Title: Coupled dynamics of fast spins and slow exchange interactions in the XY spin glass
Authors: Jongen, G
Anemuller, J
Bollé, Désiré
Coolen, ACC
Perez-Vicente, C #
Issue Date: May-2001
Publisher: Iop publishing ltd
Series Title: Journal of Physics A. Mathematical and General vol:34 issue:19 pages:3957-3984
Abstract: We investigate an XY spin-glass model in which both spins and interactions (or couplings) evolve in time, but with widely separated time-scales. For large times this model can be solved using replica theory, requiring two levels of replicas, one level for the spins and one for the couplings. We define the relevant order parameters, and derive a phase diagram in the replica-symmetric approximation, which exhibits two distinct spin-glass phases. The first phase is characterized by freezing of the spins only, whereas in the second phase both spins and couplings are frozen. A detailed stability analysis also leads to two distinct corresponding de Almeida-Thouless lines, each marking continuous replica-symmetry breaking. Numerical simulations support our theoretical study.
ISSN: 0305-4470
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
# (joint) last author

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