Abstract
The lattice-gas reformulation of the spin-$\frac{1}{2}$, triangular Ising antiferromagnet in a field is expected to mimic the behavior of He atoms adsorbed on grafoil (exfoliated graphite). These adsorbed helium systems have been observed to have a second-order phase transition for surface densities near one-third coverage. We have derived and analyzed seventh-order staggered susceptibility series for the triangular Ising antiferromagnet to locate the second-order phase boundary. Our results are in good quantitative agreement with results from real-space renormalization-group calculations for the model and with results from experiments on the helium layers.
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