Ground state energy of an exciton in a spherical quantum dot in the presence of an external magnetic field

The problem of an exciton trapped in a three dimensional Gaussian quantum dot is studied in the presence of an external magnetic field. A variational method is employed to obtain the ground state energy of the exciton as a function of the quantum dot size, the confinement strength and the magnetic f...

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Bibliographic Details
Main Authors: Jahan K, Luhluh, Boda, Aalu, Chatterjee, Ashok
Format: Conference Proceeding
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONFINEMENT
GAUSS FUNCTION
GROUND STATES
MAGNETIC FIELDS
QUANTUM DOTS
SPHERICAL CONFIGURATION
THREE-DIMENSIONAL CALCULATIONS
TRAPPING
VARIATIONAL METHODS
VARIATIONS
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Summary:The problem of an exciton trapped in a three dimensional Gaussian quantum dot is studied in the presence of an external magnetic field. A variational method is employed to obtain the ground state energy of the exciton as a function of the quantum dot size, the confinement strength and the magnetic field. It is also shown that the variation of the size of the exciton with the radius of the quantum dot.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4915399