Phys. Rev. Lett. 81, 2554–2557 (1998)Droplet Phenomenology and Mean Field in a Frustrated Disordered SystemReceived 14 May 1998; published in the issue dated 21 September 1998 The low lying excited states of the three-dimensional minimum matching problem are studied numerically. The excitations' energies grow with their size and confirm the droplet picture. However, some low energy, infinite size excitations create multiple valleys in the energy landscape. These states violate the droplet scaling ansatz, and are consistent with mean field predictions. A similar picture may apply to spin glasses whereby the droplet picture describes the physics at small length scales, while mean field describes that at large length scales. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.2554
DOI:
10.1103/PhysRevLett.81.2554
PACS:
75.10.Nr, 02.60.Pn, 64.60.Cn
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