Ising spin-glass on a lattice with small loops.

Y. Y. Goldschmidt, Pik Yin Lai

研究成果: 雜誌貢獻期刊論文同行評審

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)143-148
頁數6
期刊EPL
16
發行號3
DOIs
出版狀態已出版 - 7 9月 1991

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