Abstract
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 language | English (US) |
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Pages (from-to) | 2286-2289 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 72 |
Issue number | 14 |
DOIs | |
State | Published - 1994 |
ASJC Scopus subject areas
- General Physics and Astronomy