Anisotropic scaling and generalized conformal invariance at Lifshitz points

Abstract

A new variant of the Wolff cluster algorithm is proposed for simulating systems with competing interactions. This method is used in a high-precision study of the Lifshitz point of the 3D ANNNI model. At the Lifshitz point, several critical exponents are found and the anisotropic scaling of the correlators is verified. The functional form of the two-point correlators is shown to be consistent with the predictions of generalized conformal invariance.

4 pages, 3 figures, final version to appear in Comp. Phys. Commun

References in corpus (2)

• Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points
• Anisotropic scaling and generalized conformal invariance at Lifshitz points

Cited by in corpus (4)

• Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model
• A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
• Time-dependent Monte Carlo simulations of the critical and Lifshitz points of the ANNNI model
• Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1