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Related papers: Spin glass phase at zero temperature in the Edward…

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We consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy behaviour out of a deterministic interaction. It is shown…

Statistical Mechanics · Physics 2007-05-23 M. Degli Esposti , C. Giardina' , S. Graffi , S. Isola

We study the zero-temperature behavior of the infinite-ranged Ising spin glass in a transverse field. Using spin summation techniques and Monte Carlo methods we characterize the zero-temperature quantum transition. Our results are well…

Condensed Matter · Physics 2009-10-28 J. V. Alvarez , Felix Ritort

The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper,…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , O. C. Martin

An Ising model with random couplings on a graph is a model of a spin glass. While the mean field case of the Sherrington-Kirkpatrick model is very well studied, the more realistic lattice setting, known as the Edwards-Anderson (EA) model,…

Probability · Mathematics 2025-07-15 Mriganka Basu Roy Chowdhury , Shirshendu Ganguly

We study numerically temperature-shift and field-shift aging protocols on the 3-dimensional (3D) Ising Edwards-Anderson (EA) spin-glass (SG) model focusing on respectively the temperature-chaos nature and the stability under a static field…

Disordered Systems and Neural Networks · Physics 2016-08-31 H. Takayama

With the help of EXACT ground states obtained by a polynomial algorithm we compute the domain wall energy at zero-temperature for the bond-random and the site-random Ising spin glass model in two dimensions. We find that in both models the…

Disordered Systems and Neural Networks · Physics 2009-10-28 N. Kawashima , H. Rieger

In a previous paper (cond-mat/0106554) we showed the existence of two new zero-temperature exponents (\lambda and \theta') in two dimensional Gaussian spin glasses. Here we introduce a novel low-temperature expansion for spin glasses…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Picco , F. Ritort , M. Sales

Using information of the ground state topology and the damage spreading technique we show a Griffiths-like phase is present in the three-dimensional $\pm J$ Edwards-Anderson spin glass model. With spin-flipping dynamics damage spreads for…

Statistical Mechanics · Physics 2009-11-26 M. L. Rubio Puzzo , F. Romá , S. Bustingorry , P. M. Gleiser

We consider the Edwards-Anderson Ising spin glass model on the half-plane $Z \times Z^+$ with zero external field and a wide range of choices, including mean zero Gaussian, for the common distribution of the collection J of i.i.d. nearest…

Probability · Mathematics 2015-05-14 Louis-Pierre Arguin , Michael Damron , Charles Newman , Daniel Stein

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 report on comprehensive results identifying the ground state of a triangular-lattice structured YbZnGaO$_4$ to be spin glass, including no long-range magnetic order, prominent broad excitation continua, and absence of magnetic thermal…

We present a general and powerful numerical method useful to study the density matrix of spin models. We apply the method to finite dimensional spin glasses, and we analyze in detail the four dimensional Edwards-Anderson model with Gaussian…

Disordered Systems and Neural Networks · Physics 2009-11-07 L. Correale , E. Marinari , V. Martin-Mayor

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

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

The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin glass model on d=3 diamond hierarchical lattices is studied via an exact recursion procedure. The profiles of the local order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado , J. R. L. de Almeida

Ground states of the Edwards-Anderson (EA) spin glass model are studied on infinite graphs with finite degree. Ground states are spin configurations that locally minimize the EA Hamiltonian on each finite set of vertices. A problem with…

Probability · Mathematics 2014-02-07 Louis-Pierre Arguin , Michael Damron

As a nontrivial solid state of matter, the glassy-crystal state embraces physical features of both crystalline and amorphous solids, where a long-range ordered periodic structure formed by the mass centers of constituent molecules…

Suitable cluster definitions have allowed researchers to describe many ordering transitions in spin systems as geometric phenomena related to percolation. For spin glasses and some other systems with quenched disorder, however, such a…

Disordered Systems and Neural Networks · Physics 2023-05-04 Lambert Münster , Martin Weigel

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show…

Disordered Systems and Neural Networks · Physics 2009-11-10 Falk Scheffler , Hajime Yoshino , Philipp Maass

A spin model which exhibits glassy dynamics has been proposed by Newman and Moore. This model possesses no randomness for exchange interactions. We propose partial trace methods for obtaining static exact solutions of this model under free…

Statistical Mechanics · Physics 2012-04-24 Chiaki Yamaguchi

We derive lower bounds for the variance of the difference of energies between incongruent ground states, i.e., states with edge overlaps strictly less than one, of the Edwards-Anderson model on ${\mathbb Z}^d$. The bounds highlight a…

Probability · Mathematics 2019-05-01 L. -P. Arguin , C. M. Newman , D. L. Stein
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