Stark Effect for Donors in Rolled-Up Quantum Well

We calculate energies of shallow donors confined in a rolled-up quantum well in the presence of the electric field by solving numerically the Schrodinger equation in natural curvilinear coordinates. It is found that the curves of density of states (DOSs) are very sensitive to the variation of the donor position, the geometry of the spiral and the applied electric field value. Novel results for dependencies of donor's dipole moment and its polarizability on the electric field strength and its orientation, for different donor positions are presented. Additionally, we found that the anisotropic Stark effect of the first order provides in this structure a dependency of the polarizability on the external electric field in a spike-like shape, giving rise to a sharp variation of the dipole moment.

Automated summary

This study calculates the energy levels of shallow donors in a rolled-up quantum well under an electric field using numerical solutions of the Schrodinger equation in natural curvilinear coordinates. It is found that the density of states curves are highly sensitive to variations in donor position, spiral geometry, and applied electric field strength. Additionally, the anisotropic Stark effect of the first order leads to spike-like variations in the polarizability and dipole moment in response to the external electric field.