The vortex state of an antiferromagnet with uniaxial anisotropy

For the model of an antiferromagnet with easy-axis anisotropy, we have determined the multisoliton state that corresponds to the domain boundary on the surface of which antiferromagnetic vortices of various topological charges are localized. We analyze the pattern of interaction between the vortices. We show that repulsive and attractive forces equivalent to the forces of electrostatic interaction between point charges in a plane act between the vortices with like and unlike topological charges, respectively. However, there is a steady state in this case, since these vortices in the model of a uniaxial antiferromagnet have an infinite effective mass and do not change their relative positions. We give a general solution that describes the vortex structures on the surface of the domain boundary. (C) 2005 Pleiades Publishing, Inc.