Abstract
We present results of numerical calculations of low-lying energy states of the negatively charged exciton in the rectangular CdTe1−xMgxTe/CdTe/Cd1−xMgxTe quantum well in the presence of a perpendicular magnetic field. Specific results for the trion binding energy in 40 Å, 80 Å and 160 Å wide quantum wells are discussed as a function of the magnetic field strength (up to 40 T). These three widths of the quantum wells correspond to three different relationships between the magnetic length, Bohr radius and quantum well width. The 80 Å quantum well is examined in greater detail. In particular, we show the behaviour of the total energy of various trion states, and the behaviour of the allowed optical transitions with an external magnetic field. We discuss also the role of the Zeeman Hamiltonian on the energy spectra of the trion.
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