Sensitivity of the mixing current technique to detect nano-mechanical motion

Abstract

Detection of nano-mechanical displacement by transport techniques has reached high level of sensitivity and versatility. In order to detect the amplitude of oscillation of nano-mechanical oscillator a widely used technique consists to couple this motion capacitively to a single-electron transistor and to detect the high-frequency modulation of the current through the non-linear mixing with an electric signal at a slighltly detuned frequency. The method known as current-mixing technique is employed in particular for the detection of suspended carbon nanotubes. In this paper we study theoretically the limiting conditions on the sensitivity of this method. The sensitivity is increased by increasing the response function to the signal, but also by reducing the noise. For these reasons we study systematically the response function, the effect of current-and displacement-fluctuations, and finally the case where the tunnelling rate of the electrons are of the same order or larger of the resonating frequency. We find thus upper bounds to the sensitivity of the detection technique.

References in corpus (40)

• Introduction to Quantum Noise, Measurement and Amplification
• A tunable carbon nanotube electromechanical oscillator
• A Mechanical Mass Sensor with Yoctogram Resolution
• Ultrasensitive nanoelectromechanical mass detection
• Cooling a nanomechanical resonator with quantum back-action
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Strong magnetic coupling between an electronic spin qubit and a mechanical resonator
• Ultrasensitive force detection with a nanotube mechanical resonator
• Strong coupling between single-electron tunneling and nano-mechanical motion
• A single NV defect coupled to a nanomechanical oscillator
• Nuclear Magnetic Resonance Imaging with 90 nm Resolution
• Nanotube mechanical resonators with quality factors of up to 5 million
• Charging Effects in Ultrasmall Quantum Dots in the Presence of Time-Varying Fields
• Digital and FM demodulation of a doubly-clamped single wall carbon nanotube oscillator: towards a nanotube cell phone
• Real-Space Tailoring of the Electron-Phonon Coupling in Ultra-Clean Nanotube Mechanical Resonators
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Cooling carbon nanotubes to the phononic ground state with constant electron current
• Single-electron Tunneling with Strong Mechanical Feedback
• Two-mode squeezing in an electromechanical resonator
• Self-consistent theory of molecular switching
• Sensitivity of a micromechanical displacement detector based on the radio-frequency single-electron transistor
• Cavity-enhanced optical detection of carbon nanotube Brownian motion
• An off-board quantum point contact as a sensitive detector of cantilever motion
• Probing the charge of a quantum dot with a nanomechanical resonator
• Strong feedback and current noise in nanoelectromechanical systems
• Single molecule detection of nanomechanical motion
• Ground-state cooling of a carbon nanomechanical resonator by spin-polarized current
• Charge transport through a SET with a mechanically oscillating island
• Current noise of a single-electron transistor coupled to a nano-mechanical resonator
• Distortion blockade in classical nano-electromechanical resonator
• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Observation of decoherence in a carbon nanotube mechanical resonator
• Electrical transport through a single-electron transistor strongly coupled to an oscillator
• Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
• Euler buckling instability and enhanced current blockade in suspended single-electron transistors
• Cooling a vibrational mode coupled to a molecular single-electron transistor
• Electro-Mechanical Transition in Quantum dots
• Large current noise in nanoelectromechanical systems close to continuous mechanical instabilities
• Tunable spin-polaron state in a singly clamped semiconducting carbon nanotube

Cited by in corpus (5)

• Ultrasensitive Displacement Noise Measurement of Carbon Nanotube Mechanical Resonators
• Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator
• Measuring carbon nanotube vibrations using a single-electron transistor as a fast linear amplifier
• Nanomechanical vibrational response from electrical mixing measurements
• Sensing and cooling of a nanomechanical resonator with an electron beam stimulated internal feedback and a capacitive force