TY - JOUR
T1 - Scaling and universality in the two-dimensional Ising model with a magnetic field
AU - Mangazeev, Vladimir V.
AU - Dudalev, Michael Yu
AU - Bazhanov, Vladimir V.
AU - Batchelor, Murray T.
PY - 2010/6/15
Y1 - 2010/6/15
N2 - The scaling function of the two-dimensional Ising model on the square and triangular lattices is obtained numerically via Baxter's variational corner transfer-matrix approach. The use of Aharony-Fisher nonlinear scaling variables allowed us to perform calculations sufficiently away from the critical point and to confirm all predictions of the scaling and universality hypotheses. Our results are in excellent agreement with quantum field theory calculations of Fonseca and Zamolodchikov as well as with many previously known exact and numerical calculations, including susceptibility results by Barouch, McCoy, Tracy, and Wu.
AB - The scaling function of the two-dimensional Ising model on the square and triangular lattices is obtained numerically via Baxter's variational corner transfer-matrix approach. The use of Aharony-Fisher nonlinear scaling variables allowed us to perform calculations sufficiently away from the critical point and to confirm all predictions of the scaling and universality hypotheses. Our results are in excellent agreement with quantum field theory calculations of Fonseca and Zamolodchikov as well as with many previously known exact and numerical calculations, including susceptibility results by Barouch, McCoy, Tracy, and Wu.
UR - http://www.scopus.com/inward/record.url?scp=77953670197&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.81.060103
DO - 10.1103/PhysRevE.81.060103
M3 - Article
SN - 2470-0045
VL - 81
JO - Physical Review E
JF - Physical Review E
IS - 6
M1 - 060103
ER -