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

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...

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Bibliographic Details
Main Authors: Kaplan, C. Nadir, Hinczewski, Michael, Berker, A. Nihat
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/51768
https://orcid.org/0000-0002-5172-2172