Finite-lattice expansion for Ising models on quasiperiodic tilings

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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16 pages, REVTeX, 26 postscript figures

Scientific paper

10.1088/0305-4470/35/36/304

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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