Avalanches in the Relaxation Dynamics of Electron Glasses

Martin Goethe; Matteo Palassini

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arXiv · 1808.01466

Avalanches in the Relaxation Dynamics of Electron Glasses

Martin Goethe·Matteo Palassini

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Abstract

We study the zero-temperature relaxation dynamics of an electron glass model with single-electron hops. We find numerically that in the charge rearrangements (avalanches) triggered by displacing an electron, the number of electron hops has a scale-free, power-law distribution up to a cutoff diverging with the system size $N$, independently of the disorder strength and provided hops of arbitrary length are allowed. In avalanches triggered by the injection of an extra electron, the distribution does not have a power-law limit, but its mean diverges non-trivially with $N$. In both cases, the avalanche statistics is well reproduced by a branching process model that assumes independent hops. Qualitative differences with avalanches in infinite-range spin glasses and related systems are discussed.

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Martin Goethe, Matteo Palassini. 2018-08-04. Avalanches in the Relaxation Dynamics of Electron Glasses. https://arxiv.org/abs/1808.01466

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