“…Our results disagree with those of several other groups [16][17][18][19] . There are many effects left out of this simple model which are probably important to a complete understanding of potential experiments in this field.…”
Section: Observing the Screening Cloud In A Persistent Current Experi...contrasting
Renormalization group theory of the Kondo effect predicts that an impurity spin is screened by a conduction electron spread over a large distance of order .1 to 1 micron. This review has the following sections: 1. The Kondo effect and the screening cloud 2. Non-observation of the Kondo cloud in conventional experiments 3. Kondo effect in transmission through a quantum dot 4. Observing the screening cloud in persistent current experiments 5. Side-coupled quantum dot 6. Conclusions
“…Our results disagree with those of several other groups [16][17][18][19] . There are many effects left out of this simple model which are probably important to a complete understanding of potential experiments in this field.…”
Section: Observing the Screening Cloud In A Persistent Current Experi...contrasting
Renormalization group theory of the Kondo effect predicts that an impurity spin is screened by a conduction electron spread over a large distance of order .1 to 1 micron. This review has the following sections: 1. The Kondo effect and the screening cloud 2. Non-observation of the Kondo cloud in conventional experiments 3. Kondo effect in transmission through a quantum dot 4. Observing the screening cloud in persistent current experiments 5. Side-coupled quantum dot 6. Conclusions
“…Although the above finite-size correction is apparently similar to that for 1D solvable systems with a static impurity or boundaries, [20][21][22][23][24][25][26] the final-state interaction induced by photoemission is included in the present case. 27 Thus all the features which are governed by the dynamical Kondo effect can be read from this quantity.…”
We study how the multi-channel Kondo effect is dynamically induced to affect the photoemission and the inverse photoemission spectrum when an electron is emitted from (or added to) the completely screened Kondo impurity with spin S > 1/2. The spectrum thereby shows a power-law edge singularity characteristic of the multi-channel Kondo model. We discuss this anomalous behavior by using the exact solution of the multi-channel Kondo model and boundary conformal field theory. The idea is further applied to the photoemission for quantum spin systems, in which the edge singularity is controlled by the dynamically induced overscreening effect with a mobile Kondo impurity.
“…17, 18, 19, 20. Other theoretical studies include Refs. 13,14,15,16. The behavior of the persistent current, j in quantum dot systems is therefore the subject of considerable controversy.…”
Measurements of the persistent current in a ring containing a quantum dot would afford a unique opportunity to finally detect the elusive Kondo screening cloud. We present the first large-scale numerical results on this controversial subject using exact diagonalization and density matrix renormalization group (RG). These extremely challenging numerical calculations confirm RG arguments for weak to strong coupling crossover with varying ring length and give results on the universal scaling functions. We also study, analytically and numerically, the important and surprising effects of particle-hole symmetry breaking.
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