Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

C.M. Newman (Courant Institute of Mathematical Sciences; D.L. Stein (Departments of Physics; Mathematics; New York University); University of Arizona)

arxiv: cond-mat/0003083 · v1 · submitted 2000-03-06 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech· math-ph· math.MP· math.PR

Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

C.M. Newman (Courant Institute of Mathematical Sciences , New York University) , D.L. Stein (Departments of Physics , Mathematics , University of Arizona) This is my paper

classification ❄️ cond-mat.dis-nn cond-mat.stat-mechmath-phmath.MPmath.PR

keywords groundglassesspinstatesappearanceboundaryconditionsconjecture

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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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Nature of Ground State Incongruence in Two-Dimensional Spin Glasses

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