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The surface critical behavior of semi-infinite  (a) binary alloys with a continuous order-disorder transition and  (b) Ising antiferromagnets in the presence of a magnetic field is considered.In contrast to ferromagnets, the surface universality class of these systemsdepends on the orientation of the surface with respect to the crystal axes.There is ordinary and extraordinary surface critical behavior for orientationsthat preserve and break the two-sublattice symmetry, respectively. This isconfirmed by transfer-matrix calculations for the two-dimensionalantiferromagnet and other evidence.Comment: Final version that appeared in PRL, some minor stylistic changes and  one corrected formula; 4 pp., twocolumn, REVTeX, 3 eps fig

Surface Critical Behavior of Binary Alloys and Antiferromagnets: Dependence of the Universality Class on Surface Orientation