Electron-vibron coupling in suspended carbon nanotube quantum dots

Abstract

Motivated by recent experiments, we investigate the electron-vibron coupling in suspended carbon nanotube quantum dots, starting with the electron-phonon coupling of the underlying graphene layer. We show that the coupling strength depends sensitively on the type of vibron and is strongly sample dependent. The coupling strength becomes particularly strong when inhomogeneity-induced electronic quantum dots are located near regions where the vibronic mode is associated with large strain. Specifically, we find that the longitudinal stretching mode and the radial breathing mode are coupled via the strong deformation potential, while twist modes couple more weakly via a mechanism involving modulation of the electronic hopping amplitudes between carbon sites. A special case are bending modes: for symmetry reasons, their coupling is only quadratic in the vibron coordinate. Our results can explain recent experiments on suspended carbon nanotube quantum dots which exibit vibrational sidebands accompanied by the Franck-Condon blockade with strong electron-vibron coupling.

References in corpus (11)

• A tunable carbon nanotube electromechanical oscillator
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Electrical generation and absorption of phonons in carbon nanotubes
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Theory of the Franck-Condon blockade regime
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Pumping of vibrational excitations in a Coulomb blockaded suspended carbon nanotube
• Synthetic electric fields and phonon damping in carbon nanotubes and graphene
• Phonon-phonon interactions and phonon damping in carbon nanotubes

Cited by in corpus (32)

• Quantum transport in carbon nanotubes
• Spin-orbit-induced strong coupling of a single spin to a nanomechanical resonator
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Probing the charge of a quantum dot with a nanomechanical resonator
• Spin relaxation due to deflection coupling in nanotube quantum dots
• Fictitious gauge fields in bilayer graphene
• Asymmetric Franck-Condon factors in suspended carbon nanotube quantum dots
• Few-hundred GHz Carbon Nanotube NEMS
• Acoustic phonons and spin relaxation in graphene nanoribbons
• Euler buckling instability and enhanced current blockade in suspended single-electron transistors
• Exciton-assisted optomechanics with suspended carbon nanotubes
• Vibrational effects in charge transport through a molecular double quantum dot
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Discontinuous Euler instability in nanoelectromechanical systems
• Electron Spin Relaxation in Graphene Nanoribbon Quantum Dots
• Ultrastrong coupling between electron tunneling and mechanical motion
• Mechanically induced spin resonance in a carbon nanotube
• Ultra-short suspended single-wall carbon nanotube transistors
• Lasing and antibunching of optical phonons in semiconductor double quantum dots
• Damping of mechanical vibrations by free electrons in metallic nanoresonators
• Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes
• Bipolaronic blockade effect in quantum dots with negative charging energy
• Transient dynamics of an adiabatic NEMS
• Microsecond-lived quantum states in a carbon-based circuit driven by cavity photons
• Magnetic field control of the Franck-Condon coupling of few-electron quantum states
• Probing Wigner correlations in a suspended carbon nanotube
• Lifting the Franck-Condon blockade in driven quantum dots
• Cotunneling, current blockade, and backaction forces in nanobeams close to the Euler buckling instability
• Electromechanical instability in vibrating quantum dots with effectively negative charging energy
• Quantum Transport Straintronics and Mechanical Aharonov-Bohm Effect in Quasi-metallic SWCNTs
• Electron-phonon interaction and electronic correlations in transport through electrostatically and tunnel coupled quantum dots
• Correlated insulating states in carbon nanotubes controlled by magnetic field