The correction-to-scaling exponent in dilute systems
- 1 May 1999
- journal article
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 69 (10) , 747-752
Abstract
The leading correction-to-scaling exponent ω for the three-dimensional (3D) dilute Ising model is calculated in the framework of the field theoretic renormalization group approach. Both in the minimal subtraction scheme and in the massive field theory (resummed four-loop expansion) excellent agreement with recent Monte Carlo calculations (H. G. Ballesteros et al., Phys. Rev. B 58, 2740 (1998)) is achieved. The expression of ω as a series in a $\sqrt \varepsilon $ expansion up to O(ɛ2) does not permit a reliable estimate for d=3.
Keywords
All Related Versions
This publication has 29 references indexed in Scilit:
- Critical exponents of the three-dimensional diluted Ising modelPhysical Review B, 1998
- Finite-Size Scaling and Lack of Self-Averaging in Critical Disordered SystemsPhysical Review Letters, 1998
- Exact five-loop renormalization group functions of θ4-theory with O(N)-symmetric and cubic interactions. Critical exponents up to ϵ5Physics Letters B, 1995
- The critical behaviour of the three-dimensional dilute Ising model : universality and the Harris criterionJournal de Physique, 1989
- Finite-Size Scaling and Correlation Lengths for Disordered SystemsPhysical Review Letters, 1986
- Critical behavior of disordered spin systems in two and three dimensionsPhysical Review B, 1983
- Cubic-vector model and randomly dilute Ising model in general dimensionsPhysical Review B, 1982
- Critical behavior of the simple cubic Ising model with quenched site impuritiesPhysical Review B, 1980
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974
- Corrections to Scaling LawsPhysical Review B, 1972