"Valley structures" in the phase space of a finite 3D Ising spin glass with +or-I interactions
- 21 February 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (4) , L95-L100
- https://doi.org/10.1088/0305-4470/27/4/001
Abstract
Exact results for ground states and low-lying excitations of short-range Ising spin glass systems in three dimensions are presented. Using an exact method of nonlinear discrete optimization "valley structures" in the phase space can be analysed for finite systems. The existence of non-trivial breaking of ergodicity at zero temperature is shown by arranging the highly degenerate ground states in several valleys, which are connected only by the excited states.Keywords
This publication has 17 references indexed in Scilit:
- On the ground-state threshold in random two-dimensional Ising ±J modelsJournal of Statistical Physics, 1992
- Geometric localization of the threshold in two-dimensional Ising ±J spin glasses forT=0Journal of Statistical Physics, 1991
- The Ising Spin Glass and Phase Space GeometryEurophysics Letters, 1990
- The ground state of the +or-J spin glass from a heuristic matching algorithmJournal of Physics A: General Physics, 1989
- Three-Dimensional Ising Spin Glasses and Ergodicity BreakingEurophysics Letters, 1988
- Nonexponential relaxation in spin glasses and glassy systemsPhysical Review B, 1988
- Nature of the Spin-Glass PhasePhysical Review Letters, 1984
- Broken ergodicityAdvances in Physics, 1982
- Morphology of ground states of two-dimensional frustration modelJournal of Physics A: General Physics, 1982
- On the ground states of the frustration model of a spin glass by a matching method of graph theoryJournal of Physics A: General Physics, 1980