English
Related papers

Related papers: Equilibrium avalanches in spin glasses

200 papers

We investigate the structural, magnetic, and thermodynamic properties of \BSCO\ ($x$ = 0.04, $\delta$ = 0.54), a hexagonal perovskite featuring face-sharing CoO$_6$ octahedra that forms Co dimers. DC and AC magnetization measurements reveal…

Strongly Correlated Electrons · Physics 2025-08-15 Anzar Ali , Guratinder Kaur , Lukas Keller , Masahiko Isobe

We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica…

Disordered Systems and Neural Networks · Physics 2009-04-30 D. B. Liarte , S. R. Salinas , C. S. O. Yokoi

We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with $1/r^6$ power-law interactions and positional disorder. Using the semi-classical discrete truncated Wigner approximation (dTWA) method, we investigate…

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and…

Disordered Systems and Neural Networks · Physics 2015-05-20 Creighton K. Thomas , David A. Huse , A. Alan Middleton

We first review, following our earlier studies, the critical behavior of the quantum Sherrington-Kirkpatrick (SK) model at finite as well as at zero temperatures. Through the analysis of the Binder cumulant we determined the entire phase…

Statistical Mechanics · Physics 2019-03-08 Sudip Mukherjee , Bikas K Chakrabarti

We discuss the problem of static chaos in spin glasses. In the case of magnetic field perturbations, we propose a scaling theory for the spin-glass phase. Using the mean-field approach we argue that some pure states are suppressed by the…

Condensed Matter · Physics 2009-10-22 Felix Ritort

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

Condensed Matter · Physics 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

Following an original idea of F. Guerra, in this notes we analyze the Sherrington-Kirkpatrick model from different perspectives, all sharing the underlying approach which consists in linking the resolution of the statistical mechanics of…

Disordered Systems and Neural Networks · Physics 2013-04-10 Adriano Barra , Gino Del Ferraro , Daniele Tantari

In a recent work (Eissfeller and Opper, 1992) a numerical method has been proposed to simulate off-equilibrium zero-temperature parallel dynamics for the SK model without finite size effects. We study the extension of the method to non-zero…

Condensed Matter · Physics 2007-05-23 Giovanni Ferraro

The Ghatak-Sherrington (GS) spin glass model is a random probability measure defined on the configuration space $\{0,\pm1,\pm2,\ldots, \pm \mathcal{S} \}^N$ with system size $N$ and $\mathcal{S}\ge1$ finite. This generalizes the classical…

Probability · Mathematics 2024-04-03 Yueqi Sheng , Qiang Wu

We consider quantum rotors or Ising spins in a transverse field on a $d$-dimensional lattice, with random, frustrating, short-range, exchange interactions. The quantum dynamics are associated with a finite moment of inertia for the rotors,…

Condensed Matter · Physics 2009-10-22 N. Read , S. Sachdev , J. Ye

We construct the first complete exact numerical solution of a mean field quantum spin glass model, the transverse field Sherrington-Kirkpatrick model, by implementing a continuous-time quantum Monte Carlo method in the presence of full…

Disordered Systems and Neural Networks · Physics 2025-04-08 Annamária Kiss , Gergely Zaránd , Izabella Lovas

We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional $\pm J$ model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michiko Yamana , Hidetoshi Nishimori , Tadashi Kadowaki , D. Sherrington

The interpolation techniques have become, in the past decades, a powerful approach to lighten several properties of spin glasses within a simple mathematical framework. Intrinsically, for their construction, these schemes were naturally…

Disordered Systems and Neural Networks · Physics 2015-10-27 Adriano Barra , Francesco Guerra , Emanuele Mingione

We investigated the nature of the magnetic phase transition in the Ge/1-x-y/Sn/x/Mn/y/Te mixed crystals with chemical composition changing in the range of 0.083 < x < 0.142 and 0.012 < y < 0.119. The DC magnetization measurements performed…

Materials Science · Physics 2012-03-15 L. Kilanski , R. Szymczak , W. Dobrowolski , K. Szałowski , V. E. Slynko , E. I. Slynko

This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions,…

Materials Science · Physics 2009-09-29 James P. Sethna , Karin A. Dahmen , Olga Perkovic

Simulations are used to determine the effect of inertia on athermal shear of a two-dimensional binary Lennard-Jones glass. In the quasistatic limit, shear occurs through a series of rapid avalanches. The distribution of avalanches is…

Soft Condensed Matter · Physics 2013-09-04 K. Michael Salerno , Craig E. Maloney , Mark O. Robbins

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

We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum…

Condensed Matter · Physics 2009-01-23 Jinwu Ye , Subir Sachdev , N. Read

We study the chaotic behavior of the Gibbs state of spin-glasses under the application of an external magnetic field, in the crossover region where the field intensity scales proportional to $1/\sqrt{N}$, being $N$ the system size. We show…