Optical Anisotropy of Quantum Disks in the External Static Magnetic Field

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

Abstracts

EN

We show how to compute the optical functions (the complex magneto-susceptibility, dielectric function, magneto-reflection and ellipsometric spectra) for semiconductor quantum disks exposed to a uniform magnetic field in the growth direction, including the excitonic effects. The optical response is calculated for an oblique incidence of the propagating electromagnetic wave and for input waves with different polarization. The method uses the microscopic calculation of nanostructure 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. The novelty of our approach is that the solution is obtained in terms of known one-particle electron and hole eigenfunctions, since, in the considered nanostructure due to confinement effects accompanied by the e-h Coulomb interaction, the separation of the relative- and center-of-mass motion is not possible. We obtain both the eigenvalues and the eigenfunctions. The convergence of the proposed method is examined. We calculate the magnetooptical functions, including the optical Stokes parameters and ellipsometric functions for the case of oblique incidence. Numerical calculations were performed for InAs (disk)/ GaAs (barrier) disks. A good agreement with experiments was obtained.

Keywords

EN

71.35.Cc; 71.35.Ji; 73.21.La; 78.20.Ls; 78.67.Hc

Discipline

• 78.20.Ls: Magneto-optical effects(for magneto-optical devices, see 85.70.Sq)
• 78.67.Hc: Quantum dots
• 71.35.Ji: Excitons in magnetic fields; magnetoexcitons
• 71.35.Cc: Intrinsic properties of excitons; optical absorption spectra
• 73.21.La: Quantum dots

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 114
• Issue: 5
• Pages: 1349-1354

Dates

published

2008-11

received

2008-06-07

Contributors

author

P. Schillak

• University of Technology and Life Sciences, al. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland

author

G. Czajkowski

• University of Technology and Life Sciences, al. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland
• Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

References

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• 10. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures, Les Editions de Physique, Paris 1989

Identifiers

DOI

10.12693/APhysPolA.114.1349