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arXiv 0803.2465cond-mat.mes-hallcond-mat.str-el
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耦合量子线

Coupled quantum wires

D. Makogon, N. de Jeu, C. Morais Smith

摘要:

我们研究了一组交叉的一维系统,它们通过在交叉点处的隧穿相互耦合。我们从没有电子-电子相互作用的最简单的情况开始,发现除了预期的能级分裂外,还可以出现束缚态。接下来,我们包括外部势和电子-电子相互作用,这是在哈特里近似处理。然后,我们写下一个正式的一般解决方案的问题,提供额外的细节的情况下,对称的外部潜力。集中在一个单一的交叉的情况下,我们能够解释最近的实验交叉金属和半导体纳米管[J。Janssen,S. G.勒梅湖P. Kouwenhoven和C. Dekker,Phys.Rev.B65,115423(2002)],其示出了在交叉区域中存在定域态。

英文摘要:

We study a set of crossed 1D systems, which are coupled with each other via tunnelling at the crossings. We begin with the simplest case with no electron-electron interactions and find that besides the expected level splitting, bound states can emerge. Next, we include an external potential and electron-electron interactions, which are treated within the Hartree approximation. Then, we write down a formal general solution to the problem, giving additional details for the case of a symmetric external potential. Concentrating on the case of a single crossing, we were able to explain recent experinents on crossed metallic and semiconducting nanotubes [J. W. Janssen, S. G. Lemay, L. P. Kouwenhoven, and C. Dekker, Phys. Rev. B 65, 115423 (2002)], which showed the presence of localized states in the region of crossing.

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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