Distribution of frustrated plaquettes in the random bond square lattice
- 20 August 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (23) , L575-L580
- https://doi.org/10.1088/0022-3719/13/23/002
Abstract
Computer simulation is used to examine the spatial distribution of frustrated plaquettes in a square lattice of random +1 and -1 bonds. While the bonds are uncorrelated, the frustrated plaquettes are not. The average separation of a frustrated plaquette from its nearest frustrated neighbour shows a feature consistent with Schuster's pair dissociation transition at c=0.707, where c is the concentration of positive bonds. It also possesses a narrow peak at c approximately=0.9, which may be related to a phase boundary in the Ising spin system on this lattice.Keywords
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