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paper

Quantum theory of space charge limited current in solids

arXiv:1411.4659 · doi:10.1063/1.4913512

Abstract

We present a quantum model of space charge limited current transport inside trap-free solids with planar geometry in the mean field approximation. We use a simple transformation which allows us to find the exact analytical solution for the steady state current case. We use our approach to find a Mott-Gurney like behavior and the mobility for single charge carriers in the quantum regime in solids.

4 pages