Surface critical behavior of bcc binary alloys

Details Surface critical behavior of bcc binary alloys Surface critical behavior of bcc binary alloys

1997-07-31

arxiv.org/abs/cond-mat/9707345v1

Phys. Rev. B 57 (1998) 1908-1921

Physics

Condensed Matter

Statistical Mechanics

16 pages, REVTeX 3.0, 13 EPSF figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.57.1908

The surface critical behavior of bcc binary alloys undergoing a continuous B2-A2 order-disorder transition is investigated in the mean-field (MF) approximation. Our main aim is to provide clear evidence for the fact that surfaces which break the two-sublattice symmetry generically display the critical behavior of the NORMAL transition, whereas symmetry-preserving surfaces exhibit ORDINARY surface critical behavior. To this end we analyze the lattice MF equations for both types of surfaces in terms of nonlinear symplectic maps and derive a Ginzburg-Landau model for the symmetry-breaking (100) surface. The crucial feature of the continuum model is the emergence of an EFFECTIVE ORDERING (``staggered'') SURFACE FIELD, which depends on temperature and the other lattice model parameters, and which explains the appearance of NORMAL critical behavior for symmetry-breaking surfaces.

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