Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor

Abstract

We describe single electron tunneling through molecular structures under the influence of nano-mechanical excitations. We develop a full quantum mechanical model, which includes charging effects and dissipation, and apply it to the vibrating C${}_{60}$ single electron transistor experiment by Park {\em et al.} {[Nature {\bf 407}, 57 (2000)].} We find good agreement and argue vibrations to be essential to molecular electronic systems. We propose a mechanism to realize negative differential conductance using local bosonic excitations.

7 pages, 6 figures

Cited by in corpus (113)

• Driven quantum transport on the nanoscale
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Protein bioelectronics: a review of what we do and do not know
• Theory of the Franck-Condon blockade regime
• Thermopower of Single-Molecule Devices
• Tunneling broadening of vibrational sidebands in molecular transistors
• Single electron-phonon interaction in a suspended quantum dot phonon cavity
• Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Effects of electron-phonon interaction on non-equilibrium transport through single-molecule transistor
• Full counting statistics of nano-electromechanical systems
• Current-induced nonequilibrium vibrations in single-molecule devices
• Quantum Shuttle in Phase Space
• Incoherent dynamics of vibrating single-molecule transistors
• Theory of Vibrationally Inelastic Electron Transport through Molecular Bridges
• Temperature dependence of polaronic transport through single molecules and quantum dots
• Shot Noise of a Quantum Shuttle
• Vibrational Sidebands and Kondo-effect in Molecular Transistors
• Current noise in a vibrating quantum dot array
• Phonon-mediated negative differential conductance in molecular quantum dots
• Charge transport through single molecules, quantum dots, and quantum wires
• Super-poissonian noise, negative differential conductance, and relaxation effects in transport through molecules, quantum dots and nanotubes
• Vibration-induced correction to the current through a single molecule
• Transport via a quantum shuttle
• Single-electron Tunneling with Strong Mechanical Feedback
• Vibrational effects in laser driven molecular wires
• Self-consistent theory of molecular switching
• Quantum Shuttle Phenomena in a Nanoelectromechanical Single-Electron Transistor
• Multimode vibrational effects in single molecule conductance: A nonequilibrium Green's function approach
• Full Counting Statistics of a charge shuttle
• Phonon runaway in nanotube quantum dots
• Full counting statistics of strongly non-Ohmic transport through single molecules
• Vibrational Excitations in Weakly Coupled Single-Molecule Junctions: A Computational Analysis
• Green function techniques in the treatment of quantum transport at the molecular scale
• Vibrational Instability due to Coherent Tunneling of Electrons
• Steering of a Bosonic Mode with a Double Quantum Dot
• Dicke Effect in the Tunnel Current through two Double Quantum Dots
• The charge shuttle as a nanomechanical ratchet
• Effects of charge-dependent vibrational frequencies and anharmonicities in transport through molecules
• Three-terminal scanning tunneling spectroscopy of suspended carbon nanotubes
• Josephson current through a molecular transistor in a dissipative environment
• Nuclear wave function interference in single-molecule electron transport
• Photon-Phonon-assisted tunneling through a single-molecular quantum dot
• Electron-vibron coupling in suspended carbon nanotube quantum dots
• Shot noise of inelastic tunneling through quantum dot systems
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Superconducting transport through a vibrating molecule
• Electromechanics of charge shuttling in dissipative nanostructures
• Vibronic effects on resonant electron conduction through single molecule junctions
• Full counting statistics of a single-molecular quantum dot
• Vibrational effects in charge transport through a molecular double quantum dot
• Quantum Description of Shuttle Instability in Nanoelectromechanical Single Electron Transistor
• Stochastic thermodynamics of self-oscillations: the electron shuttle
• Charge transport through a flexible molecular junction
• Low frequency current noise of the single-electron shuttle
• Vibration-mediated resonant tunneling and shot noise through a molecular quantum dot
• Cooling a vibrational mode coupled to a molecular single-electron transistor
• Electroluminescence spectra in weakly coupled single-molecule junctions
• Transport through a molecular quantum dot in the polaron crossover regime
• Autonomous implementation of thermodynamic cycles at the nanoscale
• Phonon Squeezing in a Superconducting Molecular Transistor
• Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity
• Effect of broadening in the weak coupling limit of vibrationally coupled electron transport through molecular junctions and the analogy to quantum dot circuit QED systems
• Rectification in single molecular dimers with strong polaron effect
• Nonlinear adiabatic response of interacting quantum dots
• Many-body Green's function theory for electron-phonon interactions: ground state properties of the Holstein dimer
• Spin-detection in a quantum electromechanical shuttle system
• Transport properties of double quantum dots with electron-phonon coupling
• Temperature dependence of electron transport through a quantum shuttle
• Electron-vibron coupling in suspended nanotubes
• Readout scheme of the fullerene-based quantum computer by a single electron transistor
• Mechanical Cooper pair transportation as a source of long distance superconducting phase coherence
• Full counting statistics for transport through a molecular quantum dot magnet
• Dynamics and Current Fluctuations in AC driven Charge Shuttle
• Dissipative tunneling and orthogonality catastrophe in molecular transistors
• Quantum transport through single-molecule junctions with orbital degeneracies
• Molecular transistor coupled to phonons and Luttinger-liquid leads
• Phonon distributions of a single bath mode coupled to a quantum dot
• Kondo Shuttling in Nanoelectromechanical Single-Electron Transistor
• Spin Current and Shot Noise in Single-Molecule Quantum Dots with a Phonon Mode
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Vibration-induced Kondo tunneling through metal-organic complexes with even electron occupation number
• Vibrationally dependent electron-electron interactions in resonant electron transport through single-molecule junctions
• Transport via a Quantum Shuttle
• Sharp negative differential resistance from vibrational mode softening in molecular junctions
• Vibrationally coupled electron transport in single-molecule junctions: The importance of electron-hole pair creation processes
• Electron-magnon coupling and nonlinear tunneling transport in magnetic nanoparticles
• Vibrational Coherences in Nano-Elastic Tunneling
• Dynamical symmetry breaking in vibration-assisted transport through nanostructures
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Counting statistics of tunneling through a single molecule: effect of distortion and displacement of vibrational potential surface
• Resonant magneto-conductance through a vibrating nanotube
• Adiabatic polaron dynamics and Josephson effect in a superconducting molecular quantum dot
• Current and current fluctuations in quantum shuttles
• Current-oscillator correlation and Fano factor spectrum of quantum shuttle with finite bias voltage and temperature
• Finite frequency current noise in the Holstein model
• Interplay of magneto-elastic and polaronic effects in electronic transport through suspended carbon-nanotube quantum dots
• Impact of van der Waals forces on the classical shuttle instability
• Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes
• Elimination of negative differential conductance in an asymmetric molecular transistor by an ac-voltage
• Dynamics of Shuttle Devices
• Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction
• Robust negative differential conductance and enhanced shot noise in transport through a molecular transistor with vibration assistance
• Electron shuttle as an autonomous single-electron source
• Mechanical modulation of single-electron tunneling through molecular-assembled metallic nanoparticles
• Vibrational assisted conduction in a molecular wire
• Multiscale Modeling of a Nanoelectromechanical Shuttle
• Interference and shot noise in a degenerate Anderson-Holstein model
• Particle tunneling through a polarizable insulator
• Broken Symmetry and Coherence of Molecular Vibrations in Tunnel Transitions
• Quantum Teleportation in One-Dimensional Quantum Dots System