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Condensed Matter > Disordered Systems and Neural Networks

arXiv:cond-mat/9606033 (cond-mat)
[Submitted on 6 Jun 1996 (v1), last revised 16 Dec 1996 (this version, v2)]

Title:Site Disordered Spin Systems in the Gaussian Variational Approximation

Authors:David Dean, David Lancaster (Univ.Roma I)
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Abstract: We define a replica field theory describing finite dimensional site disordered spin systems by introducing the notion of grand canonical disorder, where the number of spins in the system is random but quenched. A general analysis of this field theory is made using the Gaussian variational or Hartree Fock method, and illustrated with several specific examples. Irrespective of the form of interaction between the spins this approximation predicts a spin glass phase. We discuss the replica symmetric phase at length, explicitly identifying the correlator that diverges at the spin glass transition. We also discuss the form of continuous replica symmetry breaking found just below the transition. Finally we show how an analysis of ferromagnetic ordering indicates a breakdown of the approximation.
Comments: Replaced with version to be published. 33 pages, 3 postscript figures, using harvmac. Also available at this http URL
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn)
Report number: Univ.Roma I,1146/96
Cite as: arXiv:cond-mat/9606033 [cond-mat.dis-nn]
  (or arXiv:cond-mat/9606033v2 [cond-mat.dis-nn] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9606033
Related DOI: https://doi.org/10.1088/0305-4470/30/1/005

Submission history

From: David Lancaster [view email]
[v1] Thu, 6 Jun 1996 08:13:13 UTC (54 KB)
[v2] Mon, 16 Dec 1996 16:39:12 UTC (53 KB)
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