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arXiv 1003.0845cond-mat.mes-hall
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库仑点-铅耦合对量子点动力学的影响

Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot

Florian Elste, David R. Reichman, Andrew J. Millis

摘要:

库仑耦合的动力学上的量子点杂交的铅的效果进行了测定。计算处理的电荷波动之间的相互作用的点和动态产生的图像电荷的引线。一个正式的精确解耦合到一个Luttinger液体和近似解,相当于治疗内的随机相位近似的铅动力学的点耦合到一个二维或三维的金属铅。从长程库仑相互作用所产生的领先的分歧被发现取消,所以在二维和三维的情况下,量子点动力学是等效的,通过忽略点铅库仑耦合和库仑重整化的铅电子,而在一维的情况下,点铅混合增强相对于非相互作用的情况下。给出了短时动力学的显式结果。

英文摘要:

The effect of a Coulombic coupling on the dynamics of a quantum dot hybridized to leads is determined. The calculation treats the interaction between charge fluctuations on the dot and the dynamically generated image charge in the leads. A formally exact solution is presented for a dot coupled to a Luttinger liquid and an approximate solution, equivalent to treating the lead dynamics within a random phase approximation, is given for a dot coupled to a two- or three-dimensional metallic lead. The leading divergences arising from the long-ranged Coulomb interaction are found to cancel, so that in the two- and three-dimensional cases the quantum-dot dynamics is equivalent to that obtained by neglecting both the dot-lead Coulomb coupling and the Coulomb renormalization of the lead electrons, while in the one-dimensional case the dot-lead mixing is enhanced relative to the non-interacting case. Explicit results are given for the short-time dynamics.

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