Near-Surface Long-Range Order at the Ordinary Transition

Details Near-Surface Long-Range Order at the Ordinary Transition Near-Surface Long-Range Order at the Ordinary Transition

1996-03-02

arxiv.org/abs/cond-mat/9603011v1

Phys. Rev. Lett. 77 (1996) 3645

Physics

Condensed Matter

7 pages, Revtex 3.0, 1 figure

Scientific paper

10.1103/PhysRevLett.77.3645

We study the spatial dependence of the order parameter near surfaces belonging to the universality class of the ordinary transition. Special attention is paid to the influence of a small surface magnetic field h_1 at and above the bulk critical temperature. A detailed scaling analysis (which is confirmed by a perturbative calculation) reveals that h_1 may give rise to an anomalous short-distance behavior of the order parameter. Close to the surface the magnetization increases with a power law m\sim z^{\,\kappa} with \kappa=1-\eta_{\perp}^{ord} \simeq 0.23 for the three-dimensional Ising model. These results are closely related to experimental findings where exponents of the ordinary transition were observed in Fe_3 Al, while superstructure reflections revealed the existence of long-range order near the surface [X. Mail\"ander et al., Phys. Rev. Lett. {\bf 64}, 2527 (1990)].

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