"The Ising model on spherical lattices: dimer versus Monte Carlo approach"

Details "The Ising model on spherical lattices: dimer versus Monte Carlo approach" "The Ising model on spherical lattices: dimer versus Monte Carlo approach"

1993-07-27

arxiv.org/abs/hep-lat/9307018v1

J.Phys. A27 (1994) 2965-2983

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages + 6 figures not included. Latex file. FTUAM 93-27

Scientific paper

10.1088/0305-4470/27/9/013

We study, using dimer and Monte Carlo approaches, the critical properties and finite size effects of the Ising model on honeycomb lattices folded on the tetrahedron. We show that the main critical exponents are not affected by the presence of conical singularities. The finite size scaling of the position of the maxima of the specific heat does not match, however, with the scaling of the correlation length, and the thermodynamic limit is attained faster on the spherical surface than in corresponding lattices on the torus.

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