Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-22
Phys.Rev.Lett. 87 (2001) 125702
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, Latex, 2 figures
Scientific paper
10.1103/PhysRevLett.87.125702
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.
Henkel Malte
Pleimling Michel
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