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Coulomb-blockade effect in nonlinear mesoscopic capacitors

机译:非线性介观电容器中的库仑阻塞效应

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摘要

We consider an interacting quantum dot working as a coherent source of singleelectrons. The dot is tunnel coupled to a reservoir and capacitively coupled toa gate terminal with an applied ac potential. At low frequencies, this is thequantum analog of the RC circuit with a purely dynamical response. Weinvestigate the quantized dynamics as a consequence of ac pulses with largeamplitude. Within a Keldysh-Green function formalism we derive thetime-dependent current in the Coulomb blockade regime. Our theory thus extendsprevious models that considered either noninteracting electrons in nonlinearresponse or interacting electrons in the linear regime. We prove that theelectron emission and absorption resonances undergo a splitting when thecharging energy is larger than the tunnel broadening. For very large chargingenergies, the additional peaks collapse and the original resonances arerecovered, though with a reduced amplitude. Quantization of the charge emittedby the capacitor is reduced due to Coulomb repulsion and additional plateausarise. Additionally, we discuss the differential capacitance and resistance asa function of time. We find that to leading order in driving frequency thecurrent can be expressed as a weighted sum of noninteracting currents shiftedby the charging energy.
机译:我们考虑一个相互作用的量子点作为单电子的相干源。该点被隧道耦合到储层,并通过施加的交流电势电容耦合到栅极端子。在低频下,这是具有纯动态响应的RC电路的量子模拟。我们研究了由于交流脉冲具有大振幅而导致的量化动力学。在Keldysh-Green函数形式主义中,我们推导了库仑封锁体制中与时间有关的电流。因此,我们的理论扩展了先前的模型,该模型考虑了非线性响应中的非相互作用电子或线性状态中的相互作用电子。我们证明,当充电能量大于隧道扩宽时,电子的发射和吸收共振会发生分裂。对于非常大的充电能量,附加的峰会塌陷,并且尽管振幅会减小,但会恢复原始的共振。由于库仑斥力和额外的板载上升,减少了电容器发出的电荷的量化。此外,我们讨论了差分电容和电阻随时间的变化。我们发现,以驱动频率的前导顺序,电流可以表示为因充电能量而偏移的非交互电流的加权和。

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