Explicit Renormalization Group for D=2 random bond Ising model with long-range correlated disorder

Abstract

We investigate the explicit renormalization group for fermionic field theoretic representation of two-dimensional random bond Ising model with long-range correlated disorder. We show that a new fixed point appears by introducing a long-range correlated disorder. Such as the one has been observed in previous works for the bosonic (${\varphi }^4$) description. We have calculated the correlation length exponent and the anomalous scaling dimension of fermionic fields at this fixed point. Our results are in agreement with the extended Harris criterion derived by Weinrib and Halperin.

5 pages

References in corpus (2)

• Dynamical properties of the Landau-Ginzburg model with long-range correlated quenched impurities
• Two-dimensional Ising model with self-dual biaxially correlated disorder

Cited by in corpus (6)

• Critical behavior of the 2D Ising model with long-range correlated disorder
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Griffiths phase and critical behavior of the 2D Potts models with long-range correlated disorder
• Long-range quenched bond disorder in the bi-dimensional Potts model
• Ground state properties of Ising chain with random monomer-dimer couplings
• Two-dimensional Ising and Potts model with long-range bond disorder: a renormalization group approach