2015
DOI: 10.1088/0253-6102/63/2/20
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Quasi-Conical Quantum Dot: Electron States and Quantum Transitions

Abstract: The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector, is proposed.Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the oneelectron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem is reduced to the conical QD problem. The comparison with previously performed works shows good agre… Show more

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Cited by 10 publications
(1 citation statement)
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“…Returning to the variety of QD shapes, it would appear that the energy spectra of QD structures can be more easily manipulated if they have more distinct geometrical properties. The cone-shaped QDs, which have been extensively studied over many years [ 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 ], serve as an example of such systems. The experimental research conducted by Schamp et al [ 18 ], on the fabrication of so-called “ice cream cone” structures, based on GaAs and GaSb, is especially interesting.…”
Section: Introductionmentioning
confidence: 99%
“…Returning to the variety of QD shapes, it would appear that the energy spectra of QD structures can be more easily manipulated if they have more distinct geometrical properties. The cone-shaped QDs, which have been extensively studied over many years [ 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 ], serve as an example of such systems. The experimental research conducted by Schamp et al [ 18 ], on the fabrication of so-called “ice cream cone” structures, based on GaAs and GaSb, is especially interesting.…”
Section: Introductionmentioning
confidence: 99%