Effect of the magnetic field on the energy spectra of a quantum dot system
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ORIGINAL PAPER
Effect of the magnetic field on the energy spectra of a quantum dot system R Rani1, V Kumar2, S B Bhardwaj3, R M Singh2 and F Chand4* 1
Department of Physics, Govt College, Bhuna 125111, India
2
Department of Physics, Chaudhary Devi Lal University, Sirsa 125055, India
3
Department of Physics, Pt. CLS Government PG College, Karnal 132001, India 4
Department of Physics, Kurukshetra University, Kurukshetra 136119, India Received: 24 April 2019 / Accepted: 14 August 2019
Abstract: Analytical solutions to the radial Schrodinger equation are obtained for a two-dimensional two-electron quantum dot system within the framework of a general interaction potential using the Taylor expansion method. The calculated results are compared with other theoretical works to check the efficacy of the present method. Effects of the Coulomb interaction, the anharmonic potential terms and the magnetic field on the energy spectra of quantum dot systems are also highlighted. Keywords: Eigenvalue spectra; Taylor expansion method; quantum dots PACS Nos.: 03.65.Ge; 81.07.Ta
1. Introduction Over the last few decades, low-dimensional structures like quantum wells, quantum wires and quantum dots (QDs) have drawn a significant attention of researchers. Various properties of such structures can now be manipulated as per practical requirement by invoking sophisticated experimental facilities. These systems are now rapidly gaining acceptance to design and fabricate fast, small and lowpower-consuming electronic devices. Apart from the above-mentioned nano-structures, a QD, also referred to an artificial atom, is vital enough as its properties can be tailored by controlling its shape and size [1–4]. A QD coupled to electrical leads through tunnel junctions is variously called a single-electron transistor, a Coulomb island, a zero-dimensional electron gas and so on. A current through such an artificial atom or the capacitance between its leads can be varied even by transporting a single electron [5, 6]. Due to confinement of electrons in all the three spatial directions, the energy spectra of a QD become completely
*Corresponding author, E-mail: [email protected]
quantized and create excellent experimental [7, 8] and theoretical [9, 10] opportunities to study controlled single particle and collective dynamics of such systems at the atomic scale. Due to their remarkable electrical and optical properties, QDs find widespread technological applications in optoelectronics [11]. QDs are also suitable for light absorption and emission at any wavelength, which make these interesting candidates to design LEDs, diode lasers and solar cells. These are widely used in miniature lasers for highspeed data transfer, TV and computer displays, laserjet printing, spin coating and Langmuir–Blodgett thin films for second harmonic generation. In the realization of quantum computers, QDs are expected to be the main building blocks. QDs are also gaining popularity in research and applications in medicines. These are widely used to study intracellular p
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