On the structure of correlations in the three dimensional spin glasses

Abstract

We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation functions between two local overlaps decay as a power whose exponent is independent of $Q$ for all $0\le |Q|<q_{EA}$. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter.

5 pages, 5 figures

References in corpus (6)

• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• Ultrametricity in the Edwards-Anderson Model
• Overlap Equivalence in the Edwards-Anderson Model
• Replica field theory and renormalization group for the Ising spin glass in an external magnetic field
• Spatial correlation functions in 3-d Ising spin glasses
• On the Tail of the Overlap Probability Distribution in the Sherrington--Kirkpatrick Model

Cited by in corpus (9)

• Nature of the spin-glass phase at experimental length scales
• Static versus dynamic heterogeneities in the D = 3 Edwards-Anderson-Ising spin glass
• Dimensional crossover in the aging dynamics of spin glasses in a film geometry
• Role of the Tracy-Widom distribution in the finite-size fluctuations of the critical temperature of the Sherrington-Kirkpatrick spin glass
• Stochastic Stability: a Review and Some Perspectives
• Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
• Large random correlations in individual mean field spin glass samples
• The ground state energy per site of the quantum and classical Edwards-Anderson spin-glass model in the thermodynamic limit
• The perturbative structure of spin glass field theory