Abstract
The critical temperature of the generalized spherical model (large-component limit of the classical Heisenberg model) on a cubic lattice, whose every bond is decorated byL spins, is found. WhenL→∞, the asymptotics of the temperature isT c ∼aL −1. The reduction of the number of spherical constraints for the model is found to be fairly large. The free energy of the one-dimensional generalized spherical model with random nearest neighbor interaction is calculated.
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Khoruzhenko, B.A., Pastur, L.A. & Shcherbina, M.V. Large-n limit of the Heisenberg model: The decorated lattice and the disordered chain. J Stat Phys 57, 41–52 (1989). https://doi.org/10.1007/BF01023633
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DOI: https://doi.org/10.1007/BF01023633