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arXiv 1310.6563cond-mat.str-elcond-mat.mes-hall
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SU(12)碳纳米管量子点中的近藤效应

SU(12) Kondo Effect in Carbon Nanotube Quantum Dot

Igor Kuzmenko, Yshai Avishai

摘要:

我们研究了CNT(left lead)-CNT(QD)-CNT(right lead)结构中的近藤效应。这里CNT是单壁金属碳纳米管,对于其1)具有零轨道角动量($m=0$)的电子的价带和导带在第一布里渊区的两个谷点${\bf{K}}$和${\bf{K}}'$处聚结,并且2)具有$m \ne 0$的电子的能谱具有尺寸与$|m|$成比例的能隙。在吸附氢原子和施加适当设计的栅极电势之后,CNT(QD)中的电子能级可调谐为具有:1)两倍自旋简并性; 2)两倍同位旋(谷)简并性; 3)三倍轨道简并性$m=0,\pm1$。结果,实现了具有显著高的近藤温度的SU(12)近藤效应。与SU(2)情形不同,低温电导率和磁化率在有限温度下有一个峰值。此外,平行和垂直磁场(WRT管轴)的磁化率显示各向异性的通用比率$χ_{\rm{imp}}^\parallel / χ_{\rm{imp}}^\perp=η$,它只取决于电子的轨道和自旋$g$因素。

英文摘要:

We study the Kondo effect in a CNT(left lead)-CNT(QD)-CNT(right lead) structure. Here CNT is a single-wall metallic carbon nanotube, for which 1) the valence and conduction bands of electrons with zero orbital angular momentum ($m=0$) coalesc at the two valley points ${\bf{K}}$ and ${\bf{K}}'$ of the first Brillouin zone and 2) the energy spectrum of electrons with $m \ne 0$ has a gap whose size is proportional to $|m|$. Following adsorption of hydrogen atoms and application of an appropriately designed gate potential, electron energy levels in the CNT(QD) are tunable to have: 1) two-fold spin degeneracy; 2) two-fold isospin (valley) degeneracy; 3) three-fold orbital degeneracy $m=0,\pm1$. As a result, an SU(12) Kondo effect is realized with remarkably high Kondo temperature. Unlike the SU(2) case, the low temperature conductance and magnetic susceptibility have a peak at finite temperature. Moreover, the magnetic susceptibilities for parallel and perpendicular magnetic fields (WRT the tube axis) display anisotropy with a universal ratio $χ_{\rm{imp}}^\parallel / χ_{\rm{imp}}^\perp=η$ that depends only on the electron's orbital and spin $g$ factors.

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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