Statistics of Deep Energy States in Coulomb Glasses

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.

arXiv comment4 pages, 4 figures

References in corpus (10)

• Universality Classes for Extreme Value Statistics
• The glass transition and the Coulomb gap in electron glasses
• Melting of the Electron Glass
• Universal Behavior of the Resistance Noise across the Metal-Insulator Transition in Silicon Inversion Layers
• Nonlinear screening theory of the Coulomb glass
• $1/f$ noise in variable range hopping conduction
• Glassy Motion of Elastic Manifolds
• Many electron theory of 1/f-noise in hopping conductivity
• Long time relaxation of interacting electrons in the regime of hopping conduction
• Temperature and field dependence of Dynamics in the Electron-Glass

Cited by in corpus (6)

• Density of States and Critical Behavior of the Coulomb Glass
• Thermoelectric performance of granular semiconductors
• Numerical observation of a glassy phase in the three-dimensional Coulomb glass
• Thermoelectric performance of weakly coupled granular materials
• Slow relaxation of conductance of amorphous hopping insulators
• Driven interfaces in random media at finite temperature : is there an anomalous zero-velocity phase at small external force ?