G Jongen et al 2001 J. Phys. A: Math. Gen. 34 3957 doi:10.1088/0305-4470/34/19/302
Coupled dynamics of fast spins and slow exchange interactions in the XY spin glass
G Jongen1, J Anemüller2, D Bollé1, A C C Coolen2 and C Pérez-Vicente3
Show affiliationsWe 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.
- PACS
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75.10.Nr Spin-glass and other random models
- MSC
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82D30 Random media, disordered materials (including liquid crystals and spin glasses)
- Subjects
- Dates
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Issue 19 (18 May 2001)
Received 9 November 2000, in final form 26 February 2001
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Coupled dynamics of fast spins and slow exchange interactions in the XY spin glass
G Jongen et al 2001 J. Phys. A: Math. Gen. 34 3957
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