Exact Correlation Function at the Lifshitz Points of the Spherical Model

Details Exact Correlation Function at the Lifshitz Points of the Spherical Model Exact Correlation Function at the Lifshitz Points of the Spherical Model

1992-12-09

arxiv.org/abs/cond-mat/9212012v2

Physica A195:577,1993

Physics

Condensed Matter

Latex 23 pages, (2 figures not included) -- a Latex bug was fixed for v2

Scientific paper

10.1016/0378-4371(93)90175-4

The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement with scaling. The scaling function is shown to be universal. The direction-dependent long-range correlations may change from ferromagnetic to antiferromagnetic behaviour and back as the dimension is varied. The form of the scaling function is compared to predictions following from local scale invariance for strongly anisotropic critical systems.

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