Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

Details Nature of Ground State Incongruence in Two-Dimensional Spin Glasses Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

2000-03-06

arxiv.org/abs/cond-mat/0003083v1

Phys. Rev. Lett., 84 (2000) 3966

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevLett.84.3966

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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