Resonant polaron-assisted tunneling of strongly interacting electrons through a single-level vibrating quantum dot

Abstract

The problem of resonant transport of strongly interacting electrons through a one-dimensional single-level vibrating quantum dot is being considered. In this paper, we generalize the Komnik and Gogolin model [Phys. Rev. Lett., 90, 246403, (2003)] for the single-electron transistor with g=1/2 Luttinger liquid leads to the case of a strong electron-vibron interaction in a quantum dot. The effective transmission coefficient and differential conductance of the system has been derived for the general case of asymmetric tunnel barriers. The main result obtained is that, in the zero-temperature limit, the resonant polaron-assisted tunneling with perfect transmission is possible. This resonant tunneling is of the novel (Andreev-like) type due to a special electron-electron interaction in the leads. As a result, a strong domination of resonant polaron-assisted electron transport at low temperatures has been found. Additional narrowing due to electron-electron interaction in the leads, is roughly the same for all polaron-assisted resonances.

arXiv comment9 pages, 3 figures

References in corpus (16)

• Molecular Transport Junctions: Vibrational Effects
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Theory of the Franck-Condon blockade regime
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Temperature dependence of polaronic transport through single molecules and quantum dots
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Resonant tunnelling between Luttinger liquids: solvable case
• Nanoelectromechanical coupling in fullerene peapods probed via resonant electrical transport experiments
• Quantum Description of Shuttle Instability in Nanoelectromechanical Single Electron Transistor
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• The Influence of Electro-Mechanical Effects on Resonant Electron Tunneling Through Small Carbon Nano-Peapods
• Magnetopolaronic effects in electron transport through a single-level vibrating quantum dot
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Luttinger liquid and polaronic effects in electron transport through a molecular transistor
• Polaronic effects in electron shuttling

Cited by in corpus (5)

• Tunneling conductance due to discrete spectrum of Andreev states
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Finite frequency current noise in the Holstein model
• Anomalous zero-temperature magnetopolaronic blockade of resonant electron tunneling in Majorana-resonant-level single-electron transistor