Near-surface long-range order at the ordinary transition

We study the spatial dependence of the order parameter m(z) near surface that reduces the tendency to order. Using scaling arguments and perturbative methods (epsilon expansion), we find that for T greater than or equal to T-c(b) a small surface magnetic field hi gives rise to a macroscopic length scale and an anomalous short-distance increase of m(z), governed by the power law m similar to z(K) (with K = 1 - eta(perpendicular to)(ord) similar or equal to 0.21 for the d = 3 Ising model). This result is related to experiments where exponents of the ordinary transition were observed in Fe(3)AI, while superstructure reflections revealed the existence of long-range order near the surface.