Phonon-assisted tunneling and two-channel Kondo physics in molecular junctions

Abstract

The interplay between vibrational modes and Kondo physics is a fundamental aspect of transport properties of correlated molecular conductors. We present theoretical results for a single molecule in the Kondo regime connected to left and right metallic leads, creating the usual coupling to a conduction channel with left-right parity ("even"). A center-of-mass vibrational mode introduces an additional, phonon-assisted, tunneling through the antisymmetric ("odd") channel. A non-Fermi liquid fixed point, reminiscent of the two-channel Kondo effect, appears at a critical value of the phonon-mediated coupling strength. Our numerical renormalization-group calculations for this system reveal non-Fermi-liquid behavior at low temperatures over lines of critical points. Signatures of this strongly correlated state are prominent in the thermodynamic properties and in the linear conductance.

5 pages, 4 figures; to appear in Phys. Rev. B

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Cited by in corpus (15)

• Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Kondo Effect of a Vibrating Magnetic Impurity
• Kondo Effect of a Magnetic Ion Vibrating in a Harmonic Potential
• Dynamical magnetic anisotropy and quantum phase transitions in a vibrating spin-1 molecular junction
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Electric Dipolar Kondo Effect Emerging from Vibrating Magnetic Ion
• Phonon assisted resonant tunnelling and its phonons control
• Bipolaron-SO(5) Non-Fermi Liquid in a Two-channel Anderson Model with Phonon-assisted Hybridizations
• Many-body quantum interference route to the two-channel Kondo effect: Inverse design for molecular junctions and quantum dot devices
• Cavity-enhanced Kondo effect
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• Effects of electron-phonon coupling in the Kondo regime of a two-orbital molecule
• Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations