Quantum-Confined Systems
The Schrödinger Equation Interface enables the simulation of quantum-confined systems such as quantum wells, wires, and dots. The single-particle Schrödinger Equation is solved for the electron or hole wave function under the assumption of the envelope function approximation.
The Schrödinger–Poisson Equation Multiphysics Interface creates a bidirectional coupling between an Electrostatics physics interface and a Schrödinger Equation physics interface, to model charge carriers in quantum-confined systems. The electric potential from the Electrostatics contributes to the potential energy term in the Schrödinger Equation. A statistically weighted sum of the probability densities from the eigenstates of the Schrödinger Equation contributes to the space charge density in the Electrostatics. All spatial dimensions (1D, 1D axial symmetry, 2D, 2D axial symmetry, and 3D) are supported. A dedicated Schrödinger-Poisson Study Step is available for automated generation of self-consistent iterations in the solver sequence.
For faster engineering investigations of devices affected by quantum confinement, the density-gradient formulation (under Discretization) of The Semiconductor Interface can be used.