Effect of boundary conditions on quantum-anti-dots in the presence of a magnetic field |
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| Authors: | F. Badrieh D. K. Ferry |
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| Affiliation: | 1. Department of Ocean Engineering, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro 21941-972, Brazil;2. Offshore Oil/Gas Research Center, China University of Petroleum, Beijing 102249, China;1. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China;2. School of Civil Engineering, Chongqing University, Chongqing 400045, China;3. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798, Singapore |
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| Abstract: | Many people have studied the conductance properties through an array of anti-dots, especially since the observation of Weiss oscillations. In most cases, however, in which the recursive Greenźs functions are used on a spatial lattice, periodic boundary conditions are employed. In this paper, we analyse the effects of boundary conditions and magnetic field on the conductance behavior in a number of anti-dot-shaped, GaAs/AlGaAs 2DEG quantum systems. The effect of periodic boundary conditions causes a reduction in the overall conductance. The effect of changing the boundary conditions is more profound for lower numbers of anti-dots. |
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| Keywords: | quantum anti-dots magnetotransport heterostructures. |
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