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arxiv: 1612.06374 · v1 · pith:EZBL2Z6Rnew · submitted 2016-12-19 · ❄️ cond-mat.stat-mech

Determination of CFT central charge by the Wang-Landau algorithm

classification ❄️ cond-mat.stat-mech
keywords centralchargeisingalgorithmconformalcriticalenergyfree
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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.

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