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Specific-heat exponent for the three-dimensional Ising model from a 24th-order high-temperature series

1994; American Physical Society; Volume: 49; Issue: 18 Linguagem: Inglês

10.1103/physrevb.49.12909

1095-3795

Gyan Bhanot, Michael Creutz, U. Glässner, Klaus Schilling,

Quantum many-body systems

We compute high-temperature expansions of the three-dimensional Ising model using a recursive transfer-matrix algorithm and extend the expansion of the free energy to 24th order. Using inhomogeneous-differential Pad\'e and ratio methods, we extract the critical exponent of the specific heat to be \ensuremath{\alpha}=0.104(4).