Self-driven oscillation in Coulomb blockaded suspended carbon nanotubes

Willick, Kyle; Baugh, Jonathan

doi:10.1103/physrevresearch.2.033040

“…Self-sustained mechanical oscillations were first observed in a carbon nanotube (CNT)-based transistor [12], with further studies later verifying their transport signatures [13][14][15]. Recently, the experimental observation of self-driven oscillations of a CNT-based quantum dot in the Coulomb blockade regime has been reported [16].…”

Section: Introductionmentioning

confidence: 93%

“…[29]. However, to simplify this procedure, we will consider the adiabatic case when α 1, which corresponds to a typical experimental situation [16] and reduces the problem to one that allows the use of Poincare analysis. More specifically, this inequality allows one to find a solution of Eq.…”

Section: Model and Dynamicsmentioning

confidence: 99%

Nanomechanics driven by the superconducting proximity effect

Bahrova,

Kulinich,

Gorelik

et al. 2021

Preprint

View full text Add to dashboard Cite

We consider a nanoelectromechanical weak link composed of a carbon nanotube suspended above a trench in a normal metal electrode and positioned in a gap between two superconducting leads. The nanotube is treated as a movable single-level quantum dot in which the position-dependent superconducting order parameter is induced as a result of Cooper pair tunneling. We show that in such a system, self-sustained bending vibrations can emerge if a bias voltage is applied between normal and superconducting electrodes. The occurrence of this effect crucially depends on the direction of the bias voltage and the relative position of the quantum dot level. We also demonstrate that the nanotube vibrations strongly affect the dc current through the system, a characteristic that can be used for the direct experimental observation of the predicted phenomenon.

show abstract

“…Self-sustained mechanical oscillations were first observed in a carbon nanotube (CNT)-based transistor [12], with further studies later verifying their transport signatures [13][14][15]. Recently, the experimental observation of self-driven oscillations of a CNT-based quantum dot (QD) in the Coulomb blockade regime has been reported [16].…”

Section: Introductionmentioning

confidence: 94%

“…and then substituting this solution into equation ( 12) gives (to accuracy α) the following nonlinear differential equation for x(t), ẍ − η(x, φ)ẋ + x = F(x, φ), (16) the solution of which may be analyzed via Poincare's theory. Here, the nonlinear force F(x, φ) and friction coefficient (in what follows we refer to it as a pumping coefficient) η(x, φ) generated by interaction with the nonequilibrium electronic environment, take the form,…”

Section: Model and Dynamicsmentioning

confidence: 99%

Nanomechanics driven by the superconducting proximity effect

Bahrova

¹

,

Kulinich

²

,

Gorelik

³

et al. 2022

New J. Phys.

1

0

View full text Add to dashboard Cite

We consider a nanoelectromechanical weak link composed of a carbon nanotube suspended above a trench in a normal metal electrode and positioned in a gap between two superconducting leads. The nanotube is treated as a movable single-level quantum dot in which the position-dependent superconducting order parameter is induced as a result of Cooper pair tunneling. We show that in such a system, self-sustained bending vibrations can emerge if a bias voltage is applied between normal and superconducting electrodes. The occurrence of this effect crucially depends on the direction of the bias voltage and the relative position of the quantum dot level. We also demonstrate that the nanotube vibrations strongly affect the dc current through the system, a characteristic that can be used for the direct experimental observation of the predicted phenomenon.

show abstract

“…Large amount of fascinating physical phenomena have been predicted and observed in various NEMS, e.g. energy level quantization of a nanomechanical oscillator [11], a strong resonant coupling of nanomechanical oscillator to superconducting qubits [12], mechanical cooling [13][14][15], a single-atom lasing effect [12,16], mechanical transportation of Cooper pairs [17] and the generation of self-driven mechanical oscillations by a DC charge flow [18][19][20][21][22][23], just to name a few. Significant part of these effects are based on the resonant excitation of low damped mechanical modes by coherent quantum dynamics occurring in the electronic subsystem.…”

mentioning

confidence: 99%

Nano-mechanics driven by Andreev tunneling

Parafilo,

Gorelik,

Fistul

et al. 2020

Preprint

0

View full text Add to dashboard Cite

We predict and analyze mechanical instability and corresponding self-sustained mechanical oscillations occurring in a nanoelectromechanical system composed of a metallic carbon nanotube (CNT) suspended between two superconducting leads and coupled to a scanning tunneling microscope (STM) tip. We show that such phenomena are realized in the presence of both the coherent Andreev tunneling between the CNT and superconducting leads, and an incoherent single electron tunneling between the voltage biased STM tip and CNT. Treating the CNT as a single-level quantum dot, we demonstrate that the mechanical instability is controlled by the Josephson phase difference, relative position of the electron energy level, and the direction of the charge flow. It is found numerically that the emergence of the self-sustained oscillations leads to a substantial suppression of DC electric current.

show abstract

Self-driven oscillation in Coulomb blockaded suspended carbon nanotubes

Cited by 9 publications

References 24 publications

Nanomechanics driven by the superconducting proximity effect

Nanomechanics driven by the superconducting proximity effect

Nanomechanics driven by the superconducting proximity effect

Nano-mechanics driven by Andreev tunneling

Contact Info

Product

Resources

About