3.3 Supply Function Modeling

The supply function describes the difference in the supply of carriers at the interfaces of the dielectric layer. Following (3.12), it is given as

$$N({\mathcal{E}}_x) = \int_0^\infty \left(f_1({\mathcal{E}}) -f_2({\mathcal{E}})\right) \ensuremath {\mathrm{d}}{\mathcal{E}}_\rho \ ,$$ (3.14)

where $f_1$ and $f_2$ denote the energy distribution functions near the interfaces. Since the exact shape of these distributions is usually not known, approximative shapes are commonly used. Furthermore it is assumed that the distributions are isotropic.

Subsections

• 3.3.1 FERMI-DIRAC Distribution
• 3.3.2 MAXWELL-BOLTZMANN Distribution
• 3.3.3 Non-MAXWELLian Distributions
• 3.3.4 Normalization

A. Gehring: Simulation of Tunneling in Semiconductor Devices