Introduction of spin disorder by exchange defects

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Abstract
Individual negative bonds are introduced in an XY spin system on a square lattice with otherwise nearest-neighbor ferromagnetic interactions. Using a mean-field theory we have found better than 5% agreement between numerical calculations and a continuum theory for this discrete system. In addition, preliminary studies of the interaction of two negative bonds have been made. A continuum theory indicates a dipolelike interaction, some of whose features have been observed in the calculations. Our results are relevant to alloying-induced spin disorder, where defects which individually are not strong enough to disorder the host system can, through a long-range dipolar interaction, interact to produce noncollinearity in the spin system.