Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-03-30
Phys. Rev. Lett. 87, (2001), 077201-1
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages (ReVTeX); 1 figure; submitted to Physical Review Letters
Scientific paper
10.1103/PhysRevLett.87.077201
We present a general theorem restricting properties of interfaces between thermodynamic states and apply it to the spin glass excitations observed numerically by Krzakala-Martin and Palassini-Young in spatial dimensions d=3 and 4. We show that such excitations, with interface dimension smaller than d, cannot yield regionally congruent thermodynamic states. More generally, zero density interfaces of translation-covariant excitations cannot be pinned (by the disorder) in any d but rather must deflect to infinity in the thermodynamic limit. Additional consequences concerning regional congruence in spin glasses and other systems are discussed.
Newman Charles M.
Stein Daniel L.
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