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Exciton dispersion in quantum wells
Author(s) -
Siarkos A.,
Runge E.,
Zimmermann R.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199811)7:5/6<523::aid-andp523>3.0.co;2-d
Subject(s) - eigenfunction , exciton , physics , eigenvalues and eigenvectors , dispersion (optics) , matrix (chemical analysis) , quantum mechanics , coupling (piping) , quantum well , quantum , materials science , laser , metallurgy , composite material
We present for the first time numerical calculations of the center‐of‐mass (c.o.m.) dispersion of an exciton in a quantum well using a finite‐differences method. The coupling of heavy‐ and light‐hole bands is accounted for in → k · → p ‐theory, while the conduction band dispersion is assumed parabolic. We motivate a suitable choice of the c.o.m. coordinate system, which increases remarkably the numerical accuracy for finite c.o.m. wavevector. The desired eigenvalues and eigenfunctions of the involved huge matrices are calculated with modern iterative sparse matrix solvers. Results are shown for the example case of a GaAs/Ga 7 Al 3 As 〈100〉 quantum well.