Randomly dilute Ising model: A nonperturbative approach

Sep 10, 2001
4 pages
Published in:
  • Phys.Rev.B 65 (2002) 140402
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Abstract: (APS)
The N-vector cubic model relevant, among others, to the physics of the randomly dilute Ising model is analyzed in arbitrary dimension by means of an exact renormalization-group equation. This study provides a unified picture of its critical physics between two and four dimensions. We give the critical exponents for the three-dimensional randomly dilute Ising model that are in good agreement with experimental and numerical data. The relevance of the cubic anisotropy in the O(N) model is also treated.
Note:
  • 4 pages, published version
  • 11.15.Tk
  • 64.60.-i
  • 11.10.Hi
  • 75.10.Nr