Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-02-19
Phys. Rev. B67 (2003) 054402-054410
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, latex, no figures, corrected two typos
Scientific paper
10.1103/PhysRevB.67.054402
For the study of Ising models of general spin S on the square lattice, we have combined our recently extended high-temperature expansions with the low-temperature expansions derived some time ago by Enting, Guttmann and Jensen. We have computed for the first time various critical parameters and improved the estimates of others. Moreover the properties of hyperscaling and of universality (spin S independence) of exponents and of various dimensionless amplitude combinations have been verified accurately. Assuming the validity of the lattice-lattice scaling, from our estimates of critical amplitudes for the square lattice we have also obtained estimates of the corresponding amplitudes for the spin S Ising model on the triangular, honeycomb, and kagome` lattices.
Butera Paolo
Comi Marco
Guttmann Anthony J.
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