The system of correlation kinetic equations and the generalized equivalent circuit for hopping transport

Abstract

We derive the system of equations that allows to include non-equilibrium correlations of filling numbers into the theory of the hopping transport. The system includes the correlations of arbitrary order in a universal way and can be cut at any place relevant to a specific problem to achieve the balance between rigor and computation possibilities. In the linear-response approximation, it can be represented as an equivalent electric circuit that generalizes the Miller-Abrahams resistor network. With our approach, we show that non-equilibrium correlations are essential to calculate conductivity and distribution of currents in certain disordered systems. Different types of disorder affect the correlations in different applied fields. The effect of energy disorder is most important at weak electric fields while the position disorder by itself leads to non-zero correlations only in strong fields.

References in corpus (1)

• Memory effects, two color percolation, and the temperature dependence of Mott's variable range hopping

Cited by in corpus (3)

• Microscopic theory of OMAR based on kinetic equations for quantum spin correlations
• Dynamic spin polarization in organic semiconductors with intermolecular exchange interaction
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