The authors calculate numerically by a transfer-matrix algorithm the critical exponent of the surface order parameter, β s , for the case of the ordinary transition. Their result, β s /ν = 0.98 ± 0.02, agrees with recently published series expansion results, β s /ν = 1.04 ± 0.05 and ε-expansion results with Pade approximants, β s /ν = 1.01 ± 0.06.
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Hansen et al. (1989) studied this question.
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