Detailed formulation of energy balance equations in single quantum well devices
ISSN: 0332-1649
Article publication date: 1 September 2002
Abstract
An energy balance equation model coupled with drift‐diffusion transport equations are solved in heterojunction p‐i‐n diodes with embedded single quantum well to model hot electron effects. A detailed formulation of hot electron transport is presented. In the well, the carrier energy levels are estimated from the analytical expressions applied to a quantum well with finite height. Both bound and free carriers are modeled by Fermi‐Dirac statistics. Both size quantization and the two dimensional density of states in the well are considered. Thermionic emission is applied to the heterojunctions and quantum wells boundary. Energy transfer among the charge carriers and crystal lattice is modeled by an energy relaxation lifetime. Two sets of devices are simulated. First, the simulated kinetic energy and carrier density profiles were compared with published Monte Carlo results on an GaAs n+/n/n+ diode. Second, the current‐voltage characteristics of an embedded single quantum well AlGaAs/GaAs p‐i‐n structure was compared with measured data. Both comparisons are satisfactory and demonstrate the usefulness of the model for studying quantum well structures.
Keywords
Citation
Fardi, H.Z. (2002), "Detailed formulation of energy balance equations in single quantum well devices", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 21 No. 3, pp. 425-437. https://doi.org/10.1108/03321640210423324
Publisher
:MCB UP Ltd
Copyright © 2002, MCB UP Limited