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Related papers: Disorder chaos in spin glasses

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Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

Disordered Systems and Neural Networks · Physics 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee

We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Marinari , Giorgio Parisi

An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then…

Disordered Systems and Neural Networks · Physics 2020-01-22 L. -P. Arguin , C. M. Newman , D. L. Stein

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to treat systems with up to 600 spins. We perform a statistical…

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

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

We revisit the metastability properties of the mixed p-spin spherical disordered models. Firstly, using known methods, we show that there is temperature chaos in a broad range of temperatures. Secondly, we modify the definition of the…

Disordered Systems and Neural Networks · Physics 2020-08-26 Damien Barbier , Leticia Cugliandolo

Broken-symmetry-induced order parameters account for many phenomena in condensed matter physics. For spin glasses, such a framework dictates its theoretical construction, whereas experiments have only established dynamical behaviors such as…

Disordered Systems and Neural Networks · Physics 2026-05-25 Margarita G. Dronova , Feng Ye , Zachary J. Morgan , Yishu Wang , Yejun Feng

It is proven rigorously that the ground state in the Edwards-Anderson spin glass model is unique in any dimension for almost all continuous random exchange interactions under a condition that a single spin breaks the global ${\mathbb Z}_2$…

Disordered Systems and Neural Networks · Physics 2021-05-20 C. Itoi

We identify simple mechanisms that prevents the onset of disorder chaos for the Ising spin glass model on $\mathbb Z^d$. This was first shown by Chatterjee in the case of Gaussian couplings. We present three proofs of the theorem for…

Probability · Mathematics 2019-09-24 Louis-Pierre Arguin , Jack Hanson

In a recent breakthrough [arXiv:2301.04112], Chatterjee proved site disorder chaos in the Edwards-Anderson (EA) short-range spin glass model utilizing the Hermite spectral method. In this paper, we demonstrate the further usefulness of this…

Probability · Mathematics 2025-04-09 Wei-Kuo Chen , Heejune Kim , Arnab Sen

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo

We study the Gibbs measure of mixed spherical $p$-spin glass models at low temperature, in (part of) the 1-RSB regime, including, in particular, models close to pure in an appropriate sense. We show that the Gibbs measure concentrates on…

Probability · Mathematics 2018-04-30 Gérard Ben Arous , Eliran Subag , Ofer Zeitouni

Extensive experimental and numerical studies of the non-equilibrium dynamics of spin glasses subjected to temperature or bond perturbations have been performed to investigate chaos and memory effects in selected spin glass systems.…

Materials Science · Physics 2015-06-24 P. E. Jönsson , R. Mathieu , P. Nordblad , H. Yoshino , H. Aruga Katori , A. Ito

The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical…

Disordered Systems and Neural Networks · Physics 2012-10-29 B. Yucesoy , Helmut G. Katzgraber , J. Machta

Disordered systems are an important class of models in statistical mechanics, having the defining characteristic that the energy landscape is a fixed realization of a random field. Examples include various models of glasses and polymers.…

Probability · Mathematics 2008-12-16 Sourav Chatterjee

We propose a new Ising spin glass model on $Z^d$ of Edwards-Anderson type, but with highly disordered coupling magnitudes, in which a greedy algorithm for producing ground states is exact. We find that the procedure for determining…

adap-org · Physics 2015-06-30 C. M. Newman , D. L. Stein

A disordered system is denominated `annealed' when the interactions themselves may evolve and adjust their values to lower the free energy. The opposite (`quenched') situation when disorder is fixed, is the one relevant for physical…

Disordered Systems and Neural Networks · Physics 2022-03-09 Laura Foini , Jorge Kurchan

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

Statistical Mechanics · Physics 2015-03-19 Robert L. Jack , Ludovic Berthier

We study the geometrical structure of the states in the low temperature phase of a mean field model for generalized spin glasses, the p-spin spherical model. This structure cannot be revealed by the standard methods, mainly due to the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Andrea Cavagna , Irene Giardina , Giorgio Parisi