Abstract:The absorption of light in ellipsoidal quantum dot in the presence of a magnetic field is discussed using perturbation theory. Also the same problem is discussed using the normal modes. Quantum dot absorption coefficient is calculated -as well as threshold frequency of absorption -as a function of applied magnetic field. Theoretical results are compared with experimental data obtained by magneto-luminescence method in In 0.53 Ga 0.47 As quantum dot (M.
“…start from 30-40 angstrom, then one can use effective mass approximation [1]. It should be mention, that in paper [7] in the same approximation the authors discussed the absorption of light in ellipsoidal quantum dot with asymmetric parabolic confinement potential in the presence of magnetic field. The problem of optical absorption was discussed on the base of normal mode approach [8] and exact expressions for interband transition threshold frequencies were found.…”
In the framework of effective mass approximation and in strong size quantization regime the absorption coefficients for ensembles of spheroidal quantum dots (SQDs) are analyzed using the eigenvalues and eigenfunctions, calculated by means of Kantorovich and adiabatic methods. The comparison of absorption coefficients for oblate and prolate SQDs with parabolic and non-parabolic dispersion laws reveals different behavior depending on the aspect ratio (ratio of minor to major semiaxis) and the external homogeneous electric fields. The possibility of verification of the considered models is discussed.
“…start from 30-40 angstrom, then one can use effective mass approximation [1]. It should be mention, that in paper [7] in the same approximation the authors discussed the absorption of light in ellipsoidal quantum dot with asymmetric parabolic confinement potential in the presence of magnetic field. The problem of optical absorption was discussed on the base of normal mode approach [8] and exact expressions for interband transition threshold frequencies were found.…”
In the framework of effective mass approximation and in strong size quantization regime the absorption coefficients for ensembles of spheroidal quantum dots (SQDs) are analyzed using the eigenvalues and eigenfunctions, calculated by means of Kantorovich and adiabatic methods. The comparison of absorption coefficients for oblate and prolate SQDs with parabolic and non-parabolic dispersion laws reveals different behavior depending on the aspect ratio (ratio of minor to major semiaxis) and the external homogeneous electric fields. The possibility of verification of the considered models is discussed.
In this paper, the direct interband transition and the threshold frequency of absorption in a two-dimensional anisotropic quantum dot are studied under the influence of a tilted external magnetic field. We first calculate the analytical wave functions and energy levels using a transformation to simplify the Hamiltonian of the system. Then, we obtain the analytical expressions for the light interband absorption coefficient and the threshold frequency of absorption as a function of the magnetic field, magnetic field direction, and anisotropy of the system. According to the results obtained from the present work, we find that (i) the absorption threshold frequency (ATF) increases when the magnetic field increases for all directions. (ii) When anisotropy is increased, ATF increases. (iii) At small anisotropy, the magnetic field direction has no important effect on the ATF. In brief, the magnetic field, magnetic field direction, and anisotropy play important roles in the ATF and absorption coefficient.
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