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Related papers: Short Range Ising Spin Glasses: a critical exponen…

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A new analysis is given of numerical simulation data on the archetype square lattice Ising Spin Glasses (ISG) with a bimodal ($\pm J$) and Gaussian interaction distributions. It is well established that the ordering temperature of both…

Disordered Systems and Neural Networks · Physics 2016-02-15 P. H. Lundow , I. A. Campbell

The classical transverse field Ising spin- glass model with short-range interactions is investigated beyond the mean- field approximation for a real d- dimensional lattice. We use an appropriate nontrivial modification of the Bethe- Peierls…

Disordered Systems and Neural Networks · Physics 2009-10-31 K Walasek , K Lukierska- Walasek , L De Cesare , I Rabuffo

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

Exploiting an approach due to Singh and Fisher I show that in the high dimension limit the ordering temperature of near neighbour Ising Spin Glasses drops linearly with the kurtosis of the interaction distribution, in excellent agreement…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. A. Campbell

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems of square geometry with…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

We use Monte Carlo (MC) methods to simulate a two-dimensional (2D) bond-diluted Ising model on the square lattice which has frustration between the nearest-neighbor interaction J1 and the next-nearest-neighbor interaction J2. In this paper,…

Statistical Mechanics · Physics 2018-06-27 Yining Xu , Dao-Xin Yao

We study an effective spin model derived perturbatively from random transverse-field Ising model on the pyrochlore lattice. The model consists of spin-configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins…

Strongly Correlated Electrons · Physics 2020-05-27 Anirudha Menon , Tom Pardini , Rajiv R. P. Singh

Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the…

Disordered Systems and Neural Networks · Physics 2019-05-07 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of…

High Energy Physics - Theory · Physics 2015-06-19 Ferdinando Gliozzi , Antonio Rago

Analytic phenomenological scaling is carried out for the random field Ising model in general dimensions using a bar geometry. Domain wall configurations and their decorated profiles and associated wandering and other exponents…

Condensed Matter · Physics 2009-10-28 R. B. Stinchcombe , E. D. Moore , S. L. A. de Queiroz

Two versions of the M-p-spin glass model have been studied with the Migdal-Kadanoff renormalization group approximation. The model with p=3 and M=3 has at mean-field level the ideal glass transition at the Kauzmann temperature and at lower…

Disordered Systems and Neural Networks · Physics 2012-11-20 Joonhyun Yeo , M. A. Moore

The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^{2}$. To obtain the minimum energy state we annealed the system using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2017-05-29 Preeti Bhandari , Vikas Malik , Syed Rashid Ahmad

The asymptotical behavior of physical quantities, like the order parameter, the replicon and longitudinal masses, is studied around the zero-field spin glass transition point when a small external magnetic field is applied. An effective…

Disordered Systems and Neural Networks · Physics 2017-07-19 Tamás Temesvári

Non-equilibrium dynamics of three dimensional model spin glasses - the Ising system Fe$_{0.50}$Mn$_{0.50}$TiO$_3$ and the Heisenberg like system Ag(11 at% Mn) - has been investigated by measurements of the isothermal time decay of the low…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. E. Jönsson , H. Yoshino , P. Nordblad , H. Aruga Katori , A. Ito

We determined the critical exponent $\nu$ of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an…

High Energy Physics - Theory · Physics 2013-05-30 S. Nagy

We study numerically the scaling correction to the internal energy per spin as a function of system size and temperature in a variety of Ising and vector spin glasses. From a standard scaling analysis we estimate the effective size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , I. A. Campbell

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the…

Disordered Systems and Neural Networks · Physics 2007-07-04 Thomas Jorg

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

Statistical Mechanics · Physics 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

Using quantum Monte Carlo simulations and field-theory arguments, we study the fully frustrated (Villain) transverse-field Ising model on the square lattice. We consider a "primary" spin order parameter and a "secondary" dimer order…

Strongly Correlated Electrons · Physics 2024-06-11 Gabe Schumm , Hui Shao , Wenan Guo , Frédéric Mila , Anders W. Sandvik