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Finite-lattice expansion for Ising models on quasiperiodic tilings

Przemyslaw Repetowicz
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Abstract

Low-temperature series are calculated for the free energy, magnetisation, susceptibility and field-derivatives of the susceptibility in the Ising model on the quasiperiodic Penrose lattice. The series are computed to order 20 and estimates of the critical exponents alpha, beta and gamma are obtained from Pade approximants.

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Przemyslaw Repetowicz. 2001-12-06. Finite-lattice expansion for Ising models on quasiperiodic tilings. https://doi.org/10.1088/0305-4470%2F35%2F36%2F304

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