Critical behavior of the two-dimensional Ising model with long-range correlated disorder

We study critical behavior of the diluted two-dimensional Ising model in the presence of disorder correlations which decay algebraically with distance as ~ r super(-a). Mapping the problem onto two-dimensional Dirac fermions with correlated disorder we calculate the critical properties using renorma...

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Bibliographic Details
Published in:Physical review. B 2016-06, Vol.93 (22), Article 224422
Main Authors: Dudka, M., Fedorenko, A. A., Blavatska, V., Holovatch, Yu
Format: Article
Language:English
Subjects:
Condensed matter
Correlation
Disorders
Exponents
Gaussian
Ising model
Mathematical models
Two dimensional models
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Summary:We study critical behavior of the diluted two-dimensional Ising model in the presence of disorder correlations which decay algebraically with distance as ~ r super(-a). Mapping the problem onto two-dimensional Dirac fermions with correlated disorder we calculate the critical properties using renormalization group up to two-loop order. We show that beside the Gaussian fixed point the flow equations have a nontrivial fixed point which is stable for 0.995
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.224422