LOGARITHMIC CORRECTIONS IN THE 2-DIMENSIONAL XY MODEL

Authors
Citation
W. Janke, LOGARITHMIC CORRECTIONS IN THE 2-DIMENSIONAL XY MODEL, Physical review. B, Condensed matter, 55(6), 1997, pp. 3580-3584
Citations number
33
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
55
Issue
6
Year of publication
1997
Pages
3580 - 3584
Database
ISI
SICI code
0163-1829(1997)55:6<3580:LCIT2X>2.0.ZU;2-9
Abstract
Using two sets of high-precision Monte Carlo data for the two-dimensio nal XY model in the Villain formulation on square L x L lattices, the scaling behavior of the susceptibility chi and correlation length xi a t the Kosterlitz-Thouless phase transition is analyzed with emphasis o n multiplicative logarithmic corrections (lnL)(-2r) in the finite-size scaling region and (in xi)(-2r) in the high-temperature phase near cr iticality, respectively. By analyzing the susceptibility at criticalit y on lattices of size up to 512(2) we obtain r=-0.0270(10), in agreeme nt with recent work of Kenna and Irving on the finite-size scaling of Lee-Yang zeros in the cosine formulation of the XY model. By studying susceptibilities ana correlation lengths up to xi approximate to 140 i n the high-temperature phase, however, we arrive at quite a different estimate of r=0.0560(17), which is in good agreement with recent analy ses of thermodynamic Monte Carlo data and high-temperature series expa nsions of the cosine formulation.