The magnetically dilute XY ferromagnet. I. The quenched site case

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Abstract
The spin-1/2 XY model with quenched impurity sites is studied on three cubic lattices. Series of degree seven in inverse temperature at fixed magnetic-ion concentration and series of the same degree in magnetic-ion concentration at fixed temperature are generated for both the zero-field free energy and the zero-field fluctuation in the long-range order. The high-temperature series are too short for satisfactory analysis. The low-concentration series for the fluctuation however yield estimates for the critical exponent gamma , which appear to depend on temperature. The phase transition curve is estimated for all three lattices.