Randomly dilute Ising model: A nonperturbative approach

Details Randomly dilute Ising model: A nonperturbative approach Randomly dilute Ising model: A nonperturbative approach

2001-09-10

arxiv.org/abs/cond-mat/0109176v3

Phys. Rev. B 65, 140402 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, published version

Scientific paper

10.1103/PhysRevB.65.140402

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 which are in good agreement with experimental and numerical data. The relevance of the cubic anisotropy in the O(N) model is also treated.

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