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arXiv · hep-th/0103194

Anisotropic scaling and generalized conformal invariance at Lifshitz points

Michel Pleimling·Malte Henkel
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Abstract

The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits the analysis of systems far larger than in previous studies. The Lifshitz point critical exponents are $α=0.18(2)$, $β=0.238(5)$ and $γ=1.36(3)$. Data for the spin-spin correlation function are shown to be consistent with the explicit scaling function derived from the assumption of local scale invariance, which is a generalization of conformal invariance to the anisotropic scaling {\em at} the Lifshitz point.

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Michel Pleimling, Malte Henkel. 2001-03-22. Anisotropic scaling and generalized conformal invariance at Lifshitz points. https://doi.org/10.1103/physrevlett.87.125702

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