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

A. Holz

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 2, 255-280

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.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:2:p:255-280

DOI: 10.1016/0378-4371(80)90135-1

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