Percolation Expression for Ising Fully Frustrated Square Lattice
- 1 December 1989
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 82 (6) , 1057-1065
- https://doi.org/10.1143/ptp.82.1057
Abstract
An extended percolation system which expresses faithfully the spin interaction for the Ising fully frustrated square lattice, is studied by the simulation using a modified Monte-Carlo method. We find a unique macroscopic cluster (UMC) which has the following behavior: (a) According as the occupied bond (or on-bond) concentration (p ≤0.75) decreases, the size of UMC decreses. (b) Particularly, the size of UMC decreases strongly to almost zero at a slightly smaller concentration than the ordinary critical concentration, 0.5. (c) From an analytic consideration, it is inferred that UMC has some singular properties at the critical concentration (suggested in (b)) although the free energy keeps analyticity.Keywords
This publication has 1 reference indexed in Scilit:
- Frustration in periodic systems : exact results for some 2D Ising modelsJournal de Physique, 1979