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Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder

Kaplan, C. Nadir and Hinczewski, Michael and Berker, A. Nihat (2009) Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder. Physical Review E, 79 (6). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.061120

Abstract

For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group technique that yields highly detailed information, including the exact distributions of local magnetizations and local spin-glass order parameters, which turn out to exhibit, as function of temperature, complex and distinctive tulip patterns.

Item Type:Article
Uncontrolled Keywords:Scale-free networks, spin-glass order, local order parameters, renormalization-group theory, hierarchical lattices, Apollonian packings.
Subjects:Q Science > QC Physics > QC1 General
ID Code:11591
Deposited By:A. Nihat Berker
Deposited On:26 Jun 2009 09:07
Last Modified:25 May 2011 14:06

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