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We examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and…

无序系统与神经网络 · 物理学 2015-06-25 Theo M. Nieuwenhuizen , Felix Ritort

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

无序系统与神经网络 · 物理学 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for…

统计力学 · 物理学 2009-10-30 Erik Luijten , Henk W. J. Blöte

By using renormalization-group (RG) methods, we study a non-mean-field model of a spin glass built on a hierarchical lattice, the hierarchical Edwards-Anderson model in a magnetic field. We investigate the spin-glass transition in a field…

无序系统与神经网络 · 物理学 2015-03-03 Michele Castellana , Carlo Barbieri

Via extensive Monte Carlo studies we show that the frustrated XY Hamiltonian on a 2-D Penrose lattice admits of a spin glass phase at low temperature. Studies of the Edwards-Anderson order parameter, spin glass susceptibility, and local…

凝聚态物理 · 物理学 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

We determine accurate values of ordering temperatures and critical exponents for Ising Spin Glass transitions in dimension 4, using a combination of finite size scaling and non-equilibrium scaling techniques. We find that the exponents…

无序系统与神经网络 · 物理学 2009-10-30 L. W. Bernardi , I. A. Campbell

Extensive simulations are made on the bimodal Ising Spin Glass (ISG) in dimension four. The transition temperature is established using a combination of standard finite size scaling and of thermodynamic derivative peak data. Measurements in…

无序系统与神经网络 · 物理学 2013-10-15 P. H. Lundow , I. A. Campbell

The Ising spin-glasses are investigated on three dual pairs of hierarchical lattices, using exact renormalization-group transformation of the quenched bond probability distribution. The goal is to investigate a recent conjecture which…

无序系统与神经网络 · 物理学 2007-05-23 Michael Hinczewski , A. Nihat Berker

Replica field theory is used to study the n-dependent free energy of the Ising spin glass in a first order perturbative treatment. Large sample-to-sample deviations of the free energy from its quenched average prove to be Gaussian,…

无序系统与神经网络 · 物理学 2010-01-23 Tamas Temesvari

Here we present a new perspective to the breakdown of ferromagnetic order in two-dimensional spin-lattice models employing the rotation of the underlying lattice. Using an Ising spin system on a square lattice as a prototype, we demonstrate…

统计力学 · 物理学 2021-08-17 Claudio J DaSilva , L. S. Ferreira , A. A. Caparica

All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It…

无序系统与神经网络 · 物理学 2021-10-26 E. Can Artun , A. Nihat Berker

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

无序系统与神经网络 · 物理学 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

Phase transitions in the three-dimensional diluted Ising antiferromagnet in an applied magnetic field are analyzed numerically. It is found that random magnetic field in a system with spin concentration below a certain threshold induces a…

其他凝聚态物理 · 物理学 2009-11-11 V. V. Prudnikov , V. N. Borodikhin

We analyze the spin glass transition in a field in finite dimension $D$ below the upper critical dimension directly at zero temperature using a recently introduced perturbative loop expansion around the Bethe lattice solution. The expansion…

无序系统与神经网络 · 物理学 2026-03-26 Maria Chiara Angelini , Saverio Palazzi , Giorgio Parisi , Tommaso Rizzo

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…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

A nearest-neighbor-interaction Ising spin glass, in the presence of an external magnetic field, is studied on different hierarchical lattices that approach the cubic lattice. The magnetic field is considered as uniform, or random (following…

统计力学 · 物理学 2009-06-10 Octavio R. Salmon , Fernando D. Nobre

The stability of the spin-glass phase against a magnetic field is studied in the three and four dimensional Edwards-Anderson Ising spin glasses. Effective couplings and effective fields associated with length scale L are measured by a…

无序系统与神经网络 · 物理学 2009-11-13 M. Sasaki , K. Hukushima , H. Yoshino , H. Takayama

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

统计力学 · 物理学 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

统计力学 · 物理学 2009-11-13 N. Crokidakis , F. D. Nobre

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

无序系统与神经网络 · 物理学 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon