Quantum transport through a deformable molecular transistor

2004/09/01 by Pablo S. Cornaglia, P. S. Cornaglia, D. R. Grempel +1 · 15 citations
Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.71.075320

published as Phys. Rev. B 71, 075320 (2005) · 9 pages, 6 figures

arxiv created 2004/09/01 · openalex publication_date 2005/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The linear transport properties of a model molecular transistor with electron-electron and electron-phonon interactions were investigated analytically and numerically. The model takes into account phonon modulation of the electronic energy levels and of the tunneling barrier between the molecule and the electrodes. When both effects are present they lead to asymmetries in the dependence of the conductance on gate voltage. The Kondo effect is observed in the presence of electron-phonon interactions. There are important qualitative differences between the cases of weak and strong coupling. In the first case the standard Kondo effect driven by spin fluctuations occurs. In the second case, it is driven by charge fluctuations. The Fermi-liquid relation between the spectral density of the molecule and its charge is altered by electron-phonon interactions. Remarkably, the relation between the zero-temperature conductance and the charge remains unchanged. Therefore, there is perfect transmission in all regimes whenever the average number of electrons in the molecule is an odd integer.

Citations

• Many-Body Effects on the Transport Properties of Single-Molecule Devices
• The renormalization group: Critical phenomena and the Kondo problem
• Landauer formula for the current through an interacting electron region
• The Kondo Effect in C60 Single-Molecule Transistors

Cited by

• Scalable tensor network algorithm for quantum impurity problems
• Tensor network algorithm to solve polaron impurity problems
• Magnetoconductance through a vibrating molecule in the Kondo regime
• Interpolative approach for electron-electron and electron-phonon interactions: From the Kondo to the polaronic regime
• Vibration-induced correction to the current through a single molecule
• Kondo Resonances and Anomalous Gate Dependence in the Electrical Conductivity of Single-Molecule Transistors
• Electron-phonon correlation effects in molecular transistors
• Nonequilibrium charge-Kondo transport through negative-Umolecules
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
• Inelastic scattering from local vibrational modes
• La figura del asesor/a de formación : Algunas reflexiones
• Transport and current noise characteristics of a T-shape double-quantum-dot system
• Inelastic effects in molecular junctions in the Coulomb and Kondo regimes: Nonequilibrium equation-of-motion approach
• Electronic transport through magnetic molecules with soft vibrating modes
• Slave boson theory for transport through magnetic molecules with vibronic states

Related

• Many-Body Effects on the Transport Properties of Single-Molecule Devices
• Phonon effects in molecular transistors
• Real time electron dynamics in an interacting vibronic molecular quantum dot
• Electron transport through molecules in the Kondo regime: the role of molecular vibrations
• Transport in single-molecule transistors: Kondo physics and negative differential resistance