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 p c=1/2; and Kc to 1/ 2ln( square root 2+1) as p to 1.
Original language | English |
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Article number | 001 |
Pages (from-to) | L641-L644 |
Journal | Journal of Physics C: Solid State Physics |
Volume | 12 |
Issue number | 17 |
DOIs | |
Publication status | Published - 1979 Dec 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- Engineering(all)
- Physics and Astronomy(all)