Mean field theory for the three-dimensional Coulomb glass

Abstract

We study the low temperature phase of the 3D Coulomb glass within a mean field approach which reduces the full problem to an effective single site model with a non-trivial replica structure. We predict a finite glass transition temperature $T_c$, and a glassy low temperature phase characterized by permanent criticality. The latter is shown to assure the saturation of the Efros-Shklovskii Coulomb gap in the density of states. We find this pseudogap to be universal due to a fixed point in Parisi's flow equations. The latter is given a physical interpretation in terms of a dynamical self-similarity of the system in the long time limit, shedding new light on the concept of effective temperature. From the low temperature solution we infer properties of the hierarchical energy landscape, which we use to make predictions about the master function governing the aging in relaxation experiments.

29 pages, 18 figures; version accepted to Phys. Rev. B, a few minor additions

References in corpus (3)

• Symmetrical field effect and slow electron relaxation in granular aluminium
• Heterogeneous dynamics of the three dimensional Coulomb glass out of equilibrium
• A quench-cooling procedure compared with the gate-protocol for aging experiments in the Electron-Glass

Cited by in corpus (24)

• Fractal free energy landscapes in structural glasses
• Marginal Stability in Structural, Spin and Electron Glasses
• Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions
• Density of States and Critical Behavior of the Coulomb Glass
• Cusps and shocks in the renormalized potential of glassy random manifolds: How Functional Renormalization Group and Replica Symmetry Breaking fit together
• Self-doping instability of the Wigner-Mott insulator
• Manifestation of ageing in the low temperature conductance of disordered insulators
• Memory effects in transport through a hopping insulator: Understanding two-dip experiments
• Critical behavior of the Coulomb-glass model in the zero-disorder limit: Ising universality in a system with long-range interactions
• Conductance relaxation in the Electron-Glass; Microwaves versus infra-red response
• Local field distributions in spin glasses
• Slow Conductance Relaxation in Insulating Granular Al: Evidence for Screening Effects
• Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model
• Coulomb Glasses: A Comparison Between Mean Field and Monte Carlo Results
• Evidence for thermal activation in the glassy dynamics of insulating granular aluminum conductance
• Mean-field theory of first-order quantum superconductor-insulator transition
• Two-dimensional Coulomb glass as a model for vortex pinning in superconducting films
• The effect of screening on the relaxation dynamics in the Coulomb glass
• Electron glass signatures up to room temperature in disordered insulators
• Quantum Coulomb glass on the Bethe lattice
• Critical behavior of the specific heat in Ti-Si amorphous alloys at the metal-insulator transition
• Phase Ordering Kinetics of the Asymmetric Coulomb Glass Model
• Relaxation of the Random Site Coulomb glass Model in Two Dimensions
• Formation of a transient amorphous solid in low density aqueous charged sphere suspensions