Electronic states in ideal free standing films

TL;DR

This paper provides exact analytical results for electronic states in ideal free-standing films, extending to quantum wires and dots, based on bulk band structures, offering a comprehensive understanding of confined electronic states.

Contribution

It introduces a general analytical framework for determining electronic states in free-standing films, quantum wires, and dots from bulk band structures, which was not previously available.

Findings

Analytical expressions for electronic states in FCC (001) and (110) films.

Extension of the approach to quantum wires and dots.

Exact results linking film states to bulk band structures.

Abstract

Exact and general results on the electronic states in ideal free standing films are presented. In many interesting cases, such as in FCC (001) films and in FCC (110) films, the energies of most electronic states in the film can be analytically obained from the corresponding energy band structure of the bulk. This approach can be further extended to obtain exact and general results on the electronic states in quantum wires and quantum dots.