Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

Abstract

We rigorously rule out the appearance of multiple domain walls between ground states in 2D Edwards-Anderson Ising spin glasses (with periodic boundary conditions and, e.g., Gaussian couplings). This supports the conjecture that there is only a single pair of ground states in these models.

8 pages (LaTeX); 1 figure; to appear in Physical Review Letters

References in corpus (3)

• Triviality of the Ground State Structure in Ising Spin Glasses
• 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

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• Uniqueness of Ground States for Short-Range Spin Glasses in the Half-Plane
• Are There Incongruent Ground States in 2D Edwards-Anderson Spin Glasses?
• Ground states of two-dimensional $\pm$J Edwards-Anderson spin glasses
• Interfaces (and Regional Congruence?) in Spin Glasses
• Ground State Stability and the Nature of the Spin Glass Phase
• Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
• Realistic spin glasses below eight dimensions: a highly disordered view
• Zero-Temperature Fluctuations in Short-Range Spin Glasses
• A Relation between Disorder Chaos and Incongruent States in Spin Glasses on ${\mathbb{Z}}^d$
• The Binomial Spin Glass
• Free Energy Difference Fluctuations in Short-Range Spin Glasses
• Critical Droplets and Replica Symmetry Breaking
• Ground State Incongruence In 2D Spin Glasses Revisited