Abstract

GUTIERREZ NINO, William; DAVIDOVICH MIKHAILOV, Ilia  and  GELVEZ HERNANDEZ, Rafael. CHARGE DISTRIBUTION IN TYPE II QUANTUM RINGS WITH CAPTURED EXCITON UNDER MAGNETIC FIELD. Rev.EIA.Esc.Ing.Antioq [online]. 2014, n.spe1, pp.39-46. ISSN 1794-1237.

We present a simple method for calculating the energies and wave functions corresponding to the low-lying states of exciton captured by type II InP quantum ring, where the electron is confined in the dot and the hole sits outside. We show that the two-particle Schrödinger equation is completely separable in the adiabatic limit, when the ring's width is much smaller than the ring's centreline radius and the hole effective mass is much larger than one of the electron. The separated one-dimensional differential equations for the electron and the hole motions in the radial direction we solve by using the trigonometric sweep method, while the solutions of the equations for rotational motions we find by means of the Fourier series expansion technique. We present result of calculation of some low-lying energy levels as functions of the ring's width and radius and the strength of the external magnetic field applied along the symmetry axis. The curves of the dependencies of the low-lying energies on the magnetic field strength present crossovers change of the level ordering and oscillation of the ground state energy.

Keywords : Type II Quantum Ring; Exciton; Aharonov-Bohm Oscillations; Adiabatic Approximation; Trigonometric Sweep Method.

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