Invariant imbedding theory of charge pumping in quantum wires |
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Authors: | Roshanak Rafiei Nazari Ardavan Koohi Ramin KhosraviFarshad Ebrahimi Mojtaba Yaghobi |
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Affiliation: | a Islamic Azad University Science and Research Branch, Tehran, Iran b Plasma Physics & Nuclear Fusion Research School, Nuclear Science & Technology Research Institute, AEOI, Tehran, Iran c Department of Physics, Shahid Beheshti University, Tehran, Iran d Islamic Azad University, Ayatollah Amoli Branch, Amol. Iran |
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Abstract: | We have developed a method to study the theory of charge pumping through a continuous quantum wire using the invariant imbedding approach. Using this method, the general properties of quantum charge pumping, with and without inclusion of many-body interactions are investigated. Using the invariant imbedding approach allows us to address directly the complex reflection (R) and transmission (T) matrices across the wire instead of considering the spectrum of the Schrodinger equation. Using the Kohn-Sham version of density functional theory (DFT), the many-body interactions in the quantum wire is investigated. We calculated the pumped current in those two cases. In the case of ignoring the many-body effects, the pumped current depends on the width of the driven potential barriers and in the case of nonequality of the width of barriers, our study predicts a nonzero charge pumping at the phase difference φ=0 even when the driving potentials are equal. In the second case, although the pumped current had sinusoidal dependence on φ but its value significantly decreased and we also observed nonzero pumping at φ=0 even when the driving potentials and their widths are equal, which is consistent with the recent experimental result. |
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Keywords: | Mesoscopic transport Charge pumping Quantum wire Invariant imbedding approach Density functional theory Green's function |
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