $L=50$ and by a Monte Carlo study of a pseudo-ferromagnetic…

Condensed Matter · Physics 2009-10-28 H. Rieger , L. Santen , U. Blasum , M. Diehl , M. Jünger

We perform the high-performance computation of the ferromagnetic Ising model on the pyrochlore lattice. We determine the critical temperature accurately based on the finite-size scaling of the Binder ratio. Comparing with the data on the…

Computational Physics · Physics 2017-02-03 Konstantin Soldatov , Konstantin Nefedev , Yukihiro Komura , Yutaka Okabe

The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

Metallic discs engineered on the 100 nm scale have an internal magnetic texture which varies from a fully magnetized state to a vortex state with zero moment. The interplay between this internal structure and the inter-disc interactions is…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Björn Erik Skovdal , Gunnar K. Pálsson , P. C. W. Holdsworth , Björgvin Hjörvarsson

Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in presence of a confining magnetic field which varies with distance $|{\vec x}|$ to a "trap center", proportionally to $(|{\vec x}|/\ell)^p$, $p>0$. On a…

Statistical Mechanics · Physics 2010-05-28 S. L. A. de Queiroz , R. R. dos Santos , R. B. Stinchcombe

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

Disordered Systems and Neural Networks · Physics 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

A new finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature of anisotropic two-layer Ising ferromagnet, on strips of r wide sites of square lattices. The reduced internal energy…

Statistical Mechanics · Physics 2007-05-23 M. Ghaemi , M. Ghannadi , B. Mirza

Exchange coupling between magnetic grains is essential for maintaining the stability of stored information in magnetic recording media. Using an atomistic spin model, we have investigated the coupling between neighbouring magnetic grains…

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order.…

Statistical Mechanics · Physics 2009-10-30 Jian-Sheng Wang , Chee Kwan Gan

Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with $L\times L\times R$ sites are studied. In particular, magnetization profiles perpendicular to the flat…

Statistical Mechanics · Physics 2020-12-01 Walter Selke

In this work, we study the critical behavior of second order points and specifically of the Lifshitz point (LP) of a three-dimensional Ising model with axial competing interactions (ANNNI model), using time-dependent Monte Carlo…

Statistical Mechanics · Physics 2016-12-28 Roberto da Silva , Nelson Alves , J. R. Drugowich de Felício

Two-spin correlations generated by interactions which decay with distance r as r^{-1-sigma} with -1 <sigma <0 are calculated for periodic Ising chains of length L. Mean-field theory indicates that the correlations, C(r,L), diminish in the…

Condensed Matter · Physics 2009-10-28 B. Bergersen , Z. Racz , H. -J. Xu

The quasi-one-dimensional Ising spin chain system $\alpha$-CoV$_2$O$_6$ is considered to exhibit fascinating magnetic properties at lower temperatures. We comprehensively study magnetic properties and lattice dynamics using a combination of…

The Ising antiferromagnet on a face-centered cubic (fcc) lattice with nearest-neighbor interaction only is well known to exhibit a macroscopic (exponential in the system size $L$) ground-state degeneracy. With increasing temperature, this…

Statistical Mechanics · Physics 2018-12-05 Ronja Stübel , Wolfhard Janke

The longitudinal interlayer magnetoresistance $R_{zz}(B_{z})$ is calculated in strongly anisotropic layered metals, when the interlayer band width $4t_{z}$ is less than the Landau level separation $\hbar \omega_{c}$. The impurity scattering…

Strongly Correlated Electrons · Physics 2013-10-29 P. D. Grigoriev

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

The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induce anisotropic scaling. The…

Statistical Mechanics · Physics 2009-10-28 B. Berche , P. E. Berche , M. Henkel , F. Igloi , P. Lajko , S. Morgan , L. Turban