arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.05661cond-mat.mes-hall
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量子点中的多能级相干性

Multilevel coherences in quantum dots

Martin T. Maurer, Jürgen König, Herbert Schoeller

摘要:

我们研究通过强相互作用的量子点与$N$能级,弱耦合到通用的多通道金属铅的运输。在制度的相干顺序隧穿,其中水平间距和加宽是相同的顺序,但小的温度相比,我们提出了一个统一的,$SU(N)$不变的形式的动力学方程的减少密度矩阵的点和隧穿电流。这是通过引入的点和水库的味道极化的概念,并分裂的动力学方程的味道积累,各向异性的味道松弛,以及交换场和失谐引起的味道旋转。特别是,我们确定了交换场的原因出现在一般的量子点模型中的非共振偏置电压的负微分电导。为了说明味道极化的概念,我们分析了通过三重量子点器件的非线性电流。

英文摘要:

We study transport through strongly interacting quantum dots with $N$ energy levels that are weakly coupled to generic multi-channel metallic leads. In the regime of coherent sequential tunneling, where level spacing and broadening are of the same order but small compared to temperature, we present a unified, $SU(N)$-invariant form of the kinetic equation for the reduced density matrix of the dot and the tunneling current. This is achieved by introducing the concept of flavor polarization for the dot and the reservoirs, and splitting the kinetic equation in terms of flavor accumulation, anisotropic flavor relaxation, as well as exchange-field- and detuning-induced flavor rotation. In particular, we identify the exchange field as the cause of negative differential conductance at off-resonance bias voltages appearing in generic quantum-dot models. To illustrate the notion of flavor polarization, we analyze the non-linear current through a triple quantum-dot device.

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