Analysis of Surface States of Crystals Using Ideas of Dynamical Theory of Diffraction
Abstract
Abstract Dynamical theory of surface states of nearly free electrons in a semi-infinite crystal are investigated. In addition to the results known in the theory of Bloch wave formalism with a complex wave vector, some new results were obtained. In particular, it is shown that surface states can be realized only at sufficiently small Bragg angles. An estimate of this angle is obtained. The width of the spatial localization region of electrons near the surface is also estimated. It is found that it is of the order of several tens of Ångströms.
Fields of Study & Subjects
Crystallography and Radiation Phenomena
Topological Materials and Phenomena
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Journal of Contemporary Physics (Armenian Academy of Sciences)
- Publisher
- Pleiades Publishing Ltd
- Volume
- 61
- Issue
- 1
- Pages
- 76–83
- Publication date
- 1 March 2026
- Language
- EN