Fermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot

Details Fermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot Fermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot

2006-12-07

arxiv.org/abs/cond-mat/0612199v1

Physical Review B, 75, 165316 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 5 figures, RevTex 4.0

Scientific paper

10.1103/PhysRevB.75.165316

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The quantum dot is assumed weakly coupled to a ring of non-interacting electrons and thus appropriately described as a Kondo impurity. The theory is valid at weak Kondo couplings in the regime where the system size, L, is much larger than the size of the Kondo screening cloud, xi_K. The predictions of the Fermi Liquid theory are compared to exact diagonalization results for the persistent current that lend support to the existence of a regime correctly described by this theory. The finite temperature conductance, at T << T_K is also calculated using Fermi liquid theory allowing the definition of a ``Wilson ratio" relating the conductance and the persistent current.

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