Dilute spin glasses at zero temperature and the1/2-state Potts model
- 1 February 1979
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 12 (3) , L125-L128
- https://doi.org/10.1088/0022-3719/12/3/008
Abstract
A random Ising model with random positive, negative and zero nearest-neighbour exchange coefficients (with probabilities p, q=p and r respectively) is considered at zero temperature. The s state Potts model in the limit s to 1/2 is shown to describe the statistics of those clusters of bonds which contain no frustrated plaquettes. The phase transition of this model is interpreted as corresponding to a 'Mattis spin-glass' ordering on these clusters, yielding an upper bound for the concentration p at which some spin-glass ordering must occur.Keywords
This publication has 11 references indexed in Scilit:
- Field Theory for the Statistics of Branched Polymers, Gelation, and VulcanizationPhysical Review Letters, 1978
- Ising spin glass near the percolation thresholdJournal of Physics C: Solid State Physics, 1978
- Low-temperature phase diagram and critical properties of a dilute spin glassJournal of Physics C: Solid State Physics, 1978
- Spin-glass and related orderings in quenched random-spin systemsPhysical Review B, 1977
- Critical properties of a simple soluble spin glass modelSolid State Communications, 1976
- Solvable spin systems with random interactionsPhysics Letters A, 1976
- On the possibility of ‘Bose condensation’ in the excitation of coherent modes in biological systemsPhysics Letters A, 1976
- Theory of spin glassesJournal of Physics F: Metal Physics, 1975
- Potts model at the critical temperatureJournal of Physics C: Solid State Physics, 1973
- On the random-cluster modelPhysica, 1972