arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0901.0016cond-mat.mes-hallcond-mat.str-el
收藏

含“磁性杂质”量子点的基态和激发

Ground State and Excitations of Quantum Dots with "Magnetic Impurities"

R. K. Kaul, D. Ullmo, G. Zarand, S. Chandrasekharan, H. U. Baranger

摘要:

我们考虑一个“杂质”的自旋自由度耦合到一个有限的水库的非相互作用的电子,一个系统,它可以实现一个真正的杂质在金属纳米粒子或一个小的量子点耦合到一个大的。我们展示了如何在整个有限尺寸系统的多体光谱中揭示这种自旋杂质的物理特性;特别是,光谱随杂质-储层耦合强度的演化反映了基本的多体相关性。在强耦合和弱耦合极限下的显式计算表明,谱及其演化对杂质的性质和库中电子的宇称很敏感。考虑了有限尺寸谱对两个实验观测量的影响。首先,我们提出了一个实验装置,在该装置中,可以方便地使用隧道光谱测量光谱。微分电导的速率方程计算表明如何多体光谱特征可以观察到。其次,给出了有限温度下的磁化率,包括杂质磁化率和局域磁化率。大量的量子Monte-Carlo计算表明,局域磁化率偏离其体标度形式。然而,对于特殊的假设水库-“干净的近藤箱”模型-我们证明,有限尺寸标度恢复。这些标度函数的显式数值评价,偶数和奇数奇偶校验和规范和巨规范合奏。

英文摘要:

We consider an "impurity" with a spin degree of freedom coupled to a finite reservoir of non-interacting electrons, a system which may be realized by either a true impurity in a metallic nano-particle or a small quantum dot coupled to a large one. We show how the physics of such a spin impurity is revealed in the many-body spectrum of the entire finite-size system; in particular, the evolution of the spectrum with the strength of the impurity-reservoir coupling reflects the fundamental many-body correlations present. Explicit calculation in the strong and weak coupling limits shows that the spectrum and its evolution are sensitive to the nature of the impurity and the parity of electrons in the reservoir. The effect of the finite size spectrum on two experimental observables is considered. First, we propose an experimental setup in which the spectrum may be conveniently measured using tunneling spectroscopy. A rate equation calculation of the differential conductance suggests how the many-body spectral features may be observed. Second, the finite-temperature magnetic susceptibility is presented, both the impurity susceptibility and the local susceptibility. Extensive quantum Monte-Carlo calculations show that the local susceptibility deviates from its bulk scaling form. Nevertheless, for special assumptions about the reservoir -- the "clean Kondo box" model -- we demonstrate that finite-size scaling is recovered. Explicit numerical evaluations of these scaling functions are given, both for even and odd parity and for the canonical and grand-canonical ensembles.

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。

↑