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Related papers: Zero-Temperature Critical Phenomena in Two-Dimensi…

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We investigate zero and finite temperature properties of the one-dimensional spin-glass model for vector spins in the limit of an infinite number m of spin components where the interactions decay with a power, \sigma, of the distance. A…

Disordered Systems and Neural Networks · Physics 2012-07-27 Frank Beyer , Martin Weigel , M. A. Moore

We consider the spin glass model in which the number of spin components, m, is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. W. Lee , A. Dhar , A. P. Young

We demonstrate numerically that for Ising spins on square lattices with ferromagnetic second neighbour interactions and random near neighbour interactions, two dimensional Ising spin glass order with a non-zero freezing temperature can…

Condensed Matter · Physics 2009-10-28 N. Lemke , I. A. Campbell

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

Statistical Mechanics · Physics 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

We consider the energy difference restricted to a finite volume for certain pairs of incongruent ground states (if they exist) in the d-dimensional Edwards-Anderson (EA) Ising spin glass at zero temperature. We prove that the variance of…

Mathematical Physics · Physics 2016-05-04 L. -P. Arguin , C. M. Newman , D. L. Stein , J. Wehr

Results from Monte Carlo simulations of the two-dimensional gauge glass supporting a zero-temperature transition are presented. A finite-size scaling analysis of the correlation length shows that the system does not exhibit spin-glass order…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

We study large-scale, low-energy excitations in the Ising spin glass with Gaussian interactions in two-dimensions at zero temperature, using an optimization algorithm to determine exact ground states. Periodic boundary conditions are…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. K. Hartmann , A. P. Young

Recent work on the zero temperature phases and phase transitions of strongly random electronic system is reviewed. The transition between the spin glass and quantum paramagnet is examined, for both metallic and insulating systems. Insight…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read

We recently showed that the two-dimensional Ising spin glass allows for a line of renormalization group fixed points which explains properties observed in numerical studies. We observe that this exact result corresponds to enhancement to a…

Statistical Mechanics · Physics 2026-04-15 Gesualdo Delfino

We extend the standard droplet scaling theory for isothermal aging in spin glasses assuming that the effective stiffness constant of droplets as large as extended defects is vanishingly small. A novel dynamical order parameter and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hajime Yoshino , Koji Hukushima , Hajime Takayama

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

For many real spin-glass materials, the Edwards-Anderson model with continuous-symmetry spins is more realistic than the rather better understood Ising variant. In principle, the nature of an occurring spin-glass phase in such systems might…

Disordered Systems and Neural Networks · Physics 2008-04-28 Martin Weigel , Michel J. P. Gingras

In the three-dimensional Heisenberg spin glass in a random field we study the properties of the inherent structures that are obtained by an instantaneous cooling from infinite temperature. For not too large field the density of states…

Disordered Systems and Neural Networks · Physics 2015-12-29 Marco Baity-Jesi , Victor Martin-Mayor , Giorgio Parisi , Sergio Perez-Gaviro

For Gaussian Spin Glasses in low dimensions, we introduce a simple Strong Disorder renormalization procedure at zero temperature. In each disordered sample, the difference between the ground states associated to Periodic and Anti-Periodic…

Disordered Systems and Neural Networks · Physics 2016-01-06 Cecile Monthus

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

A unique analytical result for the Migdal-Kadanoff hierarchical lattice is obtained. The scaling of the defect energy for a zero-dimensional spin glass is derived for a bond distribution that is continuous at the origin. The value of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Stefan Boettcher

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

A new approach to determine the value of the zero-temperature thermal exponent theta in spin glasses is presented. It consists in describing the energy level spectrum in spin glasses only in terms of the properties of the lowest energy…

Condensed Matter · Physics 2007-05-23 Picco Marco , Ritort Felix , Sales Marta

An approximate method is proposed for investigating complex-temperature properties of real-dimensional spin-glass models. The method uses the complex-temperature data of the ferromagnetic model on the same lattice. The universality line in…

Statistical Mechanics · Physics 2009-10-31 D. B. Saakian , E. E. Vogel

A detailed investigation of lowest excitations in two-dimensional Gaussian spin glasses is presented. We show the existence of a new zero-temperature exponent lambda describing the relative number of finite-volume excitations with respect…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. Picco , F. Ritort , M. Sales