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

Mikio Eto, Yuli V. Nazarov

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 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.

Original languageEnglish
Article number153319
Pages (from-to)1533191-1533194
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number15
Publication statusPublished - 2002 Oct 15

Fingerprint

Kondo effect
atomic energy levels
Semiconductor quantum dots
crossovers
quantum dots
exponents
scaling
Electrons
electron spin
electrons
Temperature
temperature
energy

ASJC Scopus subject areas

  • 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.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 66, No. 15, 153319, 15.10.2002, p. 1533191-1533194.

Research output: Contribution to journalArticle

@article{9f6104b7dbb140958cd9ac1fb8e4b041,
title = "Multiparameter scaling of the Kondo effect in quantum dots with an even number of electrons",
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 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.",
author = "Mikio Eto and Nazarov, {Yuli V.}",
year = "2002",
month = "10",
day = "15",
language = "English",
volume = "66",
pages = "1533191--1533194",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "15",

}

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 -