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The Analytical Study of Electronic and Optical Properties of Pyramid-Like and Cone-Like Quantum Dots

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The analytical expressions for electron wave function of pyramid-like and cone-like quantum dot located on the semiconductor surface are obtained. The energy spectrum of electron states in the quantum dots is calculated. The dependence of energy levels on the angle at the vertex of an edge-shaped nanodots is studied. The distribution of electron density for different electronic states is calculated for each case. The dependence of function of linear response to the external field on vertex angle is calculated in the frame of proposed approach. The local field distributions for both pyramid- and cone-like particles are calculated.
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Keywords: ANALYTICAL STUDY; CONE SHAPE; EFFECTIVE SUSCEPTIBILITY; ENERGY LEVELS; LAMB SHIFT; LOCAL-FIELD; PROBABILITY DENSITY DISTRIBUTION; PYRAMID SHAPE; QUANTUM DOT

Document Type: Research Article

Publication date: November 1, 2011

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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