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Magnetization of the Ising model on the generalized checkerboard lattice

K. Y. Lin,F. Y. Wu

JOURNAL OF STATISTICAL PHYSICS（1988）

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Abstract
We consider the Ising model on the generalized checkerboard lattice. Using a recent result by Baxter and Choy, we derive exact expressions for the magnetization of nodal spins at two values of the magnetic field,H=0 andH=i1/2pkT. Our results are given in terms of Boltzmann weights of a unit cell of the checkerboard lattice without specifying its cell structures.
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Key words
partition function,statistical mechanics,magnetic field,coupling constant,quantum mechanics,lattice parameter,ising model,angular momentum,crystal structure,mathematical model
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