Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

Details Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

1996-04-15

arxiv.org/abs/cond-mat/9604079v1

Physics

Condensed Matter

12 pages, LaTeX with IOP style files (ioplppt.sty) and epsf.sty. 3 ps files included. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/29/14/010

The finite-lattice method of series expansions has been combined with a new extrapolation procedure to extend the low-temperature series for the specific heat, spontaneous magnetisation and susceptibility of the spin-1 Ising model on the square lattice. The extended series were derived by directly calculating the series to order 99 (in the variable $u=\exp[-J/k_B T])$ and using the new extrapolation procedure to calculate an additional 13--14 terms.

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