Numerical investigation of logarithmic corrections in two-dimensional spin models

Abstract

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.

References in corpus (1)

• Bulk and surface properties in the critical phase of the two-dimensional XY model

Cited by in corpus (5)

• Scaling Relations for Logarithmic Corrections
• Self-Consistent Scaling Theory for Logarithmic Correction Exponents
• Monte Carlo Study of Phase Transitions in the Bond-Diluted 3D 4-State Potts Model
• Topological transition in a two-dimensional model of liquid crystal
• Logarithmic corrections to correlation decay in two-dimensional random-bond Ising systems