Open Access Nano Express

Electronic States and Light Absorption in a Cylindrical Quantum Dot Having Thin Falciform Cross Section

Karen G Dvoyan1, David B Hayrapetyan12, Eduard M Kazaryan1 and Ani A Tshantshapanyan1*

Author Affiliations

1 Department of Applied Physics and Engineering, Russian-Armenian State University, 123 Hovsep Emin Str., Yerevan, 0051, Armenia

2 Department of Physics, State Engineering University of Armenia, 105 Terian Str., Yerevan, 0009, Armenia

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Nanoscale Research Letters 2008, 4:130-137  doi:10.1007/s11671-008-9212-7

Published: 6 December 2008

Abstract

Energy level structure and direct light absorption in a cylindrical quantum dot (CQD), having thin falciform cross section, are studied within the framework of the adiabatic approximation. An analytical expression for the energy spectrum of the particle is obtained. For the one-dimensional “fast” subsystem, an oscillatory dependence of the wave function amplitude on the cross section parameters is revealed. For treatment of the “slow” subsystem, parabolic and modified Pöschl-Teller effective potentials are used. It is shown that the low-energy levels of the spectrum are equidistant. In the strong quantization regime, the absorption coefficient and edge frequencies are calculated. Selection rules for the corresponding quantum transitions are obtained.

Keywords:
Modified Pöschl-Teller potential; Cylindrical quantum dot; Falciform cross section; Light absorption; Selection rules