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

Figures from this paper

Analytical expression of Kondo temperature in quantum dot embedded in Aharonov-Bohm ring
TLDR
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
Fano-Kondo resonance versus Kondo plateau in an Aharonov-Bohm ring with an embedded quantum dot
We theoretically examine the transport through an Aharonov-Bohm ring with an embedded quantum dot (QD), the so-called QD interferometer, to address two controversial issues regarding the shape of theExpand
Scaling analysis for Aharonov-Bohm ring with an embedded quantum dot connected with ferromagnetic leads
In this study, we consider the Kondo temperature and differential conductance for an Aharonov-Bohm ring with an embedded quantum dot connected with noncollinear ferromagnetic leads. Starting from theExpand
Decoherence induced by inelastic scattering in Aharonov-Bohm ring with embedded quantum dot
We theoretically investigate the Kondo effect in a quantum dot embedded in an Aharonov-Bohm (AB) ring. We obtain an analytical expression for the Kondo temperature TK as a function of the AB phase oExpand
Interaction effects in Aharonov-Bohm–Kondo rings
We study the conductance through an Aharonov-Bohm ring, containing a quantum dot in the Kondo regime in one arm, at finite temperature and arbitrary electronic density. We develop a general methodExpand
Natural orbitals renormalization group approach to a Kondo singlet
A magnetic impurity embedded in a Fermi sea is collectively screened by a cloud of conduction electrons to form a Kondo singlet below a characteristic energy scale T K , the Kondo temperature,Expand
How to directly measure a Kondo cloud's length.
TLDR
It is shown that theKondo cloud, and hence the Kondo temperature and the electron conductance through the impurity, are affected by the gate voltage, as L decreases below the Konna cloud length. Expand
Electronic and optical properties of a nanoring in the presence of external magnetic field
Abstract Optical properties of a nanoring with Winternitz–Smorodinsky confinement potential in the presence of an external magnetic field have been studied theoretically. Our results demonstrate thatExpand
NANO EXPRESS Open Access
The temporal evolution of ripple pattern on Ge, Si, Al2O3, and SiO2 by low-energy ion beam erosion with Xe + ions is studied. The experiments focus on the ripple dynamics in a fluence range from 1.1Expand

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)
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 equivalentExpand
Influence of interference on the Kondo effect in a quantum dot
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, weExpand
Tunable Fano‐Kondo effect in a quantum dot with an Aharonov‐Bohmring
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 coherentExpand
Friedel oscillations and the Kondo screening cloud
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 universalExpand
Scaling theory of the Kondo screening cloud.
TLDR
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.
TLDR
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
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 correlationsExpand
Enhancement of Kondo Effect in Multilevel Quantum Dots
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 tunableExpand
Interaction-induced spin rotation and the Kondo effect in quantum dots coupled to ferromagnetic leads
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 thatExpand
Flux-dependent Kondo temperature in an Aharonov-Bohm interferometer with an in-line quantum dot
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 penetratingExpand
...
1
2
3
4
5
...