电子关联效应对串行耦合双量子点中的Kondo效应的影响
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摘要
量子点因其作为展现低维介观体系量子效应的典型代表而成为近年来的研究热点,特别是Kondo效应在量子点的隧穿电导中被发现后,使Kondo效应这一独特的现象成为凝聚态物理学中一个非常著名和被广泛研究的课题。Kondo现象起源于稀磁合金中的低温物理反常现象,近些年随着纳米技术的进步而能够将一个量子点嵌入到电路当中,使得在人为可控制的条件下研究介观Kondo效应成为可能,这唤起了人们对Kondo现象新的兴趣。在量子点系统中,因为在费米能级处的Kondo共振为电流提供了一个新的通道,介观Kondo效应导致的是系统电导的增加,这不同于在稀磁合金中Kondo效应导致的是低温电阻的增加。近来有许多努力用于研究耦合于铁磁电极的串行双量子点系统的输运性质,然而只考虑了量子点内的库仑相互作用影响(点内库仑排斥)却忽略了量子点之间的库仑相互作用影响(点间库仑排斥)。基于此我们很有意思研究一下量子点之间的库仑相互作用是如何影响串行双量子点系统的传输性质,研究结果表明：(ⅰ)系统处于平衡态情况下,当考虑串行双量子点之间的库仑排斥作用时,不管磁电极磁矩是平行还是反平行,自旋向上和自旋向下的Kondo共振峰都受到一定程度的抑制作用,并且随着库仑排斥的增强这一结果越明显。(ⅱ)然而,系统处于非平衡态情况下,同样,量子点之间的库仑排斥作用不能忽略时,不管磁电极磁矩是平行还是反平行,自旋向上和自旋向下的Kondo共振峰却都得到了一定程度的加强。此两种情况是截然相反的。此外我们还简单讨论了量子间的库仑作用对系统的透射率和占有数的影响关系。得出的这些性质为我们研究串型双量子点系统提供了更多的传输性质,并且这些性质归结为系统共同存在的库仑排斥作用和Kondo效应的相互作用。这一新结果有望在研究自旋电子学中的电子关联性方面起到一些指导意义。同时,希望不论在理论或者实验方面,有更多对量子点系统中电子关联效应的研究。
The quantum dot system as the typical representation of exhibiting quantum effect in low dimensional mesoscopic system has become the hot topic recently. Especially, after the Kondo effect had been find in tunnelling conductance of quantum dot, it was widely studied in condensed matter physics. The Kondo phenomenon is a well-known physics phenomenon, it originally arises from the physically abnormal phenomenon under low temperature in dilute magnetic alloy. Follow the development of echnology in nanofabrication, it possible to investigate various Kondo resonances by means of Quantum Dots. One used Quantum Dots coupled to circuit by tunneling barriers under controlled circumstances experimentally, which has greatly aroused new interest in both the effects of the mesoscopic system. At the quantum dot. system, the Kondo resonance near the Fermi level localized provides a new channel for the mesoscopic current, so it leads to an increase of the conductance in a quantum dot. That is difference of the enhancement of the resistivity of the Kondo effect in a bulk metal. Recently, a great effort has been dedicated to the study of Kondo effect in the series-coupled double quantum dots coupled to ferromagnetic leads. And most of the previous studies on those systems have treated the Coulomb interaction effects on quantum dot (the intradot Coulomb repulsion) but have ignored the Coulomb interaction effects between quantum dots (the interdot Coulomb repulsion). However, the Coulomb electron-electron interaction is known to play a significant role in electronic transport through DQD. It is thus interesting to study how the Kondo effect and Coulomb interaction effects in spin-polarized transport through two coupled quantum dots coupled to two ferromagnetic (FM) leads in series. We have found that:(ⅰ) when the effect of the interdot Coulomb repulsion between quantum dots can't be ignored, both in P and AP configuration, the original Kondo resonance is compressed in the equilibrium case. (ⅱ) but in the noequilibrium case, when the effect of the interdot Coulomb repulsion between quantum dots is large enough, the width of original Kondo resonance become enhanced, both in P and AP configuration. Also the transmission probability and the Occupation number are calculated in the Kondo regime for the effect of the interdot Coulomb repulsion. The behaviors of them provide more information about the transport properties in the series-coupled double quantum dots system, as well as that the rich physical behavior can be attributed to the coexistence of both the interdot Coulomb repulsion and Kondo effect. We find that the interdot Coulomb repulsion in the DQD is one of the importance parameters to control transport phenomena via the modified Kondo resonances. The rich physical behaviour of this system can be attributed to the interdot Coulomb repulsion, we hope that this work will encourage further efforts, both theoretical and experimental, to probe the Coulomb interaction effects on quantum dots system.
The quantum dot system as the typical representation of exhibiting quantum effect in low dimensional mesoscopic system has become the hot topic recently. Especially, after the Kondo effect had been find in tunnelling conductance of quantum dot, it was widely studied in condensed matter physics. The Kondo phenomenon is a well-known physics phenomenon, it originally arises from the physically abnormal phenomenon under low temperature in dilute magnetic alloy. Follow the development of echnology in nanofabrication, it possible to investigate various Kondo resonances by means of Quantum Dots. One used Quantum Dots coupled to circuit by tunneling barriers under controlled circumstances experimentally, which has greatly aroused new interest in both the effects of the mesoscopic system. At the quantum dot. system, the Kondo resonance near the Fermi level localized provides a new channel for the mesoscopic current, so it leads to an increase of the conductance in a quantum dot. That is difference of the enhancement of the resistivity of the Kondo effect in a bulk metal. Recently, a great effort has been dedicated to the study of Kondo effect in the series-coupled double quantum dots coupled to ferromagnetic leads. And most of the previous studies on those systems have treated the Coulomb interaction effects on quantum dot (the intradot Coulomb repulsion) but have ignored the Coulomb interaction effects between quantum dots (the interdot Coulomb repulsion). However, the Coulomb electron-electron interaction is known to play a significant role in electronic transport through DQD. It is thus interesting to study how the Kondo effect and Coulomb interaction effects in spin-polarized transport through two coupled quantum dots coupled to two ferromagnetic (FM) leads in series. We have found that:(ⅰ) when the effect of the interdot Coulomb repulsion between quantum dots can't be ignored, both in P and AP configuration, the original Kondo resonance is compressed in the equilibrium case. (ⅱ) but in the noequilibrium case, when the effect of the interdot Coulomb repulsion between quantum dots is large enough, the width of original Kondo resonance become enhanced, both in P and AP configuration. Also the transmission probability and the Occupation number are calculated in the Kondo regime for the effect of the interdot Coulomb repulsion. The behaviors of them provide more information about the transport properties in the series-coupled double quantum dots system, as well as that the rich physical behavior can be attributed to the coexistence of both the interdot Coulomb repulsion and Kondo effect. We find that the interdot Coulomb repulsion in the DQD is one of the importance parameters to control transport phenomena via the modified Kondo resonances. The rich physical behaviour of this system can be attributed to the interdot Coulomb repulsion, we hope that this work will encourage further efforts, both theoretical and experimental, to probe the Coulomb interaction effects on quantum dots system.
引文
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[8]S Tarucha D G, T. Austing, T. Honda, Shell Filling and Spin effects in a few Electron Quantum Dot. Phys. Rev. Lett.,1996,77(17):3613-3617.
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