Transition point of the random Ising model with bond dilution

Hidetoshi Nishimori

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10 Citations (Scopus)


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 languageEnglish
Article number001
Pages (from-to)L641-L644
JournalJournal of Physics C: Solid State Physics
Issue number17
Publication statusPublished - 1979 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)
  • Physics and Astronomy(all)


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