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High-temperature critical behavior of two-dimensional planar models: A series investigation

High-temperature critical behavior of two-dimensional planar models: A series investigation 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 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

High-temperature critical behavior of two-dimensional planar models: A series investigation

Physical Review B , Volume 27 (1) – Jan 1, 1983
12 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1983 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.27.314
Publisher site
See Article on Publisher Site

Abstract

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 .

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jan 1, 1983

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