Abstract

For pt.II see ibid., vol.9, p.2575 (1976). The two-dimensional spin-1/2 XY model is investigated for the two cases of quenched-site dilution and annealed-site dilution. On the square and triangular lattices, seven terms have been derived in the low-concentration expansion for the free energy and for the fluctuation in the perpendicular magnetization. Analysis of the fluctuation series provides evidence for a phase transition. High-temperature specific-heat curves are presented for possible comparison with experiment.

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