The correction-to-scaling exponent in dilute systems

Abstract

The leading correction-to-scaling exponent $\omega$ for the three-dimensional dilute Ising model is calculated in the framework of the field theoretic renormalization group approach. Both in the minimal subtraction scheme as well as in the massive field theory (resummed four loop expansion) excellent agreement with recent Monte Carlo calculations [Ballesteros H G, et al Phys. Rev. B 58, 2740 (1998)] is achieved. The expression of $\omega$ as series in a $\sqrt{\epsilon }$-expansion up to $\mathcal{O}({\epsilon }^2)$ does not allow a reliable estimate for $d=3$.

4 pages, latex, 1 eps-figure included

References in corpus (4)

• Critical Exponents of the N-vector model
• Critical exponents of the three dimensional diluted Ising model
• Scaling corrections: site-percolation and Ising model in three dimensions
• Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems

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• Randomly dilute spin models: a six-loop field-theoretic study
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• Bond dilution in the 3D Ising model: a Monte Carlo study
• Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
• Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model
• The three-dimensional randomly dilute Ising model: Monte Carlo results
• Randomly dilute Ising model: A nonperturbative approach
• Stability of a cubic fixed point in three dimensions. Critical exponents for generic N
• Universality in the off-equilibrium critical dynamics of the $3d$ diluted Ising model
• Surface critical behavior of random systems at the ordinary transition
• Surface critical behavior of random systems at the special transition
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study
• Critical equation of state of randomly dilute Ising systems
• Universal free-energy distribution in the critical point of a random Ising ferromagnet