Statistics of Deep Energy States in Coulomb Glasses
A. Glatz, V.M. Vinokur, Y. M. Galperin
TL;DR
This paper investigates the statistical properties of energy minima and relaxation dynamics in Coulomb glasses, revealing exponential distributions and logarithmic relaxation linked to the system's ultrametric structure.
Contribution
It provides new insights into the distribution of local energy minima and the relaxation behavior in Coulomb glasses, connecting these to extreme value statistics and ultrametricity.
Findings
Local energy minima follow an exponential distribution.
Energy relaxation exhibits logarithmic time dependence.
Ultrametric structure influences relaxation dynamics.
Abstract
We study the statistics of local energy minima in the configuration space and the energy relaxation due to activated hopping in a system of interacting electrons in a random environment. The distribution of the local minima is exponential, which is in agreement with extreme value statistics considerations. The relaxation of the system energy shows logarithmic time dependence reflecting the ultrametric structure of the system.
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