Electrostatic potential
Poisson Equation
This equation governs the relation between the electrostatic potential
where
When the Schrödinger-Poisson equation is solved the carrier densities defined in either multi-band model or single-band model are substituted into this
This cycle is continued until the carrier densities satisfies the convergence criteria.
The final result of
On the other hand, when only the Poisson equation is solved, the carrier densities are calculated according to (2.2.3) and (2.2.4) instead. We can say in other words that the carrier density calculation in the context of Thomas-Fermi approximation and the Poisson equation are self-consistent with respect to the resulting carrier densities and electrostatic potential.
Last update: 04/12/2024