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High temperature study of the Kosterlitz-Thouless phase transition in the XY model on the triangular lattice

arXiv:cond-mat/9902326 · doi:10.1103/PhysRevB.50.3052

Abstract

High temperature series expansions of the spin-spin correlation function for the XY (or plane rotator) model on the triangular lattice are extended by two terms up to order beta^{14}. Tables of the expansion coefficients are reported for the correlation function spherical moments of order l=0 and 2. Our analysis of the series supports the Kosterlitz-Thouless predictions on the structure of the critical singularities and leads to fairly accurate estimates of the critical parameters.

12 pages, LateX, figures reported only in the printed version