Abstract

The authors use the method of recurrence relations to obtain the time-dependent spin correlation function of the Ising model in a transverse field in 2D. They find that the correlation function decays algebraically at long times as t{sup {minus}{alpha}}, where {alpha} {le} 2.2. This is to be contrasted with the 1D case where the decay is Gaussian. They expect that in 3D the dynamical correlation will also exhibit a power law decay. Their results can be used to understand the experimental shape functions for the induced moment in LiTb{sub p}Y{sub 1{minus}p}F{sub 4}. 10 refs., 3 figs.

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