Anisotropic Scaling and Generalized Conformal Invariance at Lifshitz Points

Michel Pleimling and Malte Henkel
Phys. Rev. Lett. 87, 125702 – Published 31 August 2001
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Abstract

The behaviour of the 3D axial next-nearest-neighbor Ising 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 at the Lifshitz point.

  • Received 21 March 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.125702

©2001 American Physical Society

Authors & Affiliations

Michel Pleimling1,2 and Malte Henkel1,*

  • 1Laboratoire de Physique des Matériaux, Université Henri Poincaré Nancy I, B.P. 239, F-54506 Vandœuvre lès Nancy Cedex, France
  • 2Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

  • *Laboratoire associé au CNRS UMR 7556.

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Vol. 87, Iss. 12 — 17 September 2001

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