1/f noise and slow relaxations in glasses

Abstract

Recently we have shown that slow relaxations in the electron glass system can be understood in terms of the spectrum of a matrix describing the relaxation of the system close to a metastable state. The model focused on the electron glass system, but its generality was demonstrated on various other examples. Here, we study the noise spectrum in the same framework. We obtain a remarkable relation between the spectrum of relaxation rates $\lambda$ described by the distribution function $P(\lambda )\sim 1/\lambda$ and the $1/f$ noise in the fluctuating occupancies of the localized electronic sites. This noise can be observed using local capacitance measurements. We confirm our analytic results using numerics, and also show how the Onsager symmetry is fulfilled in the system.

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• High Resolution Spectroscopy of Two-Dimensional Electron Systems
• Localization, anomalous diffusion and slow relaxations: a random distance matrix approach
• A quench-cooling procedure compared with the gate-protocol for aging experiments in the Electron-Glass
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Cited by in corpus (5)

• On relaxations and aging of various glasses
• Nonmonotonic Aging and Memory Retention in Disordered Mechanical Systems
• Electron Glass Dynamics
• Localization, anomalous diffusion and slow relaxations: a random distance matrix approach
• Universal frequency-dependent conduction of electron glasses