On the Effects of Changing the Boundary Conditions on the Ground State of Ising Spin Glasses
arXiv:cond-mat/0005047 · doi:10.1103/PhysRevB.62.11677
Abstract
We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system, we analyze the average link overlap, the probability distribution of window overlaps (among ground states computed with different boundary conditions) and the spatial overlap and link overlap correlation functions. We establish that the picture based on Replica Symmetry Breaking correctly describes the behavior of 3D Spin Glasses.
25 pages with 11 ps figures included
References in corpus (5)
- Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
- Triviality of the Ground State Structure in Ising Spin Glasses
- Renormalization for Discrete Optimization
- Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder
- Trivial Ground State Structure in the Two-Dimensional Ising Spin Glass
Cited by in corpus (35)
- Ordering and Broken Symmetry in Short-Ranged Spin Glasses
- Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
- Large-Scale, Low-Energy Excitations in the Two-Dimensional Ising Spin Glass
- Domain-wall excitations in the two-dimensional Ising spin glass
- Large-scale low-energy excitations in 3-d spin glasses
- Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions
- Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field
- Number of thermodynamic states in the three-dimensional Edwards-Anderson spin glass
- Fractal dimension of interfaces in Edwards-Anderson spin glasses for up to six space dimensions
- Some considerations of finite dimensional spin glasses
- The droplet-scaling versus replica symmetry breaking debate in spin glasses revisited
- On the structure of correlations in the three dimensional spin glasses
- Spin glasses and algorithm benchmarks: A one-dimensional view
- Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
- Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions
- Critical properties of the three- and four-dimensional gauge glass
- Introduction to Monte Carlo Methods
- Finite-Dimensional Spin Glasses: States, Excitations, and Interfaces
- Genetic embedded matching approach to ground states in continuous-spin systems
- Cyclic Quantum Annealing: Searching for Deep Low-Energy States in 5000-Qubit Spin Glass
- Ground State Stability and the Nature of the Spin Glass Phase
- Energetics of clusters in the two-dimensional Ising spin glass
- Non-trivial link overlap distribution in three-dimensional Ising spin glasses
- Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
- Low T Dynamical Properties of Spin Glasses Smoothly Extrapolate to T=0
- Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
- Scaling approach to order-parameter fluctuations in disordered frustrated systems
- The Binomial Spin Glass
- Numerical simulations of Ising spin glasses with free boundary conditions: the role of droplet excitations and domain walls
- The Effect of Pure State Structure on Nonequilibrium Dynamics
- The Eigenvalue Analysis of the Density Matrix of 4D Spin Glasses Supports Replica Symmetry Breaking
- Free Energy Difference Fluctuations in Short-Range Spin Glasses
- Critical Droplets and Replica Symmetry Breaking
- Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses
- Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman