High Temperature Expansion for the Ising Model on the Dual Penrose Lattice

抄録

High temperature expansion for ln Z(Z: the partition function in the absence of a magnetic field) of the Ising model on the dual Penrose lattice is discussed. The terms up to w¹⁰ are derived by using projection method. The critical compressibility factor Z_c and the average correlation function \barC are calculated in terms of duality relation. The final results are Z_c=0.0846±0.007 and \barC=0.7403±0.0024, which are confirmed by the expansion. Lattice constants are shown in some tables.