Randomly dilute Ising model: A nonperturbative approach
- 28 March 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 65 (14) , 140402
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 that are in good agreement with experimental and numerical data. The relevance of the cubic anisotropy in the model is also treated.
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This publication has 27 references indexed in Scilit:
- Randomly dilute spin models: A six-loop field-theoretic studyPhysical Review B, 2000
- Five-loop renormalization-group expansions for the three-dimensionaln-vector cubic model and critical exponents for impure Ising systemsPhysical Review B, 2000
- Stability of a cubic fixed point in three dimensions: Critical exponents for genericNPhysical Review B, 2000
- The correction-to-scaling exponent in dilute systemsJETP Letters, 1999
- Critical exponents of the three-dimensional diluted Ising modelPhysical Review B, 1998
- Five-loop for random Ising model and marginal spin dimensionality for cubic systemsPhysics Letters A, 1997
- Exact five-loop renormalization group functions of θ4-theory with O(N)-symmetric and cubic interactions. Critical exponents up to ϵ5Physics Letters B, 1995
- Critical exponents for cubic and impure uniaxial crystals: most accurate (?) theoretical valuesFerroelectrics, 1989
- Application of the renormalization group to phase transitions in disordered systemsPhysical Review B, 1976
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974