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Numerical data on scaling of the normalized Binder cumulant and the normalized correlation length are shown for the Thermodynamic limit regime, first for canonical Ising ferromagnet models and then for a range of Ising spin glass models. A…

Disordered Systems and Neural Networks · Physics 2016-07-15 P. H. Lundow , I. A. Campbell

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update…

Statistical Mechanics · Physics 2015-06-24 Martin Weigel , Wolfhard Janke

Ordering of the Heisenberg spin glass in four dimensions (4D) with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations, with particular attention to its spin and chiral orderings. It is found that…

Disordered Systems and Neural Networks · Physics 2015-08-18 Hikaru Kawamura , Shinichirou Nishikawa

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

We perform an accurate test of Ultrametricity in the aging dynamics of the three dimensional Edwards-Anderson spin glass. Our method consists in considering the evolution in parallel of two identical systems constrained to have fixed…

Disordered Systems and Neural Networks · Physics 2009-10-31 Silvio Franz , Federico Ricci-Tersenghi

We propose a numerical criterion which can be used to obtain accurate and reliable values of the ordering temperatures and critical exponents of spin glasses. Using this method we find an value of the ordering temperature for the $\pm J$…

Condensed Matter · Physics 2009-10-28 L. W. Bernardi , S. Prakash , I. A. Campbell

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

The fractal structure and scaling properties of a 2d slice of the 3d Ising model is studied using Monte Carlo techniques. The percolation transition of geometric spin (GS) clusters is found to occur at the Curie point, reflecting the…

Statistical Mechanics · Physics 2011-01-20 Abbas Ali Saberi , Horr Dashti-Naserabadi

The Ising spin glass model in a transverse field has a zero temperature phase transition driven solely by quantum fluctuations. This quantum phase transition occuring at a critical transverse field strength has attracted much attention…

Condensed Matter · Physics 2007-05-23 Heiko Rieger , A. Peter Young

We consider a particular 4 state spin system composed of two Ising spins (~$s_x, \; \sigma_x$~) with independent hopping parameters $\kappa_1, \kappa_2$, coupled by a bilinear Yukawa term, $y s_x \sigma_x$. The Yukawa term is solely…

High Energy Physics - Lattice · Physics 2015-06-25 R. Brower , K. Orginos , Y. Shen , C-I Tan

The behavior of two-dimensional Ising spin glasses at the multicritical point on triangular and honeycomb lattices is investigated, with the help of finite-size scaling and conformal-invariance concepts. We use transfer-matrix methods on…

Statistical Mechanics · Physics 2009-11-11 S. L. A. de Queiroz

We study the probability distribution P(M) of the order parameter (average magnetization) M, for the finite-size systems at the critical point. The systems under consideration are the 3-dimensional Ising model on a simple cubic lattice, and…

Statistical Mechanics · Physics 2009-10-31 M. M. Tsypin , H. W. J. Blöte

We study in Ising spin glasses the finite-size effects near the spin-glass transition in zero field and at the de Almeida-Thouless transition in a field by Monte Carlo methods and by analytical approximations. In zero field, the finite-size…

Disordered Systems and Neural Networks · Physics 2016-03-15 T. Aspelmeier , Helmut G. Katzgraber , Derek Larson , M. A. Moore , Matthew Wittmann , Joonhyun Yeo

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature $T_c$…

Condensed Matter · Physics 2009-10-22 Beatriz Boechat , Raimundo R. dos Santos , M. A. Continentino

In addition to the standard scaling rules relating critical exponents at second order transitions, hyperscaling rules involve the dimension of the model. It is well known that in canonical Ising models hyperscaling rules are modified above…

Disordered Systems and Neural Networks · Physics 2019-10-10 P. H. Lundow , I. A. Campbell

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied with and without randaom magnetic anisotropy by dynamical Monte Carlo simulations. In isotropic case, clear evidence of a finite-temperature…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hikaru Kawamura

In this paper we study the critical properties of a finite dimensional generalization of the p-spin model. We find evidence that in dimension three, contrary to its mean field limit, the glass transition is associated to a diverging…

Disordered Systems and Neural Networks · Physics 2009-10-31 Silvio Franz , Giorgio Parisi

We present a large-scale simulation of the three-dimensional Ising spin glass with Gaussian disorder to low temperatures and large sizes using optimized population annealing Monte Carlo. Our primary focus is investigating the number of pure…

Disordered Systems and Neural Networks · Physics 2021-01-20 Wenlong Wang , Mats Wallin , Jack Lidmar
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