The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
نویسنده
چکیده
We study the classical XY (plane rotator) model at the KosterlitzThouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L = 2048. We derive the finite size behaviour of the second moment correlation length over the lattice size ξ2nd/L at the transition temperature. This new prediction and the analogous one for the helicity modulus Υ are confronted with our Monte Carlo data. This way βKT = 1.1199 is confirmed as inverse transition temperature. Finally we address the puzzle of logarithmic corrections of the magnetic susceptibility χ at the transition temperature. PACS numbers: 75.10.Hk, 05.10.Ln, 68.35.Rh
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تاریخ انتشار 2005