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Interfaces (and Regional Congruence?) in Spin Glasses

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  • C. M. Newman
  • D. L. Stein

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=3,4. 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.

Suggested Citation

  • C. M. Newman & D. L. Stein, 2001. "Interfaces (and Regional Congruence?) in Spin Glasses," Working Papers 01-03-019, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:01-03-019
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