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We have analyzed new twelfth-order high-temperature series for the susceptibility and correlation length of classical planar models on the triangular lattice using an n -fit method of analysis tailored to the form of the singularity A exp ( b t - ν ) predicted by Kosterlitz and Thouless. Test-function analysis shows that the n -fit method is significantly more reliable in treating a number of possible corrections to the leading singularity than is the D log Padé analysis of the logarithm and logarithmic derivative used in earlier series work on tenth-order series. Our n -fit analysis leads to the results ν = 0.5 ± 0.1 and η = 0.27 ± 0.03 in good agreement with the Kosterlitz-Thouless predictions ν = 1 2 and η = 1 4 .
Physical Review B – American Physical Society (APS)
Published: Jan 1, 1983
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