Resonant tunneling and Fano resonance in quantum dots with electron-phonon interaction

Abstract

We theoretically study the resonant tunneling and Fano resonance in quantum dots with electron-phonon (e-ph) interaction. We examine the bias-voltage ($V$) dependence of the decoherence, using Keldysh Green function method and perturbation with respect to the e-ph interaction. With optical phonons of energy ${\omega }_0$, only the elastic process takes place when $eV<{\omega }_0$, in which electrons emit and absorb phonons virtually. The process suppresses the resonant amplitude. When $eV>{\omega }_0$, the inelastic process is possible which is accompanied by real emission of phonons. It results in the dephasing and broadens the resonant width. The bias-voltage dependence of the decoherence cannot be obtained by the canonical transformation method to consider the e-ph interaction if its effect on the tunnel coupling is neglected. With acoustic phonons, the asymmetric shape of the Fano resonance grows like a symmetric one as the bias voltage increases, in qualitative accordance with experimental results.

arXiv comment28 pages, 11 figures

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Cited by in corpus (17)

• Control of electron transport through Fano resonances in molecular wires
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• The probe technique far-from-equilibrium: Magnetic field symmetries of nonlinear transport
• Generalized transfer matrix theory on electronic transport through graphene waveguide
• Full-counting statistics of energy transport of molecular junctions in the polaronic regime
• Transport through molecular junctions with a nonequilibrium phonon population
• Fano effect in a Josephson junction with a quantum dot
• Suppressed conductance in a metallic graphene nano-junction
• Flux-dependent occupations and occupation difference in geometrically symmetric and energy degenerate double-dot Aharonov-Bohm interferometers
• Quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator
• Transport through a multiply connected interacting meso-system using the Keldysh formalism
• Thermal rectification in a double quantum dots system with polaron effect
• Phonon Spectroscopy by Electric Measurements of Coupled Quantum Dots
• Short time dynamics of molecular junctions after projective measurement
• Josephson current transport through a Quantum Dot in an Aharonov-Bohm Ring
• Interaction effects in Aharonov-Bohm-Kondo Rings
• Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction