Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorderKaplan, 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 This is the latest version of this item.
Official URL: http://dx.doi.org/10.1103/PhysRevE.79.061120 AbstractFor 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.
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