Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets

Details Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets

1999-12-06

arxiv.org/abs/cond-mat/9912090v1

J. Phys. A 33, 721-729 (2000)

Physics

Condensed Matter

Statistical Mechanics

11 pages, LaTeX with Institute of Physics macros, 2 EPS figures; to appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/33/4/306

Finite-size corrections to scaling of critical correlation lengths and free energies of Ising and three-state Potts ferromagnets are analysed by numerical methods, on strips of width $N$ sites of square, triangular and honeycomb lattices. Strong evidence is given that the amplitudes of the ``analytical'' correction terms, $N^{-2}$, are identically zero for triangular-- and honeycomb Ising systems. For Potts spins, our results are broadly consistent with this lattice-dependent pattern of cancellations, though for correlation lengths non-vanishing (albeit rather small) amplitudes cannot be entirely ruled out.

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