Solitons in the presence of a static spin vacancy on a 2D Heisenberg antiferromagnet

Abstract We study the behavior of the Belavin–Polyakov soliton with size R localized at the origin in the presence of a static spin vacancy at distance r 0 away in a two-dimensional isotropic antiferromagnet. It is found that an effective interaction between the two defects is attractive for small distances of separation ( r 0 R ) and repulsive for large separations ( r 0 > R ). For the case in which the spin vacancy is located at the soliton center ( r 0 =0), we found that, besides the Belavin–Polyakov soliton, another different type of soliton is possible and its configuration, energy and size were obtained analytically.