Exact zero-field susceptibility of the Ising model on a Cayley tree
We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.
Keywords:Cayley tree / Ising model / susceptibility / zero field
Source:Journal of Magnetism and Magnetic Materials, 1998, 177, 185-187
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