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arXiv 1108.0299cond-mat.mes-hall
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描述分子电子输运的变分方法的临界分析

Critical analysis of a variational method used to describe the molecular electron transport

Ioan Baldea, Horst Köppel

摘要:

在最近的一篇论文中,[1]。巴尔迪亚和H. Köppel,\prb { \bf 78},115315(2008)],我们证明了变分方法[P.\ Delaney和J. C. Greer,\prl { \bf 93},036805(2004)]提出的计算分子中电子输运的方法,其基于Wigner函数的边界约束,不能正确描述最简单的非相关和相关系统的零偏压电导。在本文中,我们扩展了我们以前的分析的线性响应极限的方法,考虑,而不是维格纳函数,一般的约束。我们证明,如果像往常一样在输运理论中,准粒子分布在电极中的约束,这种方法产生的零偏压电导消失的完全非物理的结果。因此,我们得出结论,变分方法本身是有缺陷的。

英文摘要:

In a recent paper [I.\ Bâldea and H.\ Köppel, \prb {\bf 78}, 115315 (2008)], we showed that a variational approach [P.\ Delaney and J.\ C.\ Greer, \prl {\bf 93}, 036805 (2004)] proposed to compute the electron transport through molecules, which is based on boundary constraints of the Wigner function, is unable to correctly describe the zero-bias conductance of the simplest uncorrelated and correlated systems. In the present paper, we extend our previous analysis of the linear response limit of that approach, by considering, instead of the Wigner function, general constraints. We demonstrate that, if, as usual in transport theories, the quasi-particle distributions in electrodes are constrained, this method yields the completely unphysical result that the zero-bias conductance vanishes. Therefore, we conclude that the variational approach itself is defective.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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