Transition point of the random Ising model with bond dilution
- 14 September 1979
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 12 (17) , L641-L644
- https://doi.org/10.1088/0022-3719/12/17/001
Abstract
The transition point of the random Ising model on the square lattice is exactly calculated under the assumption of quenched randomness of bond defects. The author makes use of a duality transformation and the replica method. The transition point thus obtained is given by exp(-2Kc)=exp((1-1/2p)ln2)-1 which satisfies the boundary conditions: Tc to 0 as p to pc=1/2; and Kc to 1/2ln( square root 2+1) as p to 1.Keywords
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