Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices

Details Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices

2008-01-27

arxiv.org/abs/0801.4166v1

Phys. Rev. B 77, 125327 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

This is an extended version of cond-mat/0612635 with an analysis of bulk Luttinger liquid interactions added as well as a disc

Scientific paper

10.1103/PhysRevB.77.125327

We propose that the finite size of the Kondo screening cloud, xi_K, can be probed by measuring the charge quantization in a one-dimensional system coupled to a small quantum dot. When the chemical potential, mu in the system is varied at zero temperature, one should observe charge steps whose locations are at values of mu that are controlled by the Kondo effect when the system size L is comparable to xi_K. We show that, if the standard Kondo model is used, the ratio between the widths of the Coulomb blockade valleys with odd or even number of electrons is a universal scaling function of xi_K/L. If we take into account electron-electron interactions in a single-channel wire, this ratio also depends on the parameters of the effective Luttinger model; in addition, the scaling is weakly violated by a marginal bulk interaction. For the geometry of a quantum dot embedded in a ring, we show that the dependence of the charge steps on a magnetic flux through the ring is controlled by the size of the Kondo screening cloud.

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