Replica symmetry breaking of the Ising spin-glass with finite connectivity

Pik Y. Lai, Y. Y. Goldschmidt

研究成果: 雜誌貢獻期刊論文同行評審

14 引文 斯高帕斯(Scopus)


The authors consider the Ising spin-glass on a lattice with finite connectivity (=M+1). Using the recent method of large connectivity expansions, the free energies at finite temperatures are evaluated numerically at first-step replica symmetry breaking (RSB). The 1/M expansion at finite temperature diverges as T0 as in the replica symmetric case but is well behaved for a larger range. The 1/M expansion at zero temperature is also calculated at higher steps of RSB. An expression for the free-energy expansion is derived for an arbitrary step of RSB up to order 1/M. Explicit numerical values at second-step RSB are obtained. From the results, they speculate that the divergence in the finite-temperature expansion might disappear for the exact infinite-step RSB solution. They also compare their results with the simulation results of graph bipartitioning.

頁(從 - 到)3329-3340
期刊Journal of Physics A: Mathematical and General
出版狀態已出版 - 1990


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