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Interfaces (and Regional Congruence?) in Spin Glasses

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 نشر من قبل Daniel L. Stein
 تاريخ النشر 2001
  مجال البحث فيزياء
والبحث باللغة English
 تأليف C.M. Newman




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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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