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Title
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Quantized conductance without reservoirs : method of the nonequilibrium statistical operator
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Author
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Abstract
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| We introduce a generalized non-equilibrium statistical operator (NSO) to study a current-carrying system. The NSO is used to derive a set of quantum kinetic equations based on quantum mechanical balance equations. The quantum kinetic equations are solved self-consistently together with Poissons equation to solve a general transport problem. We show that these kinetic equations can be used to rederive the Landauer formula for the conductance of a quantum point contact, without any reference to reservoirs at different chemical potentials. Instead, energy dissipation is taken into account explicitly through the electron-phonon interaction. We find that both elastic and inelastic scattering are necessary to obtain the Landauer conductance. |
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Language
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English
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Source (journal)
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Journal of computational electronics. - Place of publication unknown
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Publication
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Place of publication unknown
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2007
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ISSN
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1569-8025
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DOI
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10.1007/S10825-006-0094-6
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Volume/pages
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6
:1/3
(2007)
, p. 255-258
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ISI
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000208473600062
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Full text (Publisher's DOI)
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