Distribution of frustrated plaquettes in the random bond square lattice

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Kolan, AJ; Palmer, RG

Published Date

  • December 1, 1980

Published In

Volume / Issue

  • 13 / 23

International Standard Serial Number (ISSN)

  • 0022-3719

Digital Object Identifier (DOI)

  • 10.1088/0022-3719/13/23/002

Citation Source

  • Scopus