A new approach to the study of the ground-state properties of 2D Ising spin glass

Abstract

A new approach known as flat histogram method is used to study the +/-J Ising spin glass in two dimensions. Temperature dependence of the energy, the entropy, and other physical quantities can be easily calculated and we give the results for the zero-temperature limit. For the ground-state energy and entropy of an infinite system size, we estimate e0 = -1.4007 +/- 0.0085 and s0 = 0.0709 +/- 0.006, respectively. Both of them agree well with previous calculations. The time to find the ground-states as well as the tunneling times of the algorithm are also reported and compared with other methods.

11 pages, 4 figures

References in corpus (6)

• Transition Matrix Monte Carlo Reweighting and Dynamics
• Broad Histogram Monte Carlo
• Is the broad histogram random walk dynamics correct?
• Monte Carlo algorithms based on the number of potential moves
• Broad Histogram Method for Multiparametric Hamiltonians
• A general learning algorithm for solving optimization problems and its application to the spin glass problem

Cited by in corpus (6)

• Transition Matrix Monte Carlo Method
• Performance Limitations of Flat Histogram Methods and Optimality of Wang-Landau Sampling
• Energy size effects of two-dimensional Ising spin glasses
• A comparison of extremal optimization with flat-histogram dynamics for finding spin-glass ground states
• Ground-state energy and entropy of the two-dimensional Edwards-Anderson spin-glass model with different bond distributions
• Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings