Critical Properties of theXYModel

Abstract
The XY model of a quantum lattice fluid or a ferromagnet is studied by the method of exact high-temperature series expansion. Nine terms are obtained in the free-energy series and seven in the series for the square of the fluctuation in the long-range order. Analysis of these series yields the critical values kTcJ=4.84±0.06, γ=1.00±0.07, and α=0.20±0.20 for the fcc lattice.

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