Low-concentration series expansions for dilute spin glasses at zero temperature

A. Aharony*, K. Binder

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


An Ising (spin-1/2) model with random positive, negative and zero nearest-neighbour exchange coefficients is considered at zero temperature. The authors define two 'spin glass' susceptibilities, through average sums over ((sisj)2)av and ( mod (sisj) mod )av, where ( ) means averaging over degenerate ground states and ( )av means averaging over the random bond distribution. These susceptibilities are expanded in powers of the concentrations of the non-zero bonds, for the triangular (seven terms), square (nine terms) and d-dimensional hypercubic (eight terms) lattices. All the series show a singularity, which is associated with the paramagnetic to spin-glass phase transition. The phase boundary between these phases, and the corresponding critical exponents, are estimated.

Original languageEnglish
Article number014
Pages (from-to)4091-4108
Number of pages18
JournalJournal of Physics C: Solid State Physics
Issue number21
StatePublished - 1980


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