Numerical investigation of logarithmic corrections in two-dimensional spin models

Details Numerical investigation of logarithmic corrections in two-dimensional spin models Numerical investigation of logarithmic corrections in two-dimensional spin models

2004-02-06

arxiv.org/abs/cond-mat/0402192v1

JETP Letters 79 (2004) 213-217

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1134/1.1753418

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.

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