Determination of CFT central charge by the Wang-Landau algorithm

Abstract

We propose a simple method to estimate the central charge of the conformal field theory corresponding to a critical point of a two-dimensional lattice model from Monte Carlo simulations. The main idea is to use the Wang-Landau flat-histogram algorithm, which allows us to obtain the free energy of a lattice model on a torus as a function of torus radii. The central charge is calculated with a good precision from a free energy scaling at the critical point. We apply the method to the Ising, tricritical Ising (Blume-Capel), Potts and site-diluted Ising models, and also discuss estimation of conformal weights.

8 pages, 12 figures

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Cited by in corpus (4)

• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Finite size scaling in the dimer and six-vertex model
• Critical density of topological defects upon a continuous phase transition
• First-order transition in the stacked-$J_1$-$J_2$ Ising model on a cubic lattice