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Extended high-temperature series for the classical Heisenberg model in three dimensions

Content Provider	Scilit
Author	McKenzie, S. Domb, C. Hunter, D. L.
Copyright Year	1982
Description	Journal: Journal of Physics A: General Physics Extended series expansions are derived for the high-temperature susceptibility of the classical Heisenberg model, on three-dimensional lattices. Series coefficients are presented to twelfth order for the simple cubic (SC) and face centred cubic (FCC) lattices and to eleventh order for the body centred cubic (BCC) lattice. The results are in agreement with earlier calculations apart from a small discrepancy at the tenth order on the FCC lattice. Extrapolation studies on the extended series are used to obtain revised estimates for the critical points $(K_{c}$) and the susceptibility exponent ( gamma ). On the FCC lattice, the authors also investigate the possibility of a confluent non-analytic correction to the dominant singularity. While the coefficients are consistent with the presence of such a correction term with an exponent ( Delta$ _{1}$) of 0.55, as predicted by renormalisation group (RG) calculations, the amplitude of the correction term appears to be very small compared with that of the first analytic correction term.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/15/12/039/pdf
Ending Page	3907
Page Count	9
Starting Page	3899
ISSN	00223689
DOI	10.1088/0305-4470/15/12/039
Journal	Journal of Physics A: General Physics
Issue Number	12
Volume Number	15
Language	English
Publisher	IOP Publishing
Publisher Date	1982-12-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Condensed Matter Physics Simple Cubic Series Expansion Critical Point Three Dimensions Three Dimensional Heisenberg Model
Content Type	Text
Resource Type	Article

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