论文标题

量子通过“电荷”近多电路传输:Luttinger液体中弱排斥相互作用的影响

Quantum transport through a "charge" Kondo circuit: effects of weak repulsive interaction in Luttinger Liquid

论文作者

Nguyen, T. K. T., Kiselev, M. N.

论文摘要

我们研究了理论上通过“电荷”近托电路传输的量子传输,该电路由量子点(QD)组成,在温度下薄弱地耦合到电极$ t+Δt$,并通过单模量子点触点(QPC)在参考温度$ t $下在参考温度$ t $下的另一个电极强烈连接。为了说明库仑相互作用在整数量子厅策略中运行的QD-QPC设置中的效果,我们描述了由Luttinger型号$ g $特征的Luttinger模型中量子电路中的边缘电流。结果表明,电力电导的温度依赖性$ g \ propto t^{2/g} $和热电系数$ g_t \ propto t^{1+2/g} $绕过Fermi-liquid(fl)理论预测。相比之下,在单渠道北野效应方面,热电功率$ s = g_t/g \ propto t $与FL范式一致。我们证明,QD中的介质库仑阻塞与Luttinger液体中的弱排斥相互作用之间的相互作用$ g = 1-α$ $(α\ ll 1)$导致热电器增强。这种增强归因于通过破坏性量子干扰效应抑制“电荷”电路中的近藤相关性。

We investigate theoretically quantum transport through the "charge" Kondo circuit consisting of the quantum dot (QD) coupled weakly to an electrode at temperature $T+ΔT$ and connected strongly to another electrode at the reference temperature $T$ by a single-mode quantum point contact (QPC). To account for the effects of Coulomb interaction in the QD-QPC setup operating in the integer quantum Hall regime we describe the edge current in the quantum circuit by Luttinger model characterized by the Luttinger parameter $g$. It is shown that the temperature dependence of both electric conductance $G\propto T^{2/g}$ and thermoelectric coefficient $G_T\propto T^{1+2/g}$ detours from the Fermi-liquid (FL) theory predictions. The behaviour of the thermoelectric power $S=G_T/G\propto T$ in a regime of a single-channel Kondo effect is, by contrast, consistent with the FL paradigm. We demonstrate that the interplay between the mesoscopic Coulomb blockade in QD and weak repulsive interaction in the Luttinger Liquid $g=1-α$ $(α\ll 1)$ results in the enhancement of the thermopower. This enhancement is attributed to suppression of the Kondo correlations in the "charge" circuit by the destructive quantum interference effects.

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