A model Hamiltonian JC= J~ (;; )S,· Sj is considered, where S, are isotropically interacting D-dimensional classical spins. Thus the S= l Ising, classical planar, and classical Heisenberg models are obtained if D=l, 2, and 3, respectively; moreover, as D-+oo, the free energy corresponding to JC approaches the free energy of the exactly-soluble spherical… (More)

@inproceedings{SRanley2003CriticalIF,
title={Critical Indices for a System of Spins of Arbitrary Dimensionality Situated on a Lattice of Arbitrary Dimensionality},
author={S-Ranley},
year={2003}
}