Magnetoexciton dispersion in GaAs-(Ga,Al)As single and coupled quantum

dc.creatorKoinov, Z. G.
dc.date2008-11-08
dc.date2008-11-22
dc.date.accessioned2026-07-07T10:19:50Z
dc.date.available2026-07-07T10:19:50Z
dc.descriptionWe discuss magnetoexcitons dispersion in single and coupled $GaAs-(Ga,Al)As$ quantum wells using the Bethe-Salpeter (B-S) formalism. The B-S formalism in the case of quantum wells provides an equation for the exciton wave function which depends on two space variables plus the time variable, i.e. the B-S equation is 2+1-dimensional equation. We compare the results for magnetoexcitons dispersion, obtained in the LLL approximations with the results calculated by solving the exact B-S equation. It is shown that the exact B-S equation has an extra term (B-S term) that does not exist in the LLL approximation. Within the framework of the variational method, we obtain that, (i) the ground-state energy of a heavy-hole magnetoexciton with a zero wave vector in $GaAs-(Ga,Al)As$ quantum wells, calculated by means of the exact B-S equation, is very close to the ground-state energy, obtained in the LLL approximation, (ii) in a strong perpendicular magnetic field the magnetoexciton dispersion (in-plane magnetoexciton mass) is determined mainly by the B-S term rather than the term that describes the electron-hole Coulomb interaction in the LLL approximation.
dc.identifierhttps://arxiv.org/abs/0811.1251
dc.identifierhttp://arxiv.org/abs/0811.1251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174658
dc.subjectMaterials Science
dc.titleMagnetoexciton dispersion in GaAs-(Ga,Al)As single and coupled quantum
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