Scaling analysis for Kondo effect in quantum dot embedded in Aharonov-Bohm ring

Ryosuke Yoshii, Mikio Eto

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The Kondo effect is theoretically studied in a quantum dot embedded in an Aharonov-Bohm (AB) ring when the size of the ring is much smaller than the Kondo cloud. First, we construct an equivalent model in which a quantum dot is coupled to a single lead. The AB interference effect is involved in the magnetic-flux dependence of the density of states in the lead. The scaling analysis of this model yields analytical expressions for the Kondo temperature TK and conductance at temperatures T ≫ TK. We show that TK may be significantly modulated by the magnetic flux penetrating the ring. Our method is generally applicable to the investigation of the Kondo effect in mesoscopic complex systems including a quantum dot.

Original languageEnglish
Article number123714
JournalJournal of the Physical Society of Japan
Volume77
Issue number12
DOIs
Publication statusPublished - 2008 Dec

Fingerprint

Kondo effect
quantum dots
scaling
magnetic flux
rings
complex systems
interference
temperature

Keywords

  • Aharonov-Bohm ring
  • Fano effect
  • Kondo effect
  • Quantum dot
  • Scaling method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Scaling analysis for Kondo effect in quantum dot embedded in Aharonov-Bohm ring. / Yoshii, Ryosuke; Eto, Mikio.

In: Journal of the Physical Society of Japan, Vol. 77, No. 12, 123714, 12.2008.

Research output: Contribution to journalArticle

@article{f50b41f9687b4efb9bdd9501c4bb89ed,
title = "Scaling analysis for Kondo effect in quantum dot embedded in Aharonov-Bohm ring",
abstract = "The Kondo effect is theoretically studied in a quantum dot embedded in an Aharonov-Bohm (AB) ring when the size of the ring is much smaller than the Kondo cloud. First, we construct an equivalent model in which a quantum dot is coupled to a single lead. The AB interference effect is involved in the magnetic-flux dependence of the density of states in the lead. The scaling analysis of this model yields analytical expressions for the Kondo temperature TK and conductance at temperatures T ≫ TK. We show that TK may be significantly modulated by the magnetic flux penetrating the ring. Our method is generally applicable to the investigation of the Kondo effect in mesoscopic complex systems including a quantum dot.",
keywords = "Aharonov-Bohm ring, Fano effect, Kondo effect, Quantum dot, Scaling method",
author = "Ryosuke Yoshii and Mikio Eto",
year = "2008",
month = "12",
doi = "10.1143/JPSJ.77.123714",
language = "English",
volume = "77",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "12",

}

TY - JOUR

T1 - Scaling analysis for Kondo effect in quantum dot embedded in Aharonov-Bohm ring

AU - Yoshii, Ryosuke

AU - Eto, Mikio

PY - 2008/12

Y1 - 2008/12

N2 - The Kondo effect is theoretically studied in a quantum dot embedded in an Aharonov-Bohm (AB) ring when the size of the ring is much smaller than the Kondo cloud. First, we construct an equivalent model in which a quantum dot is coupled to a single lead. The AB interference effect is involved in the magnetic-flux dependence of the density of states in the lead. The scaling analysis of this model yields analytical expressions for the Kondo temperature TK and conductance at temperatures T ≫ TK. We show that TK may be significantly modulated by the magnetic flux penetrating the ring. Our method is generally applicable to the investigation of the Kondo effect in mesoscopic complex systems including a quantum dot.

AB - The Kondo effect is theoretically studied in a quantum dot embedded in an Aharonov-Bohm (AB) ring when the size of the ring is much smaller than the Kondo cloud. First, we construct an equivalent model in which a quantum dot is coupled to a single lead. The AB interference effect is involved in the magnetic-flux dependence of the density of states in the lead. The scaling analysis of this model yields analytical expressions for the Kondo temperature TK and conductance at temperatures T ≫ TK. We show that TK may be significantly modulated by the magnetic flux penetrating the ring. Our method is generally applicable to the investigation of the Kondo effect in mesoscopic complex systems including a quantum dot.

KW - Aharonov-Bohm ring

KW - Fano effect

KW - Kondo effect

KW - Quantum dot

KW - Scaling method

UR - http://www.scopus.com/inward/record.url?scp=57549085047&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57549085047&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.77.123714

DO - 10.1143/JPSJ.77.123714

M3 - Article

VL - 77

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

M1 - 123714

ER -