Exact ground states of two-dimensional {plus_minus} J Ising spin glasses
Journal Article
·
· Journal of Statistical Physics
- Universitaet zu Koeln (Germany); and others
In this paper we study the problem of finding an exact ground state of a two-dimensional {+-}J Ising spin glass on a square lattice with nearest neighbor interactions and periodic boundary conditions when there is a concentration p of negative bonds, with p ranging between 0.1 and 0.9. With our exact algorithm we can determine ground states of grids of sizes up to 50 x 50 in a moderate amount of computation time (up to 1 hr each) for several values of p. For the ground-state energy of an infinite spin-glass system with p = 0.5 we estimate E{infinity}{sub 0.5} = - 1.4015 {+-} 0.0008. We report on extensive computational tests based on more than 22,000 experiments.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 466712
- Journal Information:
- Journal of Statistical Physics, Vol. 84, Issue 5-6; Other Information: PBD: Sep 1996
- Country of Publication:
- United States
- Language:
- English
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