Spin Domains Generate Hierarchical Ground State Structure in J=+/-1 Spin Glasses
arXiv:cond-mat/0007356 · doi:10.1103/PhysRevLett.86.3148
Abstract
Unbiased samples of ground states were generated for the short-range Ising spin glass with Jij=+/-1, in three dimensions. Clustering the ground states revealed their hierarchical structure, which is explained by correlated spin domains, serving as cores for macroscopic zero energy "excitations".
4 pages, 5 figures, accepted to Phys. Rev. Lett
References in corpus (3)
Cited by in corpus (21)
- Mean-field theory for the inverse Ising problem at low temperatures
- Collective Decision Dynamics in the Presence of External Drivers
- Clustering analysis of the ground-state structure of the vertex-cover problem
- Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
- Lack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses
- Non-compact local excitations in spin glasses
- The energy landscape networks of spin-glasses
- Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
- State Hierarchy Induced by Correlated Spin Domains in short range spin glasses
- Numerical Solution-Space Analysis of Satisfiability Problems
- Evidence for the double degeneracy of the ground-state in the 3D spin glass
- Equilibrium of disordered systems : constructing the appropriate valleys in each sample via strong disorder renormalization in configuration space
- Solution-space structure of (some) optimization problems
- Low Temperature Domain Wall Freezing and Non-Equilibrium Dynamics in the Transverse-Field Ising Model Material CoNbO
- Equilibrium valleys in spin glasses at low temperature
- A Quantitative Clustering Approach to Ultrametricity in Spin Glasses
- Non-trivial link overlap distribution in three-dimensional Ising spin glasses
- Spin-glass chain in a magnetic field : influence of the disorder distribution on ground state properties and low-energy excitations
- Optimal Vertex Cover for the Small-World Hanoi Networks
- Learning-Driven Annealing with Adaptive Hamiltonian Modification for Solving Large-Scale Problems on Quantum Devices
- Replica Symmetry and Replica Symmetry Breaking for the Traveling Salesperson Problem