Electrical transport through a single-electron transistor strongly coupled to an oscillator

Abstract

We investigate electrical transport through a single-electron transistor coupled to a nanomechanical oscillator. Using a combination of a master-equation approach and a numerical Monte Carlo method, we calculate the average current and the current noise in the strong-coupling regime, studying deviations from previously derived analytic results valid in the limit of weak-coupling. After generalizing the weak-coupling theory to enable the calculation of higher cumulants of the current, we use our numerical approach to study how the third cumulant is affected in the strong-coupling regime. In this case, we find an interesting crossover between a weak-coupling transport regime where the third cumulant heavily depends on the frequency of the oscillator to one where it becomes practically independent of this parameter. Finally, we study the spectrum of the transport noise and show that the two peaks found in the weak-coupling limit merge on increasing the coupling strength. Our calculation of the frequency-dependence of the noise also allows to describe how transport-induced damping of the mechanical oscillations is affected in the strong-coupling regime.

11 pages, 9 figures

References in corpus (26)

• Shot Noise in Mesoscopic Conductors
• A tunable carbon nanotube electromechanical oscillator
• Counting statistics of single-electron transport in a quantum dot
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Shuttle Mechanism for Charge Transfer in Coulomb Blockade Nanostructures
• Carbon Nanotubes as Nanoelectromechanical Systems
• Positive cross-correlations in a three-terminal quantum dot with ferromagnetic contacts
• A nanomechanical resonator shuttling single electrons at radio frequencies
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Zero Frequency Current Noise for the Double Tunnel Junction Coulomb Blockade
• Full counting statistics of nano-electromechanical systems
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Shot Noise of a Quantum Shuttle
• Positive cross-correlations due to Dynamical Channel-Blockade in a three-terminal quantum dot
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Quantum Shuttle Phenomena in a Nanoelectromechanical Single-Electron Transistor
• Full Counting Statistics of a charge shuttle
• Quantum limited sensitivity of SET-based displacement detectors
• Nanoelectromechanical Systems
• Accuracy of a mechanical single electron shuttle
• Charge transport through a SET with a mechanically oscillating island
• Current noise of a single-electron transistor coupled to a nano-mechanical resonator
• Spintronics of a Nanoelectromechanical Shuttle
• Low frequency current noise of the single-electron shuttle
• Dynamics and Current Fluctuations in AC driven Charge Shuttle
• Noise properties of two single electron transistors coupled by a nanomechanical resonator

Cited by in corpus (26)

• Molecular Transport Junctions: Vibrational Effects
• Self-consistent theory of molecular switching
• Damping of a nanomechanical oscillator strongly coupled to a quantum dot
• Probing the charge of a quantum dot with a nanomechanical resonator
• Proposal for a nanomechanical qubit
• Distortion blockade in classical nano-electromechanical resonator
• Photon-mediated electron transport in hybrid circuit-QED
• Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Coherent properties of nano-electromechanical systems
• Euler buckling instability and enhanced current blockade in suspended single-electron transistors
• Dynamical multistability in a quantum-dot laser
• Cooling a vibrational mode coupled to a molecular single-electron transistor
• Electro-Mechanical Transition in Quantum dots
• Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator
• Improved position measurement of nano electromechanical systems using cross correlations
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
• Mechanically probing coherent tunnelling in a double quantum dot
• Non-linear dynamics of a driven nanomechanical single electron transistor
• Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots
• Sensitivity of the mixing current technique to detect nano-mechanical motion
• Spectral properties of a resonator driven by a superconducting single-electron transistor
• Mechanical feedback in the high-frequency limit
• Coulomb blockade for an oscillating tunnel junction
• Conductance of a SET with a retarded dielectric layer in the gate capacitor