Interpolative approach for electron-electron and electron-phonon interactions: from the Kondo to the polaronic regime

Abstract

We present a theoretical approach to determine the electronic properties of nanoscale systems exhibiting strong electron-electron and electron-phonon interactions and coupled to metallic electrodes. This approach is based on an interpolative ansatz for the electronic self-energy which becomes exact both in the limit of weak and strong coupling to the electrodes. The method provides a generalization of previous interpolative schemes which have been applied to the purely electronic case extensively. As a test case we consider the single level Anderson-Holstein model. The results obtained with the interpolative ansatz are in good agreement with existing data from Numerical Renormalization Group calculations. We also check our results by considering the case of the electrodes represented by a few discrete levels which can be diagonalized exactly. The approximation describes properly the transition from the Kondo regime where electron-electron interactions dominate to the polaronic case characterized by a strong electron-phonon interaction.

8 pages, 7 figures, accepted for publication in Physical Review B

References in corpus (22)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
• Molecular Transport Junctions: Vibrational Effects
• Phonon effects in molecular transistors: Quantum and classical treatment
• Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
• Vibrational sidebands and dissipative tunneling in molecular transistors
• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Tuning the Kondo effect with a mechanically controllable break junction
• Electron correlation resonances in the transport through a single quantum level
• Many Body Effects on the Transport Properties of Single-Molecule Devices
• Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model
• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
• Spectral Properties of the Anderson Impurity Model, Comparison of Numerical Renormalization Group and Non--Crossing Approximation
• Interpolating self-energy of the infinite-dimensional Hubbard model: Modifying the iterative perturbation theory
• Quantum transport through a deformable molecular transistor
• Transport in multilevel quantum dots: from the Kondo effect to the Coulomb blockade regime
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Numerical renormalization group study of the symmetric Anderson-Holstein model: phonon and electron spectral functions
• Quantum Monte Carlo method for models of molecular nanodevices
• Kondo Resonance Decoherence by an External Potential
• Electron-Phonon Correlation Effects in Molecular Transistors

Cited by in corpus (21)

• Thermoelectric transport with electron-phonon coupling and electron-electron interaction in molecular junctions
• Interplay of Kondo and superconducting correlations in the nonequilibrium Andreev transport through a quantum dot
• Green's function methods for single molecule junctions
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Long transient dynamics in the Anderson-Holstein model out of equilibrium
• Nonequilibrium dynamics of a singlet-triplet Anderson impurity near the quantum phase transition
• Nonequilibrium transport through magnetic vibrating molecules
• Dressed tunneling approximation for electronic transport through molecular transistors
• Nonequilibrium transport in molecular junctions with strong electron-phonon interactions
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Unified description of charge transfer mechanisms and vibronic dynamics in nanoscale junctions
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Replicas of the Fano resonances induced by phonons in a subgap Andreev tunneling
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Current-induced forces in nanosystems: A hierarchical equations of motion approach
• Transport properties of a molecule embedded in an Aharonov-Bohm interferometer
• Local density of states on a vibrational quantum dot out of equilibrium
• Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime