The correction-to-scaling exponent in dilute systems

Abstract

The leading correction-to-scaling exponent $ω$ 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 $ω$ as series in a $\sqrtε$-expansion up to ${\cal O}(ε^2)$ does not allow a reliable estimate for $d=3$.