# Anisotropic scaling and generalized conformal invariance at Lifshitz points

Authors
Type
Published Article
Publication Date
Mar 22, 2001
Submission Date
Mar 22, 2001
Identifiers
DOI: 10.1103/PhysRevLett.87.125702
Source
arXiv
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 $\alpha=0.18(2)$, $\beta=0.238(5)$ and $\gamma=1.36(3)$. 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.