2008/01/27 by Rodrigo G. Pereira, Nicolas Laflorencie, Ian Affleck +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.77.125327
published as Phys. Rev. B 77, 125327 (2008) · This is an extended version of cond-mat/0612635 with an analysis of bulk Luttinger liquid interactions added as well as a discussion of experimental possibilities
arxiv created 2008/01/27 · openalex publication_date 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose that the finite size of the Kondo screening cloud, \ensuremathξK, can be probed by measuring the charge quantization in a one-dimensional system coupled to a small quantum dot. When the chemical potential \ensuremathμ in the system is varied at zero temperature, one should observe charge steps whose locations are at values of \ensuremathμ that are controlled by the Kondo effect when the system size L is comparable to \ensuremathξK. 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 \ensuremathξK∕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.