Abstract
The self-consistent harmonic approximation is used to study a dilute planar rotator model in two dimensions. The Kosterlitz–Thouless transition temperature is obtained as a function of p, where p is the concentration of links. The phase transition in the system is deduced from a deviation of the power law describing the decay of the phase correlation function and from a jump in the helicity modulus. Better results are obtained when vortex corrections are included.
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