TITLE:
Modified Percolation Theory and Its Relevance to Quantum Critical Phenomena
AUTHORS:
Tom Heitmann, John Gaddy, Wouter Montfrooij
KEYWORDS:
Quantum Critical, Percolation, Dynamical Scaling
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.8,
May
29,
2014
ABSTRACT: We present
a new family of percolation models. We show, using theory and computer
simulations, that these represent a new universality class. Interestingly,
systems in this class appear to violate the Harris criterion, making model
systems within these class ideal systems for studying the influence of disorder
on critical behavior. We argue that such percolative systems have already been
realized in practice in strongly correlated electron systems that have been
driven to the quantum critical point by means of chemical substitution.