Electrooptical Properties of Cylindrical Quantum Dots

• Authors: P. Schillak , G. Czajkowski
• Languages of publication: EN

Abstracts

EN

We show how to compute the optical functions (the complex electrosusceptibility tensor, dielectric tensor, electroreflection spectra) for semiconductor quantum dots exposed to a uniform static electric field in the growth direction, including the excitonic effects. The method uses the microscopic calculation of the quantum dot excitonic wave functions and energy levels, and the macroscopic real density matrix approach to compute the electromagnetic fields and susceptibilities. The electron-hole screened Coulomb potential is adapted and the valence band structure is taken into account in the cylindrical approximation, thus separating light- and heavy-hole motions. In the microscopic calculations, using the effective-mass approximation, we solve the 6-dimensional two-particle Schrödinger equation by transforming it into an infinite set of coupled second order 2-dimensional differential equations with the appropriate boundary conditions. These differential equations are solved numerically giving the eigenfunctions and the energy eigenvalues. Having them, we can compute the quantum dot electrooptical functions. Numerical calculations have been performed for an InGaAs quantum dot with a constant electric field applied in the growth direction. A good agreement with experiment is obtained.

Keywords

EN

73.21.La; 78.30.Fs; 78.67.Hc; 78.67.-n; 78.90.+t

Discipline

• 78.67.Hc: Quantum dots
• 78.67.-n: Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures(for magnetic properties of nanostructures, see 75.75.-c; for electronic transport in nanoscale structures, see 73.63.-b; for mechanical properties of nanoscale systems, see 62.25.-g)
• 73.21.La: Quantum dots
• 78.30.Fs: III-V and II-VI semiconductors
• 78.90.+t: Other topics in optical properties, condensed matter spectroscopy and other interactions of particles and radiation with condensed matter (restricted to new topics in section 78)

• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 5
• Pages: 871-873

Dates

published

2009-11

Contributors

author

P. Schillak

• University of Technology and Life Sciences, Kaliskiego 7, 85-789 Bydgoszcz, Poland

author

G. Czajkowski

• University of Technology and Life Sciences, Kaliskiego 7, 85-789 Bydgoszcz, Poland

References

• 1. S. Glutsch, Excitons in Low-Dimensional Semiconductors, Theory, Numerical Methods, Applications, Springer, Berlin 2004
• 2. G. Czajkowski, L. Silvestri, Central Europ. J. Phys. 4, 254 (2006)
• 3. P. Schillak, G. Czajkowski, Acta Phys. Pol. A 112, 301 (2007)
• 4. P. Schillak, G. Czajkowski, Phys. Status Solidi C 6, 415 (2009)
• 5. A. Stahl, I. Balslev, Electrodynamics of the Semiconductor Band Edge, Springer, Berlin 1987
• 6. G. Czajkowski, F. Bassani, L. Silvestri, Rivista del Nuovo Cimento C 26, 1 (2003)
• 7. R. Oulton, J.J. Finley, A.I. Tartakovskii, D.J. Mowbray, M.S. Skolnick, M. Hopkinson, A. Vasanelli, R. Ferreira, G. Bastard, Phys. Rev. B 68, 235301 (2003)

Identifiers

DOI

10.12693/APhysPolA.116.871