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Theory of defect states in the two-dimensional planar rotator model with long-range interaction

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  • Holz, A.

Abstract

The interaction law for defect states of the vortex-pair type in the planar rotator model with long-range interaction 1rα and 2⩽α⩽4, is derived. It is shown that the constituents of a vortex-pair do not interact via a log r law as it is the case for the short-range interaction but are more tightly bound. Furthermore the concept of the state of excitation of a vortex-pair is developed. The consequences of this theory for the character of the phase transition in these models is discussed.

Suggested Citation

  • Holz, A., 1980. "Theory of defect states in the two-dimensional planar rotator model with long-range interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(2), pages 255-280.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:2:p:255-280
    DOI: 10.1016/0378-4371(80)90135-1
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