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Competing Ising interactions and chaotic glass-like behaviour on a Cayley tree
Authors:Sakari Inawashiro  Colin J. Thompson
Affiliation:1. Departments of Mathematics and Physics, University of Melbourne, Parkville 3052, Australia;2. Department of Applied Physics, Tohoku University, Senday 980, Japan
Abstract:For the Ising model on a Cayley tree with competing nearest neighbour coupling J and next nearest neighbour coupling J′, we find in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of J′/J < 0 values where the local magnetization has chaotic oscillatory glass-like behaviour.
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