Infinitely Robust Order and Local Order-Parameter Tulips in Apollonian Networks with Quenched Disorder
arXiv:0811.3437 · doi: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.
5 pages, 4 figures; updated to reflect minor changes in published version
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Cited by in corpus (7)
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- The Chiral Potts Spin Glass in d=2 and 3 Dimensions
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- Magnetic models on various topologies
- Critical Percolation Phase and Thermal BKT Transition in a Scale-Free Network with Short-Range and Long-Range Random Bonds