Spherical model as the limit of infinite spin dimensionality

Apr, 1968
5 pages
Published in:
  • Phys.Rev. 176 (1968) 718-722

Citations per year

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Abstract: (APS)
The Berlin-Kac spherical model (or"spherical approximation to the Ising model") HSM=−JΣ〈ij〉μiμj, with Σj=1Nuj2=N, is found to be equivalent to the ν→∞ limit of the Hamiltonian H(ν)=−JΣ〈ij〉Si(ν)·Sj(ν), where Si(ν) are isotropically interacting ν-dimensional classical spins.