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arXiv 2407.20552cond-mat.mes-hall
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混合金属-半导体双量子点器件中Luttinger液体效应的显现

Manifestation of Luttinger liquid effects in a hybrid metal-semiconductor double-quantum dot device

A. V. Parafilo

AI总结:

本文理论研究混合金属-半导体双量子点器件的输运性质,证明其电导满足Luttinger液体标度,并预测在临界点与单位点双通道电荷近藤问题等价。

摘要:

我们从理论上研究了一种混合纳米器件的输运性质,该器件由嵌入二维电子气中的两个大型金属岛组成。连接两个金属岛与引线(leads)的导电通道具有高度可调性,使得我们可以将该装置视为多通道双位点电荷近藤(2SCK)模型的实现。研究表明,2SCK电路中电导的主导温度依赖性满足Luttinger液体中单杂质问题的电导标度关系,其相互作用参数完全由器件中的导电通道数决定。我们证明了所有导电通道中有限的弱背散射导致了线性电导中出现次级温度依赖性。在特殊临界点,我们预测2SCK纳米器件与单位点双通道电荷近藤问题之间存在等价性,其中一个近藤通道由非相互作用电子气实现,第二个近藤通道归因于Luttinger液体。

英文摘要:

We theoretically study the transport properties of a hybrid nanodevice comprised of two large metallic islands incorporated in a two-dimensional electron gas. The high-tunability of the conducting channels electrically connecting two islands to the leads allows us to treat the setup as a realization of a multi-channel two-site charge Kondo (2SCK) model. It is shown that the leading temperature dependence of the conductance in the 2SCK circuit satisfies the conductance scaling of a single-impurity problem in a Luttinger liquid, whose interaction parameter is fully determined by the number of conducting channels in the device. We demonstrate that the finite weak backscattering in all conducting channels features the appearance of the subleading temperature dependencies in linear conductance. At the special critical point, we predict an equivalency between the 2SCK nanodevice and a single-site two-channel charge Kondo problem, where one Kondo channel is implemented by a non-interacting electron gas and the second Kondo channel is attributed to the Luttinger liquid.

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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