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. © 2015 AIP Publishing LLC.

authors

• González Contreras Gabriel

publication date

• 2015-01-01

published in

• Journal of Applied Physics  Journal

keywords

• Carrier transport; Electric conductivity; Geometry; Quantum theory; Exact analytical solutions; Mean field approximation; Planar geometries; Quantum modeling; Quantum regimes; Single charge carriers; Space charge limited currents; Steady-state currents; Quantum chemistry

Digital Object Identifier (DOI)

• 10.1063/1.4913512

start page

end page

volume

• 117

issue

• 8