Nonequilibrium transport through magnetic vibrating molecules

Abstract

We calculate the nonequilibrium conductance through a molecule or a quantum dot in which the occupation of the relevant electronic level is coupled with intensity $\lambda$ to a phonon mode, and also to two conducting leads. The system is described by the Anderson-Holstein Hamiltonian. We solve the problem using the Keldysh formalism and the non-crossing approximation (NCA) for both, the electron-electron and the electron-phonon interactions. We obtain a moderate decrease of the Kondo temperature $T_K$ with $\lambda$ for fixed renormalized energy of the localized level $\widetilde{E_d}$. The meaning and value of $\widetilde{E_d}$ are discussed. The spectral density of localized electrons shows in addition to the Kondo peak of width $2T_K$, satellites of this peak shifted by multiples of the phonon frequency ${\omega }_0$. The nonequilibrium conductance as a function of bias voltage $V_b$ at small temperatures, also displays peaks at multiples of ${\omega }_0$ in addition to the central dominant Kondo peak near $V_b=0$.

11 pages, 13 figures, accepted in Phys. Rev. B

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Cited by in corpus (19)

• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Dressed tunneling approximation for electronic transport through molecular transistors
• Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
• Heat current across a capacitively coupled double quantum dot for high magnetic field
• Time-dependent spin and transport properties of a single-molecule magnet in a tunnel junction
• Enhancing of nonlinear thermoelectric response of a correlated quantum dot in the Kondo regime by asymmetrically coupling to the leads
• Functional renormalization group study of the Anderson--Holstein model
• Resolving Ambiguity of the Kondo Temperature Determination in Mechanically Tunable Single-Molecule Kondo Systems
• Impact of capacitance and tunneling asymmetries on Coulomb blockade edges and Kondo peaks in non-equilibrium transport through molecular quantum dots
• Relation between width of the zero-bias anomaly and Kondo temperaure in transport measurements through correlated quantum dots: Effect of asymmetric coupling to the leads
• Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements
• Vibron-assisted spin excitation in a magnetically anisotropic nickelocene complex
• Replicas of the Kondo peak due to electron-vibration interaction in molecular transport properties
• Exponential and power-law renormalization in phonon-assisted tunneling
• Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport
• Inelastic Kondo-Andreev tunnelings in a vibrating quantum dot
• Destructive quantum interference in transport through molecules with electron-electron and electron-vibration interactions
• Selfconsistent hybridization expansions for static properties of the Anderson impurity model
• Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime