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Modified Percolation Theory and Its Relevance to Quantum Critical Phenomena

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DOI: 10.4236/jmp.2014.58076    2,850 Downloads   3,757 Views   Citations
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Tom Heitmann, John Gaddy, Wouter Montfrooij


Department of Physics and Astronomy, University of Missouri, Columbia, USA.
The Missouri Research Reactor, University of Missouri, Columbia, USA.


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.


Quantum Critical, Percolation, Dynamical Scaling

Cite this paper

Heitmann, T. , Gaddy, J. and Montfrooij, W. (2014) Modified Percolation Theory and Its Relevance to Quantum Critical Phenomena. Journal of Modern Physics, 5, 649-660. doi: 10.4236/jmp.2014.58076.

Conflicts of Interest

The authors declare no conflicts of interest.


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