Energy-band structure of SiC polytypes by interface matching of electronic wave functions
- 15 March 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 49 (11) , 7564-7568
- https://doi.org/10.1103/physrevb.49.7564
Abstract
We interpret SiC polytypes as natural superlattices, consisting of mutually twisted cubic layers. A method is presented to calculate the electron band structure of any polytype, based on an empirical pseudopotential description of cubic SiC. Bloch and evanescent waves, belonging to cubic layers are matched at interfaces in order to make up the wave functions of the respective polytypes. Band gaps of hexagonal and rhombohedral modifications are in excellent agreement with experimental data such that the nearly linear relationship between the indirect gap and the hexagonal nature is reproduced. A simple explanation of this relationship is given in terms of a Kronig-Penney-like model.Keywords
This publication has 12 references indexed in Scilit:
- Twinning superlatticesSolid State Communications, 1993
- Matrix method for tunneling in heterostructures: Resonant tunneling in multilayer systemsPhysical Review B, 1988
- Inter-layer interactions and the origin of SiC polytypesJournal of Physics C: Solid State Physics, 1988
- Ground-state properties of wurtzite silicon carbideSolid State Communications, 1988
- Calculations of bound states in the valence band of AlAs/GaAs/AlAs and AlGaAs/GaAs/AlGaAs quantum wellsSemiconductor Science and Technology, 1987
- Confirmation of an ANNNI-Like Model for Polytypism in SiCEurophysics Letters, 1987
- Ground-state properties of polytypes of silicon carbidePhysical Review B, 1986
- Complex band structures of crystalline solids: An eigenvalue methodPhysical Review B, 1982
- Energy Band Structures of Four Polytypes of Silicon Carbide Calculated with the Empirical Pseudopotential MethodPhysica Status Solidi (b), 1970
- Optical Properties of Cubic SiC: Luminescence of Nitrogen-Exciton Complexes, and Interband AbsorptionPhysical Review B, 1964