| The effect of dilution on the phase transition has been extensively studied since the pioneering work by Harris. However, not so much attention has been given to the dilution effect on the Kosterlitz-Thouless (KT) transition. The duality plays an important role in the phase transition. We here investigate the two-dimensional diluted Villain model, which has the exact duality mapping, by using the Monte Carlo simulation with the cluster algorithm. We examine the duality relation which is expected to hold for the two KT transition points of the diluted Villain model. We propose and use an ab-inito finite-size scaling analysis for the KT transition. |
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