Interfaces (and Regional Congruence?) in Spin Glasses
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=3,4. We show that such excitations, with interface dimension strictly 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.
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|Date of creation:||Mar 2001|
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Web page: http://www.santafe.edu/sfi/publications/working-papers.html
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