Abstract
There is a great interest in the properties of electrons in nanostructures with superposed potentials varying slowly in space, or with slowly graded composition, or both. The quantum mechanics of these electrons, moving in nearly periodic potentials, is conveniently described in a basis of localized generalized Wannier functions, similar to the conventional Wannier functions for strictly periodic potentials. This has led us to consider generalized Wannier functions for (i) weakly perturbed and (ii) compositionally graded crystals. We first construct generalized Wannier functions for uniform crystals with an everywhere weak perturbation. The corrections to an unperturbed Wannier function of a given band may be chosen to involve only the unperturbed Wannier functions from other bands. We then consider crystals with slowly varying composition, and construct generalized Wannier functions from the Wannier functions of uniform crystals.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.