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Modified Percolation Theory and Its Relevance to Quantum Critical Phenomena

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DOI: 10.4236/jmp.2014.58076    2,546 Downloads   3,294 Views   Citations


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.

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The authors declare no conflicts of interest.

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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.


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