Variable range hopping in a non-equilibrium steady state

Abstract

We propose a Monte Carlo simulation to understand electron transport in a non-equilibrium steady state (\textit{NESS}) for the lattice Coulomb Glass model, created by continuous excitation of single electrons to high energies followed by relaxation of the system. Around the Fermi level, the \textit{NESS} state approximately obeys the Fermi-Dirac statistics, with an effective temperature ($T_{eff}$) greater than the system's bath temperature ($T$). $T_{eff}$ is a function of $T$ and the rate of photon absorption by the system. Furthermore, we find that the change in conductivity is only a function of relaxation times and is almost independent of the bath temperature. Our results indicate that the conductivity of the \textit{NESS} state can still be characterized by the Efros-Shklovskii law with an effective temperature $T_{eff}>T$. Additionally, the dominance of phonon-less hopping over phonon-assisted hopping is used to explain the relevance of the hot-electron model to the conductivity of the \textit{NESS} state.

arXiv comment8 pages, 7 figures

References in corpus (9)

• Long time relaxation of interacting electrons in the regime of hopping conduction
• Why Study Noise due to Two Level Systems: A Suggestion for Experimentalists
• Non-ohmic hopping transport in a-YSi: from isotropic to directed percolation
• A Numerical Study of Transport and Shot Noise at 2D Hopping
• Hot electron effects and non-linear transport in hole doped manganites
• Nonlinear conductivity of two-dimensional Coulomb glasses
• Finite temperature phase transition in the two-dimensional Coulomb glass at low disorders
• A Numerical Study of Coulomb Interaction Effects on 2D Hopping Transport
• Interaction induced spatial correlations in a Disordered Glass

Cited by in corpus (2)

• The effect of screening on the relaxation dynamics in the Coulomb glass
• Onset of nonequilibrium in a driven Anderson insulator