Ising spin-glass on a lattice with small loops.

Y. Y. Goldschmidt, Pik Yin Lai

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the Ising spin-glass on a special lattice containing small loops with finite coordination number c. We derive the equation for the effective field distribution. With zero external field, we calculate the spin-glass transition temperature and obtain the lower critical dimension of the system. We investigate the system near and below the spin-glass transition and find that the replica symmetric solution is unstable in the low-temperature phase. Our results indicate that the replica symmetry breaking (RSB) effects are stronger than that of the Bethe lattice and furthermore, RSB is enhanced as the dimension (c/2) is decreased. Comparison with recent results of the 1 Id expansion is also discussed.

Original languageEnglish
Pages (from-to)143-148
Number of pages6
JournalEPL
Volume16
Issue number3
DOIs
StatePublished - 7 Sep 1991

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