1992/12/31 by Laurent Frachebourg, Malte Henkel · 21 citations
Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Correlation function (quantum field theory) #Critical point (mathematics) #Dimension (graph theory) #Ferromagnetism #Function (biology) #Physics of Superconductivity and Magnetism #Quasicrystal Structures and Properties #Scale invariance #Scaling #Spherical model #Theoretical and Computational Physics #cond-mat #hep-lat #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/0378-4371(93)90175-4
published in Physica A Statistical Mechanics and its Applications 195(3-4), 577-602 (Elsevier BV) · Latex 23 pages, (2 figures not included) -- a Latex bug was fixed for v2
openalex publication_date 1993/05/01 · arxiv created 2011/09/23 · arxiv updated 2011/09/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.