Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder
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Kaplan-2009-Infinitely robust or.pdf
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Author(s)
Kaplan, C. Nadir
Hinczewski, Michael
Berker, A. Nihat
Date Issued
January 2009
Journal
Physical Review E
Publisher
American Physical Society
Citation
Kaplan, C. Nadir, Michael Hinczewski, and A. Nihat Berker. “Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder.” Physical Review E 79.6 (2009): 061120. © 2009 The American Physical Society.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevE.79.061120
