Quantum Shuttle Phenomena in a Nanoelectromechanical Single-Electron Transistor

Abstract

An analytical analysis of quantum shuttle phenomena in a nanoelectromechanical single-electron transistor has been performed in the realistic case, when the electron tunnelling length is much greater than the amplitude of the zero point oscillations of the central island. It is shown that when the dissipation is below a certain threshold value, the vibrational ground state of the central island is unstable. The steady-state into which this instability develops is studied. It is found that if the electric field $\mathcal{E}$ between the leads is much greater than a characteristic value ${\mathcal{E}}_q$, the quasiclassical shuttle picture is recovered, while if $\mathcal{E}\ll {\mathcal{E}}_q$ a new quantum regime of shuttle vibrations occurs. We show that in the latter regime small quantum fluctuations result in large (i.e. finite in the limit $\hslash \to 0$) shuttle vibrations.

5 pages, 1 figure

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• Phonon-mediated negative differential conductance in molecular quantum dots
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• Semi-classical dynamics of nano-electromechanical systems
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• Non-Markovian dynamics of a nanomechanical resonator measured by a quantum point contact
• Kondo Shuttling in Nanoelectromechanical Single-Electron Transistor
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Vibration-induced Kondo tunneling through metal-organic complexes with even electron occupation number
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Non-Equilibrium and Quantum Coherent Phenomena in the Electromechanics of Suspended Nanowires
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Mechanically Induced Thermal Breakdown in Magnetic Shuttle Structures
• Enhancing the conductance of a two-electron nanomechanical oscillator
• Kondo Force in Shuttling Devices: Dynamical Probe for a Kondo Cloud
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• Strong vibration nonlinearity in semiconductor-based nanomechanical systems
• Electronic spin working mechanically
• Dynamics of Shuttle Devices
• Mechanical modulation of single-electron tunneling through molecular-assembled metallic nanoparticles
• Temperature independent current deficit due to induced quantum nanowire vibrations
• Hidden vibrational bistability revealed by intrinsic fluctuations of a carbon nanotube
• Multiscale Modeling of a Nanoelectromechanical Shuttle
• Coupled Nanomechanical Electron Shuttles: Full Stochastic Modeling and Device-Level Simulation
• Self-sustained oscillations in nanoelectromechanical systems induced by Kondo resonance
• Slow Vibrations in Transport through Molecules