### Abstract

We address a recent theoretical discrepancy concerning the Kondo effect in quantum dots with an even number of electrons where spin-singlet and -triplet states are nearly degenerate. We show that the discrepancy arises from the fact that the Kondo scaling involves many parameters, which makes the results depend on concrete microscopic models. We illustrate this by the scaling calculations of the Kondo temperature T_{K} as a function of the energy difference between the singlet and triplet states Δ. T_{K}(Δ) decreases with increasing A, showing a crossover from a power law with a universal exponent to that with a nonuniversal exponent. The crossover depends on the initial parameters of the model.

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

Article number | 153319 |

Pages (from-to) | 1533191-1533194 |

Number of pages | 4 |

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

Volume | 66 |

Issue number | 15 |

Publication status | Published - 2002 Oct 15 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

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

*66*(15), 1533191-1533194. [153319].

**Multiparameter scaling of the Kondo effect in quantum dots with an even number of electrons.** / Eto, Mikio; Nazarov, Yuli V.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 66, no. 15, 153319, pp. 1533191-1533194.

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TY - JOUR

T1 - Multiparameter scaling of the Kondo effect in quantum dots with an even number of electrons

AU - Eto, Mikio

AU - Nazarov, Yuli V.

PY - 2002/10/15

Y1 - 2002/10/15

N2 - We address a recent theoretical discrepancy concerning the Kondo effect in quantum dots with an even number of electrons where spin-singlet and -triplet states are nearly degenerate. We show that the discrepancy arises from the fact that the Kondo scaling involves many parameters, which makes the results depend on concrete microscopic models. We illustrate this by the scaling calculations of the Kondo temperature TK as a function of the energy difference between the singlet and triplet states Δ. TK(Δ) decreases with increasing A, showing a crossover from a power law with a universal exponent to that with a nonuniversal exponent. The crossover depends on the initial parameters of the model.

AB - We address a recent theoretical discrepancy concerning the Kondo effect in quantum dots with an even number of electrons where spin-singlet and -triplet states are nearly degenerate. We show that the discrepancy arises from the fact that the Kondo scaling involves many parameters, which makes the results depend on concrete microscopic models. We illustrate this by the scaling calculations of the Kondo temperature TK as a function of the energy difference between the singlet and triplet states Δ. TK(Δ) decreases with increasing A, showing a crossover from a power law with a universal exponent to that with a nonuniversal exponent. The crossover depends on the initial parameters of the model.

UR - http://www.scopus.com/inward/record.url?scp=0012952493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012952493&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0012952493

VL - 66

SP - 1533191

EP - 1533194

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 15

M1 - 153319

ER -