Extracting thermodynamic behavior of spin glasses from the overlap function

Energy barriers of spin glasses from multi-overlap simulations

We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled through a weight factor such that a broad distribution of the Parisi overlap parameter q is achieved. Canonical expectation values for the entire q-range (multi...

Overlap Barrier Calculations for Spin Glasses

A novel method for numerical numerical spin glass investigations is described: Simulations of two replica at fixed temperature, weighted such that a broad distribution of the Parisi overlap parameter q is achieved. Canonical expectation values for the entire q-range (multi-overlap) follow by re-weighting and allow a calculation of spin glass tunneling barriers.

Thermodynamic Chaos and the Structure of Short-range Spin Glasses

New extrapolation of overlap distribution in spin glasses

– We study in d = 3 dimensions the short-range Ising spin glass with Jij = ±1 couplings and periodic boundary conditions at T = 0. We show that the overlap distribution is non-trivial in the limit of large system size. Introduction. – There has been an upsurge of interest in the Edwards-Anderson model [1] of the short-range Ising spin glass with binary couplings,

Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses.

We present a technique to generate relations connecting pure state weights, overlaps, and correlation functions in short-range spin glasses. These are obtained directly from the unperturbed Hamiltonian and hold for general coupling distributions. All are satisfied in phases with simple thermodynamic structure, such as the droplet-scaling and chaotic pairs pictures. If instead nontrivial mixed-s...