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

• Authors: S. Prabhakar , E. Takhtamirov , R. Melnik
• 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

71.15.-m; 73.21.La; 62.23.Eg

Discipline

• 62.23.Eg: Nanodots
• 71.15.-m: Methods of electronic structure calculations(see also 31.15.-p Calculations and mathematical techniques in atomic and molecular physics; for electronic structure calculations of superconducting materials, see 74.20.Pq)
• 73.21.La: Quantum dots

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1
• Pages: 85-88

Dates

published

2012-01

Contributors

author

S. Prabhakar

• bM2NeT Laboratory, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, N2L 3C5, Canada

author

E. Takhtamirov

• bM2NeT Laboratory, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, N2L 3C5, Canada

author

R. Melnik

• bM2NeT Laboratory, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, N2L 3C5, Canada

References

• 1. L.C. Lew Yan Voon, C. Galeriu, B. Lassen, M. Willatzen, R. Melnik, Appl. Phys. Lett. 87, 041906 (2005)
• 2. B. Daudin, F. Widmann, G. Feuillet, Y. Samson, J.L. Rouviere, Phys. Rev. B 56, R7069 (1997); P. Micheler, Single Quantum Dots, Fundamentals, Applications and New Concepts, Springer, Berlin 2003
• 3. S.R. Patil, R. Melnik, Nanotechnology 20, 125402 (2009)
• 4. S. Prabhakar, R. Melnik, J. Appl. Phys. 108, 064330 (2010)
• 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)
• 7. J.M. Luttinger, W. Kohn, Phys. Rev. 97, 869 (1955)
• 8. S.L. Chuang, C.S. Chang, Phys. Rev. B 54, 2491 (1996)
• 9. J.M. Luttinger, Phys. Rev. 102, 1030 (1956)

Identifiers

DOI

10.12693/APhysPolA.121.85