Numerical Discretization of Energy-Transport Models for Semiconductors with Nonparabolic Band Structure

Institute for Mathematical Physics Numerical Discretization of Energy{transport Models for Semiconductors with Non{parabolic Band Structure Numerical Discretization of Energy-transport Models for Semiconductors with Non-parabolic Band Structure

The energy-transport models describe the ow of electrons through a semiconductor crystal , innuenced by diiusive, electrical and thermal eeects. They consist of the continuity equations for the mass and the energy, coupled to Poisson's equation for the electric potential. These models can be derived from the semiconductor Boltzmann equation. This paper consists of two parts. The rst part concer...

Carrier-carrier relaxation kinetics in quantum well semiconductor structures with nonparabolic energy bands

Energy Transport in Semiconductor Devices

The modeling, analysis, and numerical approximation of energy-transport models for semiconductor devices is reviewed. The derivation of the partial differential equations from the semiconductor Boltzmann equation is sketched. Furthermore, the main ideas for the analytical treatment of the equations, employing thermodynamic principles, are given. A new result is the proof of the weak sequential ...

Effect of band structure discretization on the performance of full-band Monte Carlo simulation

Full-band Monte Carlo simulation offers a very accurate simulation technique, but is often limited by its high demand on computation time. The advantage of a numerical representation of the band structure over an analytical approximation is the accurate representation of the energy bands in the high energy regime. This allows accurate treatment of hot carrier effects in semiconductors. In this ...

Investigation of the Effect of Band Offset and Mobility of Organic/Inorganic HTM Layers on the Performance of Perovskite Solar Cells

Abstract: Perovskite solar cells have become an attractive subject in the solar energydevice area. During ten years of development, the energy conversion efficiency has beenimproved from 2.2% to more than 22%, and it still has a very good potential for furtherenhancement. In this paper, a numerical model of the perovskite solar cell with thestructure of glass/ FTO/ TiO2/...