Analytical Properties of-Dimensional Energy Bands and Wannier Functions
- 3 August 1964
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 135 (3A), A698-A707
- https://doi.org/10.1103/physrev.135.a698
Abstract
If, in an -dimensional crystal, the structure of a simple () or complex () energy band fulfills proper symmetry conditions, the band can be spanned by a set of Wannier functions and, in many cases, the following statements can be established. (1) There exists a set of Bloch waves () or quasi Bloch waves () which are periodic and analytic functions of the complex wave vector in a domain of the complex K space defined by an equation of the form where is a positive constant. (2) The corresponding Wannier functions fall off exponentially at infinity.
This publication has 4 references indexed in Scilit:
- Energy Bands and Projection Operators in a Crystal: Analytic and Asymptotic PropertiesPhysical Review B, 1964
- Orthogonal Orbitals and Generalized Wannier FunctionsPhysical Review B, 1963
- Formalisms of Band TheoryPublished by Elsevier BV ,1962
- Analytic Properties of Bloch Waves and Wannier FunctionsPhysical Review B, 1959