Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension d = 3
DOI:
https://doi.org/10.5488/cmp.28.43503Keywords:
critical phenomena, Ising model, disordered systems, long-range interactions, renormalization groupAbstract
We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance x as ∼ x - d - σ in a d-dimensional space. It is known to belong to a new long-range random universality class for certain values of the decay parameter σ. Exploiting the field-theoretic renormalization group approach within the minimal subtraction scheme, we compute the three-loop renormalization group functions. On their basis, with the help of asymptotic series resummation methods, we estimate the correlation length critical exponent ν characterising the new universality class for d = 3 and for those values of σ for which long-range interactions are relevant for the critical behaviour.
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