SOLUTION TO THE EXCITONIC PROBLEM OF AN ELECTRON IN A QUANTUM WIRE AND A HOLE IN A PERPENDICULAR 2D QUANTUM LAYER

Marcelo Del Castilio-Mussot, J. Adrian Reyes, Honorato A. Coyotécatl and Gregorio H. Cocoletzi
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Marcelo Del Castilio-Mussot: Instituto de Física, Universidad Nacional Autónama de México, Apartado Postal 20-364 01000, México, Distrito Federal, Mexico
J. Adrian Reyes: Instituto de Física, Universidad Nacional Autónama de México, Apartado Postal 20-364 01000, México, Distrito Federal, Mexico
Honorato A. Coyotécatl: Facultad de Ciencias de la Electrónica, Universidad Autónoma de Puebla, Ciudad Universitaria, Puebla 72570, Mexico
Gregorio H. Cocoletzi: Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico

Surface Review and Letters (SRL), 2002, vol. 09, issue 05n06, 1651-1654

Abstract: We calculate the states of an exciton formed by an electron confined in a 1D quantum wire (QW) and a hole confined in a 2D quantum layer (QL) perpendicular to the QW. The effective potential can be exactly calculated in the particular case where the confinement thicknesses are the same for the QW and QL. This effective potential can be used to calculate the exciton states for arbitrary confinement thicknesses, but here we show that in the limit of vanishing thickness the solution of our equation is very similar to the 3D bulk exciton equations, and therefore we can use these 3D exciton solutions as a basis for our system in a quantum perturbative approach.

Date: 2002
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DOI: 10.1142/S0218625X02004153

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