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arXiv 0706.2945cond-mat.mtrl-scihep-th
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纳米管对原子的俘获与标度反常

Atom capture by nanotube and scaling anomaly

Pulak Ranjan Giri

摘要:

证明了在单壁带电碳纳米管(SWNT)的电场作用下,可极化中性原子在平方反比势中存在束缚态的理论可能性。考虑不等价的边界条件,由于自伴扩展导致这个非平凡的束缚态解。研究还表明,标度反常是束缚态存在的原因。在耦合常数区间η^2 \in [0,1)内的可极化原子的结合可能是导致量子化电导台阶边缘模糊的原因,这在文献中尚未被考虑.

英文摘要:

The existence of bound state of the polarizable neutral atom in the inverse square potential created by the electric field of single walled charged carbon nanotube (SWNT) is shown to be theoretically possible. The consideration of inequivalent boundary conditions due to self-adjoint extensions lead to this nontrivial bound state solution. It is also shown that the scaling anomaly is responsible for the existence of bound state. Binding of the polarizable atoms in the coupling constant interval η^2\in[0,1) may be responsible for the smearing of the edge of steps in quantized conductance, which has not been considered so far in literature.

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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