1. Weighted average effective band structure of disordered solids.
- Author
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Abdollahi, Arash
- Subjects
- *
SOLIDS , *ELECTRONIC band structure , *BAND gaps - Abstract
[Display omitted] • A straightforward first-principles based method is proposed to determine the average electron band structure of disordered solids using supercell approach. • The average band gap and average effective mass of electron/hole in different valleys have been calculated for a number of alloys. • The method has the potential to explain and predict the experimental observations. • The method can be used to investigate the role of order/disorder in electronic properties of imperfect solids in one, two and three dimensions. In this paper, a straightforward first-principles based method is proposed to determine the average effective electron band structure of disordered solids using supercell approach and plane-wave basis. Calculations have been done by determining the expectation values of the supercell Hamiltonian in a primitive-cell-periodic basis. The formulation and implementation details are presented and discussed. Also, it is shown that, in the cases with small differences in bonding characteristics at atomic-scale resolution, the weighted average bands are almost continuous. Therefore, it is possible to calculate the average effective band gap and average effective mass of electron/hole in different valleys. Analysis of the results for a number of disordered compounds shows that the proposed technique has the potential to explain and predict the experimental observations. This method is a promising tool for the study of the role of order/disorder in the electronic properties of random alloys and 2D and 3D imperfect materials. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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