Magnetooptical absorption in semiconducting spherical quantum dots: Influence of the dotsize, confining potential, and magnetic field
Abstract
Semiconducting quantum dots – more fancifully dubbed artificial atoms – are quasizero dimensional, tiny, manmade systems with charge carriers completely confined in all three dimensions. The scientific quest behind the synthesis of quantum dots is to create and control future electronic and optical nanostructures engineered through tailoring size, shape, and composition. The complete confinement – or the lack of any degree of freedom for the electrons (and/or holes) – in quantum dots limits the exploration of spatially localized elementary excitations such as plasmons to direct rather than reciprocal space. Here we embark on a thorough investigation of the magnetooptical absorption in semiconducting spherical quantum dots characterized by a confining harmonic potential and an applied magnetic field in the symmetric gauge. This is done within the framework of BohmPines’ randomphase approximation that enables us to derive and discuss the full Dyson equation that takes proper account of the Coulomb interactions. As an application of our theoretical strategy, we compute various singleparticle and manyparticle phenomena such as the FockDarwin spectrum; Fermi energy; magnetooptical transitions; probability distribution; and the magnetooptical absorption in the quantum dots. It is observed that the role of an applied magnetic field on the absorption spectrum is comparable tomore »
 Authors:

 Department of Physics and Astronomy, Rice University, P.O. Box 1892, Houston, TX 77251 (United States)
 Publication Date:
 OSTI Identifier:
 22420224
 Resource Type:
 Journal Article
 Journal Name:
 AIP Advances
 Additional Journal Information:
 Journal Volume: 4; Journal Issue: 12; Other Information: (c) 2014 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 21583226
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE; ABSORPTION; ABSORPTION SPECTRA; DEGREES OF FREEDOM; EXCITATION; HARMONIC POTENTIAL; MAGNETIC FIELDS; PARTICLES; QUANTUM COMPUTERS; QUANTUM DOTS; RANDOM PHASE APPROXIMATION; SPHERICAL CONFIGURATION; SYNTHESIS; TWODIMENSIONAL SYSTEMS
Citation Formats
Kushwaha, Manvir S. Magnetooptical absorption in semiconducting spherical quantum dots: Influence of the dotsize, confining potential, and magnetic field. United States: N. p., 2014.
Web. doi:10.1063/1.4905380.
Kushwaha, Manvir S. Magnetooptical absorption in semiconducting spherical quantum dots: Influence of the dotsize, confining potential, and magnetic field. United States. doi:10.1063/1.4905380.
Kushwaha, Manvir S. Mon .
"Magnetooptical absorption in semiconducting spherical quantum dots: Influence of the dotsize, confining potential, and magnetic field". United States. doi:10.1063/1.4905380.
@article{osti_22420224,
title = {Magnetooptical absorption in semiconducting spherical quantum dots: Influence of the dotsize, confining potential, and magnetic field},
author = {Kushwaha, Manvir S.},
abstractNote = {Semiconducting quantum dots – more fancifully dubbed artificial atoms – are quasizero dimensional, tiny, manmade systems with charge carriers completely confined in all three dimensions. The scientific quest behind the synthesis of quantum dots is to create and control future electronic and optical nanostructures engineered through tailoring size, shape, and composition. The complete confinement – or the lack of any degree of freedom for the electrons (and/or holes) – in quantum dots limits the exploration of spatially localized elementary excitations such as plasmons to direct rather than reciprocal space. Here we embark on a thorough investigation of the magnetooptical absorption in semiconducting spherical quantum dots characterized by a confining harmonic potential and an applied magnetic field in the symmetric gauge. This is done within the framework of BohmPines’ randomphase approximation that enables us to derive and discuss the full Dyson equation that takes proper account of the Coulomb interactions. As an application of our theoretical strategy, we compute various singleparticle and manyparticle phenomena such as the FockDarwin spectrum; Fermi energy; magnetooptical transitions; probability distribution; and the magnetooptical absorption in the quantum dots. It is observed that the role of an applied magnetic field on the absorption spectrum is comparable to that of a confining potential. Increasing (decreasing) the strength of the magnetic field or the confining potential is found to be analogous to shrinking (expanding) the size of the quantum dots: resulting into a blue (red) shift in the absorption spectrum. The Fermi energy diminishes with both increasing magneticfield and dotsize; and exhibits sawtoothlike oscillations at large values of field or dotsize. Unlike laterally confined quantum dots, both (upper and lower) magnetooptical transitions survive even in the extreme instances. However, the intraLandau level transitions are seen to be forbidden. The spherical quantum dots have an edge over the strictly twodimensional quantum dots in that the additional (magnetic) quantum number makes the physics richer (but complex). A deeper grasp of the Coulomb blockade, quantum coherence, and entanglement can lead to a better insight into promising applications involving lasers, detectors, storage devices, and quantum computing.},
doi = {10.1063/1.4905380},
journal = {AIP Advances},
issn = {21583226},
number = 12,
volume = 4,
place = {United States},
year = {2014},
month = {12}
}