Two-stage Kondo effect in side-coupled quantum dots

Renormalized perturbative scaling theory and numerical renormalization group analysis

Chung Hou Chung, G. Zaránd, Peter Wölfle

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We study numerically and analytically the dynamical (ac) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side coupled to the other dot through an antiferromagnetic exchange Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. In this case, the RKKY interaction gives rise to a "two-stage Kondo effect" where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature, low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency-dependent current noise spectrum is also discussed.

Original languageEnglish
Article number035120
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number3
DOIs
Publication statusPublished - Jan 17 2008

Fingerprint

Kondo effect
Semiconductor quantum dots
quantum dots
scaling
noise spectra
crossovers
interactions
Temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

@article{a70298ec196945a2b4903b9afe0c1105,
title = "Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and numerical renormalization group analysis",
abstract = "We study numerically and analytically the dynamical (ac) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side coupled to the other dot through an antiferromagnetic exchange Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. In this case, the RKKY interaction gives rise to a {"}two-stage Kondo effect{"} where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature, low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency-dependent current noise spectrum is also discussed.",
author = "Chung, {Chung Hou} and G. Zar{\'a}nd and Peter W{\"o}lfle",
year = "2008",
month = "1",
day = "17",
doi = "10.1103/PhysRevB.77.035120",
language = "English",
volume = "77",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Two-stage Kondo effect in side-coupled quantum dots

T2 - Renormalized perturbative scaling theory and numerical renormalization group analysis

AU - Chung, Chung Hou

AU - Zaránd, G.

AU - Wölfle, Peter

PY - 2008/1/17

Y1 - 2008/1/17

N2 - We study numerically and analytically the dynamical (ac) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side coupled to the other dot through an antiferromagnetic exchange Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. In this case, the RKKY interaction gives rise to a "two-stage Kondo effect" where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature, low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency-dependent current noise spectrum is also discussed.

AB - We study numerically and analytically the dynamical (ac) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side coupled to the other dot through an antiferromagnetic exchange Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. In this case, the RKKY interaction gives rise to a "two-stage Kondo effect" where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature, low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency-dependent current noise spectrum is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=38349144054&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38349144054&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.77.035120

DO - 10.1103/PhysRevB.77.035120

M3 - Article

VL - 77

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 3

M1 - 035120

ER -