### Abstract

We investigate the enhancement of the Kondo effect in quantum dots with an even number of electrons, using a scaling method and a mean field theory. We evaluate the Kondo temperature T_{K} as a function of the energy difference between spin-singlet and -triplet states in the dot, Δ, and the Zeeman splitting, E_{z}. If the Zeeman splitting is small, E_{z}≪T_{K}, the competition between the singlet and triplet states enhances the Kondo effect. T_{K} reaches its maximum around Δ = 0 and decreases with Δ obeying a power law. If the Zeeman splitting is strong, E_{z}≫T_{K}, the Kondo effect originates from the degeneracy between the singlet state and one of the components of the triplet state at - Δ ∼ E_{z}. We show that T_{K} exhibits another power-law dependence on E_{z}. The mean field theory provides a unified picture to illustrate the crossover between these regimes. The enhancement of the Kondo effect can be understood in terms of the overlap between the Kondo resonant states created around the Fermi level. These resonant states provide the unitary limit of the conductance G∼2e^{2}/h.

Original language | English |
---|---|

Article number | 085322 |

Pages (from-to) | 853221-8532211 |

Number of pages | 7678991 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 64 |

Issue number | 8 |

Publication status | Published - 2001 Aug 15 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*64*(8), 853221-8532211. [085322].

**Mean-field theory of the Kondo effect in quantum dots with an even number of electrons.** / Eto, Mikio; Nazarov, Y. V.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 64, no. 8, 085322, pp. 853221-8532211.

}

TY - JOUR

T1 - Mean-field theory of the Kondo effect in quantum dots with an even number of electrons

AU - Eto, Mikio

AU - Nazarov, Y. V.

PY - 2001/8/15

Y1 - 2001/8/15

N2 - We investigate the enhancement of the Kondo effect in quantum dots with an even number of electrons, using a scaling method and a mean field theory. We evaluate the Kondo temperature TK as a function of the energy difference between spin-singlet and -triplet states in the dot, Δ, and the Zeeman splitting, Ez. If the Zeeman splitting is small, Ez≪TK, the competition between the singlet and triplet states enhances the Kondo effect. TK reaches its maximum around Δ = 0 and decreases with Δ obeying a power law. If the Zeeman splitting is strong, Ez≫TK, the Kondo effect originates from the degeneracy between the singlet state and one of the components of the triplet state at - Δ ∼ Ez. We show that TK exhibits another power-law dependence on Ez. The mean field theory provides a unified picture to illustrate the crossover between these regimes. The enhancement of the Kondo effect can be understood in terms of the overlap between the Kondo resonant states created around the Fermi level. These resonant states provide the unitary limit of the conductance G∼2e2/h.

AB - We investigate the enhancement of the Kondo effect in quantum dots with an even number of electrons, using a scaling method and a mean field theory. We evaluate the Kondo temperature TK as a function of the energy difference between spin-singlet and -triplet states in the dot, Δ, and the Zeeman splitting, Ez. If the Zeeman splitting is small, Ez≪TK, the competition between the singlet and triplet states enhances the Kondo effect. TK reaches its maximum around Δ = 0 and decreases with Δ obeying a power law. If the Zeeman splitting is strong, Ez≫TK, the Kondo effect originates from the degeneracy between the singlet state and one of the components of the triplet state at - Δ ∼ Ez. We show that TK exhibits another power-law dependence on Ez. The mean field theory provides a unified picture to illustrate the crossover between these regimes. The enhancement of the Kondo effect can be understood in terms of the overlap between the Kondo resonant states created around the Fermi level. These resonant states provide the unitary limit of the conductance G∼2e2/h.

UR - http://www.scopus.com/inward/record.url?scp=0035880970&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035880970&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035880970

VL - 64

SP - 853221

EP - 8532211

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 8

M1 - 085322

ER -