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arXiv · 1209.3592

The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d

P. Butera
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Abstract

The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for a general d-dimensional (hyper)-simple-cubical lattice. These series are analyzed to study the dependence of critical parameters on the lattice dimensionality. Using the general $d$ expression of the ordinary susceptibility, we have more than doubled the length of the existing series expansion of the critical temperature in powers of 1/d.

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P. Butera. 2012-09-17. The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d. https://doi.org/10.1103/physreve.86.011139

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