Orientation dependence of surface critical phenomena in antiferromagnets: exact results in two dimensions.
Phys Rev Lett 85:12 (2000) 2541-2544
Abstract:
For an Ising antiferromagnet, we analyze exact expressions for the one- and two-point correlation functions for spins on the edge of a square lattice with a magnetic field applied to the surface sites. Two different edge orientations, with respect to the crystal axes, are treated. At bulk criticality, we confirm that the surface universality class depends on the edge orientation and show the importance of having the bulk phase in a pure state. For the two-point function, we find a singularity in the correlation length due to depinning effects which we argue is also present in higher dimensions.Correlation functions in an exactly solvable terrace-ledge-kink model
NUCLEAR PHYSICS B 556:3 (1999) 411-444
Path-Summation Representations in Planar Uniaxial Ferromagnets.
Phys Rev Lett 77:1 (1996) 171-174
Correlation functions in a corner-shaped Ising model.
Phys Rev Lett 76:25 (1996) 4813-4816
Exact results for the corner of an Ising ferromagnet
NUCL PHYS B (1996) 74-80