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Effect of interdiffusion on electronic states in one-layer quantum ring superlattice
Institution:1. Department of Physics, Urmia Branch, Islamic Azad University, Urmia, Iran;2. Department of Solid State Physics, Yerevan State University, Al. Manookian 1, 0025 Yerevan, Armenia;1. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei Province, PR China;2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, 1037 Luoyu Road, Wuhan 430074, PR China;1. Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland;2. Department of Mechanical Engineering, National United University, 1, Lienda, Miaoli 36003, Taiwan;3. School of Science and Engineering, Reykjavik University, Menntavegur 1, IS-101 Reykjavik, Iceland;1. School of Physics and Optoelectronic Engineering, Dalian University of Technology, Dalian 116024, China;2. Jiangsu Xinguanglian Technology Co., Ltd., Wuxi 214192, China;3. State Key Laboratory on Integrated Optoelectronics, School of Electronic Science and Engineering, Jilin University, Changchun 130012, China;1. Thin Film Materials Laboratory, Korea Research Institute of Chemical Technology, Yuseong Post Office Box 107, Daejeon 305-600, Republic of Korea;2. BK21 Physics Research Division, Sungkyunkwan University, Suwon 440-746, Republic of Korea;3. Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Republic of Korea;4. Division of Material Science, Korea Basic Science Institute, Daejeon 305-333, Republic of Korea;1. School of Energy Science and Engineering, Central South University, Changsha 410083, China;2. College of Information, GuangDong Ocean University, Zhanjiang 524088, China;1. Mathematics Department, Faculty of Science, Sohag University, Egypt;2. Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia;3. Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;4. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;5. Department of Physics, McGill University, Montreal, Canada H3A 2T8;6. University of Science and Technology at Zewail City, Sheikh Zayed District, 12588, 6th of October, Egypt
Abstract:The effect of interdiffusion on band structure and Bloch amplitudes of two dimensional superlattice composed of initially cylindrical quantum rings is investigated in the framework of adiabatic approach and using transformation to in-plane momentum space. It is shown that the adiabatic approximation is applicable even if the ring’s height is equal to its radius, because of weak localization of electron in the superlattice plane comparing with the localization in perpendicular direction. The consideration of the dependence of effective mass on spatial coordinate and time leads to the energy correction up to 10 meV. It is shown that energy minibands rise and become wider due to interdiffusion and the dependence of Bloch amplitudes on quasimomentum direction is more pronounced in the case of diffused potential profile.
Keywords:Quantum ring superlattice  Interdiffusion  Electronic states  Bloch amplitudes
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