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Interfaces and the Question of Regional Congruence in Spin Glasses

Interfaces and the Question of 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 and Martin and separately by Palassini and Young in spatial dimensions d = 3 , 4 . We show that such excitations, with interface dimension d s < 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Interfaces and the Question of Regional Congruence in Spin Glasses

Physical Review Letters , Volume 87 (7) – Aug 13, 2001
4 pages

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References (4)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2001 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.87.077201
pmid
11497912
Publisher site
See Article on Publisher Site

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 and Martin and separately by Palassini and Young in spatial dimensions d = 3 , 4 . We show that such excitations, with interface dimension d s < 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.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Aug 13, 2001

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