Nahapetyan A. A.1, Mkrtchyan M. A. 1,2, Vinnichenko M. Ya.3, Firsov D. A.3, Sarkisyan H. A.1
1Institute of Applied Problems of Physics National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia
2Russian-Armenian University, Yerevan, Armenia
3Peter the Great St.Petersburg Polytechnic University (SPbPU), St. Petersburg, Russia
Email: mher.mkrtchyan@rau.am
The behavior of a heavy-hole gas in a strongly oblate, asymmetric ellipsoidal Ge/Si quantum dot under an axial homogeneous magnetic field has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered two-dimensional. The realization of the generalized Kohn theorem in such a system under the influence of the incident long-wave radiation has been shown in the dipole approximation. The exact energy spectrum has been obtained for the case of a strongly oblate ellipsoidal quantum dots with a circular cross-section, using the Johnson and Payne model of a circular two-dimensional parabolic well. A detailed analysis of the energy spectrum is presented. Keywords: ellipsoidal quantum dot, magnetic field, Moshinsky model, generalized Kohn theorem, terahertz optical transitions, Johnson and Payne model.
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