Scaling theory of Ising spin glasses

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Abstract
A phenomenological renormalisation-group model is proposed for Ising-like spin glasses. The model parameters are a typical interaction strength and a typical energy barrier for block spins. The energy barrier is found to be a function of length scale with the largest barrier at the correlation length. The system equilibration time varies at tau T varies as exp(V/T) or faster depending on dimensionality. For short times t< tau T the system is hysteretic and the noise spectrum is approximately 1/f. A two-level model with distributed level separations and barrier heights is derived.

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