Numerical determination of the CFT central charge in the site-diluted Ising model

TL;DR

This paper introduces a numerical approach using the Wang-Landau algorithm to determine the central charge of 2D lattice models, demonstrated on the site-diluted Ising model, linking lattice free energy to conformal field theory parameters.

Contribution

A novel numerical method for extracting the CFT central charge from lattice models using free energy scaling on the torus.

Findings

Successfully applied to the site-diluted Ising model

Provides accurate central charge measurements

Establishes a link between lattice free energy and CFT parameters

Abstract

We propose a new numerical method to determine the central charge of the conformal field theory models corresponding to the 2D lattice models. In this method, the free energy of the lattice model on the torus is calculated by the Wang-Landau algorithm and then the central charge is obtained from a free energy scaling with respect to the torus radii. The method is applied for determination of the central charge in the site-diluted Ising model.