Critical percolation phase and thermal BKT transition in a scalefree network with shortrange and longrange random bonds
Berker, A. Nihat and Hinczewski, Michael and Netz, Roland R. (2009) Critical percolation phase and thermal BKT transition in a scalefree network with shortrange and longrange random bonds. (Accepted/In Press) AbstractPercolation in a scalefree hierarchical network is solved exactly by renormalizationgroup theory, in terms of the different probabilities of shortrange and longrange bonds. A phase of critical percolation, with algebraic (BerezinskiiKosterlitzThouless) geometric order, occurs in the phase
diagram, in addition to the ordinary (compact) percolating phase and the nonpercolating phase. It is found that no connection exists between, on the one hand, the onset of this geometric BKT behavior and, on the other hand, the onsets of the highly clustered smallworld character of the network and of the thermal BKT transition of the Ising model on this network. Nevertheless,
both geometric and thermal BKT behaviors have inverted characters, occurring where disorder is expected, namely at low bond probability and high temperature, respectively. This may be a general property of longrange networks. Available Versions of this Item Critical percolation phase and thermal BKT transition in a scalefree network with shortrange and longrange random bonds. (deposited 16 Sep 2009 09:15) [Currently Displayed]
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