Publications [#247632] of Richard G. Palmer
Papers Published
- Kolan, AJ; Palmer, RG, Distribution of frustrated plaquettes in the random bond square lattice,
Journal of Physics C: Solid State Physics, vol. 13 no. 23
(December, 1980),
pp. L575-L580, IOP Publishing, ISSN 0022-3719 [doi]
(last updated on 2024/04/20)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.