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High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d. | LitMetric

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 the general d-dimensional (hyper)simple-cubical lattices. 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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http://dx.doi.org/10.1103/PhysRevE.86.011139DOI Listing

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