The correction-to-scaling exponent in dilute systems

1998/11/04 by R. Folk, Yu. Holovatch, T. Yavors'kii +1 · 3 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1134/1.568085

published as Pis'ma ZhETF, vol. 69 (1999) pp. 698 - 702. [JEPT Lett., vol.69 (1999) pp. 747 - 752] · 4 pages, latex, 1 eps-figure included

arxiv created 1998/11/04 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

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 √ ε expansion up to O(ɛ2) does not permit a reliable estimate for d=3.

Citations

• Scaling corrections: site-percolation and Ising model in three dimensions
• Critical exponents of theN-vector model
• Effect of random defects on the critical behaviour of Ising models

Cited by

• Three-dimensional randomly dilute Ising model: Monte Carlo results
• Bond dilution in the 3D Ising model: a Monte Carlo study
• Critical equation of state of randomly dilute Ising systems