Estudio de las propiedades electrónicas, ópticas y termodinámicas de anillos cuánticos en forma de diamante bajo la presencia de campos externos
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Rios Álvarez, Santiago
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Abstract
In the present thesis, a exhaustive analysis of the electronic, optical and thermal properties of diamond-shaped semiconductor quantum rings with elliptical crater was performed by varying both the morphology and the external elds to which the systems are exposed. First, an electron con ned in a GaAs/Ga0.7Al0.3As quantum ring was considered, whose shape resembles quantum dots obtained by various growth techniques. The Lamé curve was used to represent the outer contour of the quantum ring in a more realistic way. Topological parameters associated with the size of the ring, the proportions of the crater and the shape of the contour were assigned. To carry out this study, a Schrödinger equation was proposed to show the interaction with external elds and geometrical con nement, being able to observe phenomena such as the Stark effect, the Aharonov-Bohm effect and the formation of anticrossing points. The Hamiltonian approach is based on the effective mass approximation, and then resorts to nite element computational methods to solve the differential equation. The analysis performed from the variations and parametric sweeps in both morphologies
and external elds were taken to different situations, such as the topological analysis as an alternative to predict the properties of the quantum ring, the behavior of the nanostructure when it con nes an atomic system with a donor impurity, the manipulation of the thermal properties from the conformation of a statistical assembly with the electronic states and the optical responses of the proposed systems due to fluctuations in the probability densities caused by the topological and external eld variations.
Palabras clave propuestas
Anillos cuánticos; Anillos acoplados; Impureza donadora; Complejo molecular; Susceptibilidad eléctrica; Respuesta óptica; Efecto Aharanov-Bohm; Efecto Stark; Propiedades térmicas; Anti-crossing; Quantum rings; Donor impurity; Molecular complex; Electric susceptibility; Optical response; Aharanov-Bohm effect; Stark effect; Thermal properties
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