TY - JOUR
T1 - Variational approach to the scaling function of the 2D Ising model in a magnetic field
AU - Mangazeev, Vladimir V.
AU - Batchelor, Murray T.
AU - Bazhanov, Vladimir V.
AU - Dudalev, Michael Yu
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=64549100615&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/42/4/042005
DO - 10.1088/1751-8113/42/4/042005
M3 - Article
SN - 1751-8113
VL - 42
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 4
M1 - 042005
ER -