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Related papers: Universality in short-range Ising spin glasses

200 papers

We study a model for a quantum Ising spin glass in two space dimensions by Monte Carlo simulations. In the disordered phase at $T=0$, we find power law distributions of the local susceptibility and local non-linear susceptibility, which are…

Condensed Matter · Physics 2009-10-28 H. Rieger , A. P. Young

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

Statistical Mechanics · Physics 2011-07-19 M. -A. Lewis , P. Simon

Using the dedicated computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to…

The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest…

High Energy Physics - Theory · Physics 2019-01-25 Connor Behan

The mixed spin-1/2 and spin-3/2 Ising model on the union jack lattice is solved by establishing a mapping correspondence with the eight-vertex model. It is shown that the model under investigation becomes exactly soluble as a free-fermion…

Statistical Mechanics · Physics 2015-06-25 Jozef Strecka

The $N$-color Ashkin-Teller model corresponds to $N$ Ising models coupled by four-spin interactions. We consider the two-dimensional case in presence of quenched disorder and use scale invariant scattering theory to determine all the…

Statistical Mechanics · Physics 2026-05-29 Youssef Makoudi , Gesualdo Delfino

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

We derive the exact actions of the $Q$-state Potts model valid on any graph, first for the spin degrees of freedom, and second for the Fortuin-Kasteleyn clusters. In both cases the field is a traceless $Q$-component scalar field…

High Energy Physics - Theory · Physics 2024-09-20 Kay Joerg Wiese , Jesper Lykke Jacobsen

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

We study analytically the equilibrium properties of the spherical hierarchical model in the presence of random fields. The expression for the critical line separating a paramagnetic from a ferromagnetic phase is derived. The critical…

Disordered Systems and Neural Networks · Physics 2014-11-18 Fernando L. Metz , Jacopo Rocchi , Pierfrancesco Urbani

Using Monte Carlo simulations, we study in detail the overlap distribution for individual samples for several spin-glass models including the infinite-range Sherrington-Kirkpatrick model, short-range Edwards-Anderson models in three and…

Disordered Systems and Neural Networks · Physics 2014-10-29 Matthew Wittmann , B. Yucesoy , Helmut G. Katzgraber , J. Machta , A. P. Young

Plastically deforming crystals exhibit scale-free fluctuations that are similar to those observed in driven disordered elastic systems close to depinning, but the nature of the yielding critical point is still debated. Here, we study the…

Statistical Mechanics · Physics 2018-01-03 Markus Ovaska , Arttu Lehtinen , Mikko J. Alava , Lasse Laurson , Stefano Zapperi

The gauge glass in dimensions 3 and 4 is studied using a variety of numerical methods, in order to obtain accurate and reliable values for the critical parameters. Detailed comparisons are made of the sensitivity of the different techniques…

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

We study the critical properties of the spin-continuous $S^{4}$ system on the typical translational invariant triangular lattices by combining the recently-developed generalized Migdal-Kadanoff bond-moving recursion procedures with the…

Statistics Theory · Mathematics 2012-08-27 Chun-Yang Wang , Wen-Xian Yang , Hong Du

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

In realistic spinglasses, such as CuMn, AuFe and EuSrS, magnetic atoms are located at random positions. Their couplings are determined by their relative positions. For such systems a field theory is formulated. In certain limits it reduces…

Disordered Systems and Neural Networks · Physics 2009-10-31 Th. M. Nieuwenhuizen , C. N. A. van Duin

The static critical phenomenology near the Curie temperature of the re-entrant metallic alloys Au_0.81Fe_0.19, Ni_0.78Mn_0.22, Ni_0.79Mn_0.21 and amorphous a-Fe_0.98Zr_0.08 is studied using a variety of experimental techniques and methods…

Strongly Correlated Electrons · Physics 2015-05-13 Claudia M. Haetinger , Luis Ghivelder , Jacob Schaf , Paulo Pureur

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

We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter $\sigma$, this model interpolates between the mean field Sherrington-Kirkpatrick model and…

Disordered Systems and Neural Networks · Physics 2015-07-31 Alain Billoire

We present a numerical study of an Ising spin glass with hierarchical interactions - the hierarchical Edwards-Anderson model with an external magnetic field (HEA). We study the model with Monte Carlo (MC) simulations in the mean-field (MF)…

Disordered Systems and Neural Networks · Physics 2015-03-10 Michele Castellana , Giorgio Parisi