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

TL;DR

This paper develops a theoretical framework for emission noise in interacting quantum dots with asymmetric reservoir couplings, highlighting inelastic scattering effects and Kondo phenomena, aligning well with experimental observations.

Contribution

It introduces an analytical expression for emission noise incorporating inelastic scattering and Coulomb interactions, extending the Meir-Wingreen formula to frequency-dependent noise analysis.

Findings

Emission noise remains zero until eV = hν.

A Kondo peak appears in the noise derivative in the Kondo regime.

Results agree with recent experimental measurements in carbon nanotube quantum dots.

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.