The correction-to-scaling exponent in dilute systems

AbstractThe 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.