Monte Carlo Simulation of 2D Ising Spin Glass with Power Law Decaying Interactions

摘要

We study the distance dependent interaction coupling in 2D in order to show how a spin glass phase transition occurs when couplings between far away spins are permitted by considering the Edwards-Anderson Ising spin glass model. The interaction coupling is a quenched random variable whose probability of being non-zero decays with distance between two spin sites (p(J_(ij)) ∝ r_(ij)~(-ρ)). We study the model by changing ρ in three different regimes (ρ > 2D, 4/3D < ρ < 2D, ρ < 4/3 D). We obtain a phase transition temperature for ρ = 2, 3, 4.