Abstract
We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.
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Zhang, M.Q., Percus, J.K. Inhomogeneous Ising model on a multiconnected network. J Stat Phys 56, 695–708 (1989). https://doi.org/10.1007/BF01016775
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DOI: https://doi.org/10.1007/BF01016775