Protected percolation: a new universality class pertaining to heavily-doped quantum critical systems

Abstract

We present the results of computer simulations on a class of percolative systems that forms a new universality class. We show the results for the critical exponents for this new class, inferred from simulations of two- and three-dimensional lattices consisting of up to one billion lattice sites. These new percolative systems differ from standard percolative systems in that once a cluster breaks off the lattice spanning cluster, its sites become protected and cannot be removed. This situation closely mimics the situation in heavily-doped quantum critical systems where isolated magnetic clusters are protected from (further) Kondo screening. Our results indicate that protected percolation violates the Harris criterion, which yields a natural explanation as to why universal exponents for quantum phase transitions have been elusive.

arXiv comment5 pages, submitted to Physical review Letters

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Cited by in corpus (3)

• Evidence for magnetic clusters in stoichiometric quantum critical CeRu${}_2$Si${}_2$
• The effects of disorder on Harris-criterion violating percolation
• A Quantitative Solution to the Kondo Lattice Problem