### 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 (formula presented) as a function of the energy difference between the singlet and triplet states (formula presented) (formula presented) decreases with increasing (formula presented) 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 |
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Pages (from-to) | 1-4 |

Number of pages | 4 |

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

Volume | 66 |

Issue number | 15 |

DOIs | |

Publication status | Published - 2002 Jan 1 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

**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, pp. 1-4. https://doi.org/10.1103/PhysRevB.66.153319

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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 - 2002/1/1

Y1 - 2002/1/1

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 (formula presented) as a function of the energy difference between the singlet and triplet states (formula presented) (formula presented) decreases with increasing (formula presented) 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 (formula presented) as a function of the energy difference between the singlet and triplet states (formula presented) (formula presented) decreases with increasing (formula presented) 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.

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U2 - 10.1103/PhysRevB.66.153319

DO - 10.1103/PhysRevB.66.153319

M3 - Article

VL - 66

SP - 1

EP - 4

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 15

ER -