Ground-state energy and entropy of the two-dimensional Edwards-Anderson spin-glass model with different bond distributions

Abstract

We study the two-dimensional Edwards-Anderson spin-glass model using a parallel tempering Monte Carlo algorithm. The ground-state energy and entropy are calculated for different bond distributions. In particular, the entropy is obtained by using a thermodynamic integration technique and an appropriate reference state, which is determined with the method of high-temperature expansion. This strategy provide accurate values of this quantity for finite-size lattices. By extrapolating to the thermodynamic limit, the ground-state energy and entropy of the different versions of the spin-glass model are determined.

18 pages, 5 figures

References in corpus (3)

• Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte Carlo
• Energy size effects of two-dimensional Ising spin glasses
• Fractal dimension of domain walls in the Edwards-Anderson spin glass model

Cited by in corpus (4)

• Domain-wall excitations in the two-dimensional Ising spin glass
• Spin Glass in the Bond-Diluted J1-J2 Ising Model on the Square Lattice
• Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: Strong heterogeneities and the backbone picture
• Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings