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arXiv 1502.07430cond-mat.str-el
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分数量子霍尔系统中的轨道近藤效应

Orbital Kondo effect in fractional quantum Hall systems

Yashar Komijani, Pascal Simon, Ian Affleck

摘要:

本文研究了由整数$ν=1$或分数$ν=1/3$量子霍尔棒边缘之间的两个反点实现的耦合两个手征Luttinger液体的电荷量子比特的输运性质。我们表明,在一个大的电容耦合的限制下的反点,它们的准粒子占有的行为作为一个伪自旋对应于一个轨道的近藤杂质耦合到一个手性Luttinger液体,而反点之间的隧道作为一个杂质磁场。后者倾向于使$ν=1/3$分数霍尔态的近藤不动点不稳定,从而产生有效的边缘间隧穿。我们与边缘间电导的近藤杂质的磁化率和计算分析在各种限制$ν=1$和$ν=1/3$。

英文摘要:

We study transport properties of a charge qubit coupling two chiral Luttinger liquids, realized by two antidots placed between the edges of an integer $ν=1$ or fractional $ν=1/3$ quantum Hall bar. We show that in the limit of a large capacitive coupling between the antidots, their quasiparticle occupancy behaves as a pseudo-spin corresponding to an orbital Kondo impurity coupled to a chiral Luttinger liquid, while the inter antidot tunnelling acts as an impurity magnetic field. The latter tends to destabilize the Kondo fixed point for the $ν=1/3$ fractional Hall state, producing an effective inter-edge tunnelling. We relate the inter-edge conductance to the susceptibility of the Kondo impurity and calculate it analytically in various limits for both $ν=1$ and $ν=1/3$.

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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