Aharonov–Bohm effect in non-uniform crater-like quantum dot with double rim |
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| Institution: | 1. Escuela de Física, Universidad Industrial de Santander, A. A. 678, Bucaramanga, Colombia;2. Peoples'' Friendship University of Russia, Miklujo-Maklaya, No. 6, Moscow, Russia;1. Vietnam Institute of Educational Sciences, 101 Tran Hung Dao Str., Ha Noi City, Viet Nam;2. Center for Theoretical and Computational Physics, Hue University''s College of Education, 34 Le Loi Str., Hue City, Viet Nam;3. Department of Physics, Sai Gon University, 273 An Duong Vuong Str., District 5, Ho Chi Minh City, Viet Nam;1. Faculty of Electrical Engineering, Czestochowa University Technology, Armii Krajowej 17, Czestochowa, Poland;2. Physics and Astronomy Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;3. The Hakubi Center for Advanced Research, Kyoto University, Nishikyo-ku, Kyoto 615-8520, Japan;4. Department of Electronic Science and Engineering, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8520, Japan;5. College of Food and Bioengineering, Jimei University, Xiamen 361021, China;6. Department of Material Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8520, Japan;7. Research Chair of Exploitation of Renewable Energy Applications in Saudi Arabia, Physics & Astronomy Dept., College of Science, King Saud University, P.0.Box 2455, Riyadh 11451, Saudi Arabia;1. Department of Optical Science and Engineering, and Shanghai Ultra-Precision Optical Manufacturing Engineering Center, Fudan University, Shanghai 200433, China;2. Thin Film Optoelectronic Technology Center, Chinese Academy of Science, Shanghai 201210, China;1. The Department of Physics, Guangxi Medical University, Nanning, Guangxi 530021, China;2. School of Physics and Electronics, Yancheng Teachers University, Yancheng 224051, China;1. Centre for Photonics and Nanotechnology, Sona College of Technology, Salem 636 005, Tamilnadu, India;2. Department of Frontier Materials, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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| Abstract: | We study electron energies in a double concentric quantum ring with anisotropy in the rims heights in the presence of the external magnetic field applied along the symmetry axis. To this end, we consider a model in which the thickness grows linearly from the axis up to the inner rim with a slope different from one between the inner and the outer rims. The anisotropy in the rims heights originated by the presence in the structure of various valleys we simulate by periodic dependence of the slope on the radial direction. We show that the wave functions of the electron confined in such structure can be found analytically if the slopes in all radial directions are the same, and by using a simple exact diagonalization procedure otherwise. The behavior of the electron energies as functions of the magnetic field, rings radii and rims heights, as well as the number of the valleys and their depths is consistently described with our formalism. The entanglement of the states with different radial and orbital quantum numbers, the period and the amplitude of the Aharonov–Bohm oscillations are very sensible to any variations of the rims heights. |
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| Keywords: | Nanoring Aharonov–Bohm effect Crater like quantum ring Non uniform thickness Concentric quantum rings |
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