Condensed Matter Physics, 2017, vol. 20, No. 1, 13603
DOI:10.5488/CMP.20.13603
arXiv:1702.04340
Title:
Emergent universal critical behavior of the 2D Ncolor AshkinTeller model in the presence of correlated disorder
Author(s):

M. Dudka
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 79011 Lviv, Ukraine)
,


A.A. Fedorenko
(Laboratoire de Physique, ENS de Lyon, Univ Claude Bernard, Univ Lyon, CNRS, F69342 Lyon, France)

We study the critical behavior of the 2D Ncolor AshkinTeller model in the presence of random bond disorder whose correlations decays with the distance r as a powerlaw r^{a}. We consider
the case when the spins of different colors sitting at the same site are coupled by the same bond and map this problem onto the 2D system of N/2 flavors of interacting Dirac fermions in the presence of correlated
disorder. Using renormalization group we show that for N=2, a "weakly universal" scaling behavior at the continuous transition becomes universal with new critical exponents. For N>2, the firstorder phase
transition is rounded by the correlated disorder and turns into a continuous one.
Key words:
phase transitions, correlated disorder, twodimensional models, Dirac fermions, renormalization group
PACS:
61.43.j, 64.60.ae, 64.60.Bd, 75.10.Hk
