Spin-glass model with dimension-dependent ground state multiplicity

C. M. Newman, D. L. Stein

Research output: Contribution to journalArticlepeer-review


We introduce a new Ising spin-glass model and use it to study the relation between quenched disorder, frustration, ground state mulitplicity, and dimension. The Hamiltonian is of Edwards-Anderson type in any finite volume but the coupling magnitudes scale nonlinearly with volume. We find a mapping between the ground state structure of this model and the global connectivity structure of invasion percolation in the same dimension. We argue that our model has a singular pair of ground states below eight dimensions and infinitely many above.

Original languageEnglish (US)
Pages (from-to)2286-2289
Number of pages4
JournalPhysical Review Letters
Issue number14
StatePublished - 1994

ASJC Scopus subject areas

  • General Physics and Astronomy


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