From Linear to Nonlinear Response in Spin Glasses: Importance of Mean-Field-Theory Predictions

Details From Linear to Nonlinear Response in Spin Glasses: Importance of Mean-Field-Theory Predictions From Linear to Nonlinear Response in Spin Glasses: Importance of Mean-Field-Theory Predictions

2001-12-29

arxiv.org/abs/cond-mat/0112489v2

Physical Review B 66, 014412 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 10 figures

Scientific paper

10.1103/PhysRevB.66.014412

Deviations from spin-glass linear response in a single crystal Cu:Mn 1.5 at % are studied for a wide range of changes in magnetic field, $\Delta H$. Three quantities, the difference $TRM-(MFC-ZFC)$, the effective waiting time, $t_{w}^{eff}$, and the difference $TRM(t_{w})-TRM(t_{w}=0)$ are examined in our analysis. Three regimes of spin-glass behavior are observed as $\Delta H$ increases. Lines in the $(T,\Delta H)$ plane, corresponding to ``weak'' and ``strong'' violations of linear response under a change in magnetic field, are shown to have the same functional form as the de Almeida-Thouless critical line. Our results demonstrate the existence of a fundamental link between static and dynamic properties of spin glasses, predicted by the mean-field theory of aging phenomena.

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