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 language | English |
|---|---|
| Article number | 123714 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 77 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2008 Dec |
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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 journal › Article
}
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 -