Randomly dilute Ising model: A nonperturbative approach

Abstract

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.

4 pages, published version

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Cited by in corpus (34)

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• General framework of the non-perturbative renormalization group for non-equilibrium steady states
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• Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories
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• Phase diagram of a system of hard cubes on the cubic lattice
• Universal behavior of coupled order parameters below three dimensions
• Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy
• Fixed points in frustrated magnets revisited
• Stability of fixed points and generalized critical behavior in multifield models
• ${\mathbb{Z}}_4$-symmetric perturbations to the XY model from functional renormalization
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study
• Critical equation of state of randomly dilute Ising systems
• Dynamic scaling in the quenched disordered classical $N$-vector model
• Possibility of a continuous phase transition in random-anisotropy magnets with ageneric random-axis distribution
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models
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