Abstract
Using a Green's function technique combined with the transfer-matrix method for the analysis of surface phenomena, we have studied a three-dimensional Ising model in a transverse field with a modified surface exchange coupling. The surface layer-polarization exponent is obtained as β s = 0.775 ± 0.006 which is entirely different from the bulk exponent of β = 0.317 ± 0.006. The results are in agreement with those based on renormalization group arguments and on Monte-Carlo simulations.
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