Abstract
Electronic and excitonic excitations in aperiodic sequences of quantum dots (Thue-Morse, Cantor, Fibonacci, Double-period) were studied in external electrical and magnetic field. Single-particle and two-particle tunneling probability was taken into consideration. Transmission coefficient was determined using quasi-classical approximation and range of values of confining potential and interdot distances when tunneling is essential was estimated. An external electrical and magnetic field effect on electron localization was taken into consideration, an effective steepness of confining potential in magnetic field was appeared as control parameter of the problem. Energy spectrum of aperiodic quantum dot sequences in external magnetic field was obtained. Possibility to tune the state of the system by magnetic field was studied. The increase of the external electrical field shifts the energy states of the particle in a quantum dot and contributes to particle localization. The localization of the excitations is possible at the finite values of the perturbation in the case of aperiodic sequences of quantum dots (contrary to the case of periodical sequences).
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