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Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point

机译:二维拓扑绝缘体中的量子点:两通道近藤固定点

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摘要

A quantum dot coupled to two helical edge states of a two-dimensional topological insulator through electron tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter K< 1, the system reaches a stable two-channel Kondo fixed point at low temperatures. This is in contrast to the Luttinger liquid leads case in which K< 112 is needed. This two-channel fixed point is described by a boundary sine-Gordon Hamiltonian with a K dependent boundary term. The impurity entropy, the impurity specific heat and the conductance are calculated.
机译:研究了通过电子隧穿耦合到二维拓扑绝缘子的两个螺旋边缘态的量子点。我们表明,如果边缘状态上的电子相互作用是排斥的,则Luttinger液体参数K <1时,系统在低温下会达到稳定的两通道近藤固定点。这与需要K <112的Luttinger液体引线情况相反。该两通道不动点由边界正弦-戈登·哈密顿量描述,其边界依赖于K。计算出杂质熵,杂质比热和电导率。

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