Premium
Excitonic states and their wave functions in anisotropic materials: A computation using the finite‐element method and its application to AlN
Author(s) -
Gil Bernard,
Felbacq Didier,
Guizal Brahim,
Bouchitté Guy
Publication year - 2012
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201100142
Subject(s) - anisotropy , wave function , computation , finite element method , symmetry (geometry) , physics , function (biology) , interpretation (philosophy) , element (criminal law) , condensed matter physics , oscillator strength , quantum mechanics , computational physics , mathematics , geometry , computer science , algorithm , evolutionary biology , biology , political science , law , thermodynamics , programming language , spectral line
We have computed the excitonic states in the case of cylindrical symmetry as a function of the anisotropy using the finite‐element method. The wave functions are also obtained and are presented for m = 0, the states coupled with the electromagnetic fields. We illustrate for instance that the state dominantly built from the 3d 0 hydrogenic level has a non‐vanishing oscillator strength when the anisotropy increases. As an illustration we conclude our message by the application of that calculation to the interpretation of the 1s–2s splitting in the specific case of aluminum nitride using the predictions of very recent band‐structure calculations.