Variational approach to the scaling function of the 2D Ising model in a magnetic field

Vladimir V. Mangazeev, Murray T. Batchelor, Vladimir V. Bazhanov, Michael Yu. Dudalev

Published 2008-11-20, updated 2008-11-28Version 2

The universal scaling function of the square lattice Ising model in a magnetic field is obtained numerically via Baxter's variational corner transfer matrix approach. The high precision numerical data is in perfect agreement with the remarkable field theory results obtained by Fonseca and Zamolodchikov, as well as with many previously known exact and numerical results for the 2D Ising model. This includes excellent agreement with analytic results for the magnetic susceptibility obtained by Orrick, Nickel, Guttmann and Perk. In general the high precision of the numerical results underlines the potential and full power of the variational corner transfer matrix approach.