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

Abstract

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.

arXiv comment9 pages, 10 figures

References in corpus (14)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Measuring equilibrium properties in aging systems
• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Weak-ergodicity breaking in mean-field spin-glass models
• Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
• The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium
• Fluctuation Dissipation Ratio in Three-Dimensional Spin Glasses
• Static chaos and scaling behaviour in the spin-glass phase
• Ordering in a spin glass under applied magnetic field
• Zero-temperature responses of a 3D spin glass in a field
• 4D Spin Glasses in Magnetic Field Have a Mean Field like Phase
• A Search for Fluctuation-Dissipation Theorem Violations in Spin-Glasses from Susceptibility Data
• Testing replica predictions in experiments

Cited by in corpus (4)

• A Role of Initial Conditions in Spin-Glass Aging Experiments
• Off-equilibrium fluctuation-dissipation relation in a spin glass
• Aging, rejuvenation, and memory effects in short-range Ising spin glass: Cu${}_{0.5}$Co${}_{0.5}$Cl${}_2$-FeCl${}_3$ graphite bi-intercalation compound
• Evidence that the AT transition disappears below six dimensions