Work

Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension d = 3

Year: 2025

Type: article

Abstract: 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.

Source: Condensed Matter Physics

DOI: 10.5488/cmp.28.43503

Authors: D. Shapoval, M. Dudka

Institutions: Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv Polytechnic National University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Foundation of Ukraine, National Research Foundation

Award: G1495634801