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Interfaces (and Regional Congruence?) in Spin Glasses

C. M. Newman·D. L. Stein
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Abstract

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.

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C. M. Newman, D. L. Stein. 2001-03-30. Interfaces (and Regional Congruence?) in Spin Glasses. https://doi.org/10.1103/physrevlett.87.077201

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