Numerical investigation of logarithmic corrections in two-dimensional spin models
B. Berche+, L. N. Shchur+*
+Laboratoire de Physique des Matériaux, UMR CNRS 7556,
UniversitéHenri Poincaré, F-54506 Vandœ uvre les Nancy Cedex, France
*Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow reg., Russia
PACS: 05.50.+q, 75.10.-b
The analysis of correlation function data obtained by
Monte Carlo simulations of the two-dimensional 4- state Potts model,
XY model, and self-dual disordered Ising model
at criticality are presented.
We study the logarithmic corrections to the algebraic decay
exhibited in these models. A conformal mapping is used to relate the
finite-geometry information to that of the infinite plane.
Extraction of the leading singularity is altered by the expected
logarithmic corrections, and we show numerically that both leading
and correction terms are mutually consistent.