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April 24, 2000Physical Review Letters31 citationsOpen Access

Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

CNCharles M. NewmanDSD. L. Stein

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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.

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Newman et al. (2000) studied this question.

synapsesocial.com/papers/6a1bcf70d54006be995f0891https://doi.org/10.1103/physrevlett.84.3966
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Spatial Inhomogeneity and Thermodynamic Chaos1996 · 90 citations
  2. 2Non-Mean-Field Behavior of Realistic Spin Glasses1996 · 121 citations
  3. 3Numerical Investigation of the Thermodynamic Limit for Ground States in Models with Quenched Disorder1999 · 47 citations
  4. 4Multiple states and thermodynamic limits in short-ranged Ising spin-glass models1992 · 103 citations
  5. 5Metastate approach to thermodynamic chaos1997 · 91 citations