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

Abstract

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.

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

References in corpus (3)

• A Comparative Study of Some Pseudorandom Number Generators
• Curvature Singularity as the Vertex Operator
• Exact Finite Size Results on the Ising Model in 2D Curved Space

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• Geometric effects on critical behaviours of the Ising model
• Universality of the Ising Model on Sphere-like Lattices
• The dynamic exponent of the Ising model on negatively curved surfaces
• A study of the phase transition in 4D pure compact U(1) LGT on toroidal and spherical lattices
• Novel scaling behavior of the Ising model on curved surfaces
• Logarithmic corrections to the Ising model free energy on lattices with conical singularities
• Finite-size scaling and conformal anomaly of the Ising model in curved space
• Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions
• Tricritical Behavior of Two-Dimensional Scalar Field Theories
• The location of the Fisher zeros and estimates of yT = 1/ν are found for the Baxter-Wu model