Effects of percolation on spin glass order
- 1 February 1979
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 12 (4) , 683-694
- https://doi.org/10.1088/0022-3719/12/4/014
Abstract
The authors investigate, using Migdal's recursion relations, a simple model which exhibits both spin glass and percolation behaviour. At zero temperature the spin glass phase occurs even for a very small fraction of negative interactions if the system is sufficiently dilute that it is close to the percolation threshold. Crossover away from percolation behaviour induced by adding a small fraction of negative bonds at zero temperature is characterised by a crossover exponent of unity independent of spatial dimension which is probably an exact result.Keywords
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