Monte Carlo Study on the 2D ±J Ising Spin Glass —Dynamical Behavior of Individual Spins and Spin Clusters—

Abstract

We study the Monte Carlo simulation on the two-dimensional ±J Ising spin glass aiming to clarify the relation between behavior of individual spins and spin clusters in each sample and common spin glass properties of the system. Particularly relaxation times of individual spins are evaluated and their temperature dependences are examined. Making use of data obtained, we discuss in detail spin-freezing process in this model for spin glass. One of our most interesting findings is that spin relaxation processes at temperatures T\gtrsim0.8J obey Fulcher’s law with T₀\simeq0.5J, implying that the characteristic relaxation time of the system may diverge at T₀.