# Scaling analysis of Kondo screening cloud in a mesoscopic ring with an embedded quantum dot

@article{Yoshii2011ScalingAO, title={Scaling analysis of Kondo screening cloud in a mesoscopic ring with an embedded quantum dot}, author={Ryosuke Yoshii and Mikio Eto}, journal={Physical Review B}, year={2011}, volume={83}, pages={165310} }

The Kondo effect is theoretically studied in a quantum dot embedded in a mesoscopic ring. The ring is connected to two external leads, which enables the transport measurement. Using the "poor man's" scaling method, we obtain analytical expressions of the Kondo temperature T_K as a function of the Aharonov-Bohm phase \phi by the magnetic flux penetrating the ring. In this Kondo problem, there are two characteristic lengths. One is the screening length of the charge fluctuation, L_c=\hbar v_F… Expand

#### 10 Citations

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The Kondo effect in a quantum dot embedded in an Aharonov-Bohm ring is theoretically studied, using the "poor man's" scaling method, and diferent expressions of the Kondo temperature TK are given as a function of magnetic flux Φ penetrating the ring. Expand

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#### References

SHOWING 1-10 OF 41 REFERENCES

Scaling Analysis for Kondo Effect in Quantum Dot Embedded in Aharonov-Bohm Ring(Condensed matter: electronic structure and electrical, magnetic, and optical properties)

- Physics
- 2008

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… Expand

Influence of interference on the Kondo effect in a quantum dot

- Physics
- 2010

We study the Kondo effect in a model system of a quantum dot embedded in an Aharanov-Bohm ring connected to two leads. By transforming to the scattering basis of the direct interlead tunneling, we… Expand

Tunable Fano‐Kondo effect in a quantum dot with an Aharonov‐Bohmring

- Chemistry
- 2006

We report experimental results and a theoretical model of the Fano-Kondo effect in a quantum dot embedded in an Aharonov-Bohm (AB) ring. A clear Fano-Kondo lineshape is observed in the coherent… Expand

Friedel oscillations and the Kondo screening cloud

- Physics
- 2008

We show that the long distance charge density oscillations in a metal induced by a weakly coupled spin-1/2 magnetic impurity exhibiting the Kondo effect are given, at zero temperature, by a universal… Expand

Scaling theory of the Kondo screening cloud.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1996

Weak and strong coupling perturbation theory combined with large scale density matrix renormalization group (DMRG) results are used to study the validity of the finite size version of the scaling form at $T=0 and extract a length scale proportional to the Kondo length scale, $\xi_K$. Expand

Detecting the Kondo screening cloud around a quantum dot.

- Physics, Medicine
- Physical review letters
- 2001

It is pointed out that persistent current measurements in a closed ring provide a conceptually simple way of detecting this fundamental length scale of the Kondo effect. Expand

Kondo screening cloud in the single-impurity Anderson model: A density matrix renormalization group study

- Physics
- 2009

A magnetic moment in a metal or in a quantum dot is, at low temperatures, screened by the conduction electrons through the mechanism of the Kondo effect. This gives rise to spin-spin correlations… Expand

Enhancement of Kondo Effect in Multilevel Quantum Dots

- Physics
- 2004

We theoretically study enhancement mechanisms of the Kondo effect in multilevel quantum dots. In quantum dots fabricated on semiconductors, the energy difference between discrete levels Δ is tunable… Expand

Interaction-induced spin rotation and the Kondo effect in quantum dots coupled to ferromagnetic leads

- Physics
- 2003

We study the Kondo effect in a quantum dot coupled to ferromagnetic leads and analyze its properties as a function of the spin polarization of the leads. Based on a scaling approach, we predict that… Expand

Flux-dependent Kondo temperature in an Aharonov-Bohm interferometer with an in-line quantum dot

- Physics
- 2005

An Aharonov-Bohm interferometer (ABI) carrying a quantum dot on one of its arms is analyzed. It is found that the Kondo temperature of the device may depend strongly on the magnetic flux penetrating… Expand