Randomly dilute Ising model: A nonperturbative approach
Matthieu Tissier, D. Mouhanna, Julien Vidal +1 more
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.
arXiv:cond-mat/0109176•Physical review. B, Condensed matter•Mar 28, 2002•47 citations