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2012 | 121 | 1 | 85-88
Article title

Coupled Multiphysics Models for the Analysis οf the Conduction and Valence Band Eigenenergies in Cylindrical Quantum Dots

Content
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Languages of publication
EN
Abstracts
EN
We develop a mathematical model for the analysis of conduction and valence band eigenenergy in quantum dots. We apply the model to study the band structure calculations of low dimensional semiconductor nanostructures such as wurtzite AlN/GaN quantum dots in cylindrical coordinates in presence of applied magnetic field along z-direction. We use a finite element method to solve the resulting model and to obtain eigenvalues and wave functions of cylindrical quantum dots. We provide details of the methodology of solution and appropriate boundary conditions. A special attention is given to the case of applied magnetic field along z-direction, we found localized eigenstates and wave functions in the conduction and valence bands for which our results open new possibilities for the design of the optoelectronics devices where the combination of electron-hole pairs can be used as tuning parameters.
Keywords
EN
Year
Volume
121
Issue
1
Pages
85-88
Physical description
Dates
published
2012-01
References
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  • 3. S.R. Patil, R. Melnik, Nanotechnology 20, 125402 (2009)
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  • 5. S. Prabhakar, E. Takhtamirov, R. Melnik, J. Appl. Phys., in preparation
  • 6. M.W. Bayerl, M.S. Brandt, T. Graf, O. Ambacher, J.A. Majewski, M. Stutzmann, Phys. Rev. B 63, 165204 (2010)
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  • 8. S.L. Chuang, C.S. Chang, Phys. Rev. B 54, 2491 (1996)
  • 9. J.M. Luttinger, Phys. Rev. 102, 1030 (1956)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n125kz
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