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

• Main Authors: Dvoyan Karen, Hayrapetyan David, Kazaryan Eduard, Tshantshapanyan Ani
• Format: Article
• Language: English
• Published: SpringerOpen 2008-01-01
• Series: Nanoscale Research Letters
• Subjects: Modified Pöschl-Teller potential; Cylindrical quantum dot; Falciform cross section; Light absorption; Selection rules
• Online Access: http://dx.doi.org/10.1007/s11671-008-9212-7

<p>Abstract</p> <p>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 &#8220;fast&#8221; subsystem, an oscillatory dependence of the wave function amplitude on the cross section parameters is revealed. For treatment of the &#8220;slow&#8221; subsystem, parabolic and modified P&#246;schl-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.</p>