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The Two dimensional XY model at the transition temperature: A High precision Monte Carlo study

Martin Hasenbusch
(
- Pisa U. and
- INFN, Pisa
)

Feb, 2005

22 pages

Published in:

J.Phys.A 38 (2005) 5869-5884

e-Print:

cond-mat/0502556 [cond-mat]

DOI:

10.1088/0305-4470/38/26/003

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Abstract: (arXiv)

We study the classical XY (plane rotator) model at the Kosterlitz-Thouless 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 xi_{2nd}/L at the transition temperature. This new prediction and the analogous one for the helicity modulus are confronted with our Monte Carlo data. This way beta_{KT}=1.1199 is confirmed as inverse transition temperature. Finally we address the puzzle of logarithmic corrections of the magnetic susceptibility chi at the transition temperature.

Note:

22 pages Subj-class: Statistical Mechanics

68.35.Rh
05.10.Ln
75.10.Hk

References(29)

Figures(0)

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