Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs

Abstract

A theory is developed for the emission noise at frequency $\nu$ in a quantum dot in the presence of Coulomb interactions and asymmetric couplings to the reservoirs. We give an analytical expression for the noise in terms of the various transmission amplitudes. Including inelastic scattering contribution, it can be seen as the analog of the Meir-Wingreen formula for the current. A physical interpretation is given on the basis of the transmission of one electron-hole pair to the concerned reservoir where it emits an energy after recombination. We then treat the interactions by solving the self-consistent equations of motion for the Green functions. The results for the noise derivative versus $eV$ show a zero value until $eV=h\nu$, followed by a Kondo peak in the Kondo regime, in good agreement with recent measurements in carbon nanotube quantum dots.

6 pages + SM, 4 figures

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Cited by in corpus (19)

• Engineering the Floquet spectrum of superconducting multiterminal quantum dots
• Enhancing of nonlinear thermoelectric response of a correlated quantum dot in the Kondo regime by asymmetrically coupling to the leads
• Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs
• Multi-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime
• Electronic heat current fluctuations in a quantum dot
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Level anticrossing effect in single-level or multilevel double quantum dots: Electrical conductance, zero-frequency charge susceptibility and Seebeck coefficient
• Finite frequency current noise in the Holstein model
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Finite-frequency noise of interacting single-electron emitters: spectroscopy with higher noise harmonics
• Statistical correlations of currents flowing via proximized quantum dot
• Mechanism of current noise spectrum in a nonequilibirum Kondo dot system
• Signatures of Kondo-Majorana interplay in ac response
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Charge susceptibility and conductances of a double quantum dot
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots
• Finite-frequency noise in non-Markovian systems: A Markovian embedding approach
• Non-symmetrized quantum noise in a Kondo quantum dot