Full Counting Statistics of Electron Tunneling through Coherently Coupled Quantum Dots: Exchange Interaction Effect on Shot Noise

TL;DR

This paper analyzes how Coulomb interactions and quantum coherence affect shot noise in electron tunneling through single and coupled quantum dots, revealing conditions for super-Poissonian noise.

Contribution

It provides analytical expressions for shot noise considering Coulomb interactions in both single and coupled quantum dots using full counting statistics.

Findings

Coulomb interaction has negligible effect on shot noise in single quantum dots.

Interdot coherence and Coulomb interaction can induce super-Poissonian noise in coupled quantum dots.

Super-Poissonian noise occurs even in symmetric coupled quantum dots due to interplay of effects.

Abstract

We investigate the zero-frequency shot noise of electronic tunneling through a single quantum dot (SQD) and coherently coupled quantum dots (CQD) taking into account the Coulomb interaction. Within Hartree-Fock approximation, the analytical expressions of current and zero-frequency shot noise are self-consistently derived in the framework of full counting statistics for the both systems. We demonstrate that the correction term of zero-frequency shot noise induced by the intradot Coulomb interaction is almost negligible compared to the noninteracting shot noise in a SQD, while in a CQD the interplay of the interdot coherence fluctuations and strong interdot Coulomb interaction can induce a super-Poissonian noise even in the symmetric case.