Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes

Abstract

A low energy theory of suspended carbon nanotube quantum dots in weak tunnelling coupling with metallic leads is presented. The focus is put on the dependence of the spectrum and the Franck-Condon factors on the geometry of the junction including several vibronic modes. The relative size and the relative position of the dot and its associated vibrons strongly influence the electromechanical properties of the system. A detailed analysis of the complete parameters space reveals different regimes: in the short vibron regime the tunnelling of an electron into the nanotube generates a plasmon-vibron excitation while in the long vibron regime polaron excitations dominate the scenario. The small, position dependent Franck-Condon couplings of the small vibron regime convert into uniform, large couplings in the long vibron regime. Selection rules for the excitations of the different plasmon-vibron modes via electronic tunnelling events are also derived.

23 pages, 8 figures, new version according to the published one

References in corpus (22)

• A tunable carbon nanotube electromechanical oscillator
• Nonlinear damping in mechanical resonators based on graphene and carbon nanotubes
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• The Kondo effect in C${}_{60}$ single-molecule transistors
• 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
• Rate equations for Coulomb blockade with ferromagnetic leads
• A benzene interference single-electron transistor
• Pumping of vibrational excitations in a Coulomb blockaded suspended carbon nanotube
• Symmetry fingerprints of a benzene single-electron transistor
• Transport through a double quantum dot system with non-collinearly polarized leads
• Interference effects in the Coulomb blockade regime: current blocking and spin preparation in symmetric nanojunctions
• Linear and nonlinear transport across carbon nanotube quantum dots
• Spin transport across carbon nanotube quantum dots
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Vibration-mediated resonant tunneling and shot noise through a molecular quantum dot
• The spectrum of interacting metallic carbon nanotubes: Exchange effects and universality
• The low energy spectrum of finite size metallic SWNTs
• Non-Fermi liquid behavior in transport across carbon nanotube quantum dots
• Dynamical symmetry breaking in vibration-assisted transport through nanostructures

Cited by in corpus (3)

• Out of equilibrium density dynamics of a quenched fermionic system
• Switchable Coupling of Vibrations to Two-Electron Carbon-Nanotube Quantum Dot States
• Magnetic field control of the Franck-Condon coupling of few-electron quantum states