Variational approach to the scaling function of the 2D Ising model in a magnetic field
Date
2009
Authors
Mangazeev, Vladimir
Batchelor, Murray
Bazhanov, Vladimir
Dudalev, Mikhail
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IOP Electronic Journals
Abstract
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 are 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.
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Journal of Physics A: Mathematical and Theoretical
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Journal article
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2037-12-31