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Invariant imbedding theory of charge pumping in quantum wires

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Title: Invariant imbedding theory of charge pumping in quantum wires
Authors: Rafiei Nazari, Roshanak1 R.Rafieinazari@damghaniau.ac.ir, Koohi, Ardavan1,2, Khosravi, Ramin3, Ebrahimi, Farshad3, Yaghobi, Mojtaba4
Source: Physica B. Jul2011, Vol. 406 Issue 13, p2626-2631. 6p.
Subjects: Invariant imbedding, Nanowires, Matrices (Mathematics), Schrödinger equation, Density functionals, Green's functions, Numerical calculations
Abstract: 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. [Copyright &y& Elsevier]
Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 60924619
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PubTypeId: academicJournal
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  Data: <searchLink fieldCode="DE" term="%22Invariant+imbedding%22">Invariant imbedding</searchLink><br /><searchLink fieldCode="DE" term="%22Nanowires%22">Nanowires</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+equation%22">Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Density+functionals%22">Density functionals</searchLink><br /><searchLink fieldCode="DE" term="%22Green's+functions%22">Green's functions</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink>
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  Data: 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. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.physb.2011.04.003
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        Text: English
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        PageCount: 6
        StartPage: 2626
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      – SubjectFull: Invariant imbedding
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      – SubjectFull: Matrices (Mathematics)
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      – SubjectFull: Schrödinger equation
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      – SubjectFull: Density functionals
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      – SubjectFull: Green's functions
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      – SubjectFull: Numerical calculations
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            NameFull: Rafiei Nazari, Roshanak
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              Text: Jul2011
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