Ground-State Properties of a Heisenberg Spin Glass Model with a Hybrid Genetic Algorithm

抄録

We developed a genetic algorithm (GA) in the Heisenberg model that combines a triadic crossover and a parameter-free genetic algorithm. Using the algorithm, we examined the ground-state stiffness of the ±J Heisenberg model in three dimensions up to a moderate size range. Results showed the stiffness constant of θ=0 in the periodic–antiperiodic boundary condition method and that of θ∼0.62 in the open-boundary-twist method. We considered the origin of the difference in θ between the two methods and suggested that both results show the same thing: the ground state of the open system is stable against a weak perturbation.