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High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d
1Dipartimento di Fisica Universita' di Milano-Bicocca and Istituto Nazionale di Fisica Nucleare Sezione di Milano-Bicocca 3 Piazza della Scienza, 20126 Milano, Italy. paolo.butera@mib.infn.it
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 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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