Scaling analysis of the Kondo effect in quantum dots with an even number of electrons

Mikio Eto, Yu V. Nazarov

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The Kondo effect is investigated theoretically when spin singlet and triplet states are involved. This Kondo effect is realized in quantum dots with an even number of electrons, where the energy difference between the spin states, Δ, can be controlled experimentally using a magnetic field. Based on the scaling analysis for general situations, we show that the Kondo effect is significantly enhanced when the spin states are nearly degenerate (Δ ≈ 0). An analytical expression is given for a lower limit of the Kondo temperature as a function of Δ.

Original languageEnglish
Pages (from-to)1527-1530
Number of pages4
JournalJournal of Physics and Chemistry of Solids
Volume63
Issue number6-8
DOIs
Publication statusPublished - 2002 Jun

Fingerprint

Kondo effect
Semiconductor quantum dots
quantum dots
scaling
Electrons
electrons
atomic energy levels
Magnetic fields
magnetic fields
Temperature
temperature
energy

Keywords

  • A. Nanostructures
  • D. Electronic structure
  • D. Transport properties

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Scaling analysis of the Kondo effect in quantum dots with an even number of electrons. / Eto, Mikio; Nazarov, Yu V.

In: Journal of Physics and Chemistry of Solids, Vol. 63, No. 6-8, 06.2002, p. 1527-1530.

Research output: Contribution to journalArticle

@article{ef9f27345e2e49688f3668415f5a7822,
title = "Scaling analysis of the Kondo effect in quantum dots with an even number of electrons",
abstract = "The Kondo effect is investigated theoretically when spin singlet and triplet states are involved. This Kondo effect is realized in quantum dots with an even number of electrons, where the energy difference between the spin states, Δ, can be controlled experimentally using a magnetic field. Based on the scaling analysis for general situations, we show that the Kondo effect is significantly enhanced when the spin states are nearly degenerate (Δ ≈ 0). An analytical expression is given for a lower limit of the Kondo temperature as a function of Δ.",
keywords = "A. Nanostructures, D. Electronic structure, D. Transport properties",
author = "Mikio Eto and Nazarov, {Yu V.}",
year = "2002",
month = "6",
doi = "10.1016/S0022-3697(02)00124-5",
language = "English",
volume = "63",
pages = "1527--1530",
journal = "Journal of Physics and Chemistry of Solids",
issn = "0022-3697",
publisher = "Elsevier Limited",
number = "6-8",

}

TY - JOUR

T1 - Scaling analysis of the Kondo effect in quantum dots with an even number of electrons

AU - Eto, Mikio

AU - Nazarov, Yu V.

PY - 2002/6

Y1 - 2002/6

N2 - The Kondo effect is investigated theoretically when spin singlet and triplet states are involved. This Kondo effect is realized in quantum dots with an even number of electrons, where the energy difference between the spin states, Δ, can be controlled experimentally using a magnetic field. Based on the scaling analysis for general situations, we show that the Kondo effect is significantly enhanced when the spin states are nearly degenerate (Δ ≈ 0). An analytical expression is given for a lower limit of the Kondo temperature as a function of Δ.

AB - The Kondo effect is investigated theoretically when spin singlet and triplet states are involved. This Kondo effect is realized in quantum dots with an even number of electrons, where the energy difference between the spin states, Δ, can be controlled experimentally using a magnetic field. Based on the scaling analysis for general situations, we show that the Kondo effect is significantly enhanced when the spin states are nearly degenerate (Δ ≈ 0). An analytical expression is given for a lower limit of the Kondo temperature as a function of Δ.

KW - A. Nanostructures

KW - D. Electronic structure

KW - D. Transport properties

UR - http://www.scopus.com/inward/record.url?scp=0036603455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036603455&partnerID=8YFLogxK

U2 - 10.1016/S0022-3697(02)00124-5

DO - 10.1016/S0022-3697(02)00124-5

M3 - Article

AN - SCOPUS:0036603455

VL - 63

SP - 1527

EP - 1530

JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

SN - 0022-3697

IS - 6-8

ER -