# On the competition between the Kondo effect and the exchange interaction in a parallel double quantum dot system

## TL;DR

This paper investigates how the Kondo effect and exchange interactions compete in a double quantum dot system, revealing the crossover from Kondo to spin-singlet states through a self-consistent perturbation approach.

## Contribution

It introduces a self-consistent perturbation method incorporating scalar potential fields to analyze the crossover in double quantum dots.

## Key findings

- Describes the crossover from Kondo to spin-singlet states.
- Provides calculations of linear conductance and spin excitation spectra.
- Validates the approach with effective field theory.

## Abstract

We study the competition between the Kondo effect and the exchange interaction in the parallel double quantum dot(DQDs) system within an effective action field theory. The strong on-site Coulomb interactions in DQDs are treated by using the Hubbard-Stratonovich transformation and the introduction of scalar potential fields. We show that a self-consistent perturbation approach, which takes into account the statistical properties of the potential fields acting on the electrons in DQDs, describes well the crossover from the Kondo regime to the spin-singlet state in this system. The linear conductance and the intradot/interdot spin excitation spectra of this system are obtain