Numerous reports have elucidated the importance of mechanical resonators comprising quantum-dot-embedded carbon nanotubes (CNTs) for studying the effects of single-electron transport. However, there is a need to investigate the single-electron transport that drives a large amplitude into a nonlinear regime. Herein, a CNT hybrid device has been investigated, which comprises a gate-defined quantum dot that is embedded into a mechanical resonator under strong actuation conditions. The Coulomb peak positions synchronously oscillate with the mechanical vibrations, enabling a single-electron “chopper” mode. Conversely, the vibration amplitude of the CNT versus its frequency can be directly visualized via detecting the time-averaged single-electron tunneling current. To understand this phenomenon, a general formula is derived for this time-averaged single-electron tunneling current, which agrees well with the experimental results. By using this visualization method, a variety of nonlinear motions of a CNT mechanical oscillator have been directly recorded, such as Duffing nonlinearity, parametric resonance, and double-, fractional-, mixed- frequency excitations. This approach opens up burgeoning opportunities for investigating and understanding the nonlinear motion of a nanomechanical system and its interactions with electron transport in quantum regimes.

许多报告阐明了包含量子点嵌入式碳纳米管（CNT）的机械谐振器对于研究单电子传输的影响的重要性。但是，有必要研究将大幅度驱动到非线性状态的单电子传输。在本文中，已经研究了CNT混合器件，该器件包括在强驱动条件下嵌入机械谐振器中的门限定量子点。库仑峰值位置与机械振动同步振荡，从而实现单电子“斩波”模式。相反，通过检测时间平均的单电子隧穿电流，可以直接显示CNT的振动幅度及其频率。要了解这种现象，推导了该时间平均单电子隧穿电流的通用公式，该公式与实验结果吻合良好。通过使用这种可视化方法，直接记录了CNT机械振荡器的各种非线性运动，例如Duffing非线性，参数共振以及双，分数，混合频率激励。这种方法为研究和理解纳米力学系统的非线性运动及其在量子状态下与电子传输的相互作用开辟了新的机遇。混频激励。这种方法为研究和理解纳米力学系统的非线性运动及其在量子状态下与电子传输的相互作用开辟了新的机遇。混频激励。这种方法为研究和理解纳米力学系统的非线性运动及其在量子状态下与电子传输的相互作用开辟了新的机遇。