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

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

2006-09-23

arxiv.org/abs/cond-mat/0609603v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages

Scientific paper

10.1007/s10955-007-9443-5

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 ($\phi^4$) 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.

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