Electron Charge Distribution and Transport in Mesoscopic Systems
We discuss the electronic transport in one-dimensional systems and show how the conductance at zero temperature is related to the electronic charge distribution, using an generalized form of Friedel sum rule. We apply the theory to the transport through a quantum dots. It is predicted that the transmission probability is unity when the dot has a magnetic moment of magnitude 1/2 due to an unpaired electron.
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- 1.J. Friedel, Phil. Mag. 43,153 (1952), Advance in Physics 3, 446 (1954).Google Scholar
- 3.A. Kawabata, Proc. Int. Symp. on Science and Technology of Mesoscopic Structures, Nara, 1991, ( Springer-Verlag, to be published).Google Scholar
- 8.J. Kondo, Solid state physics vol.23., eds. F. Seitz, D. Turnbull, and H. Ehrenreich (Academic, Press, New York, 1969), p. 183.Google Scholar
- 9.Note that ΔN is not the electron number in the dot, but the difference between the total electron numbers with and without the potential υ(x) in the regions where υ(x) ≠ 0.Google Scholar
- 11.L.I. Grazman and M.É. Raikh, JETP Lett. 47, 452 (1988).Google Scholar
- 12.Ph. Nozieres and A. Blandin, J. Physique, 41, 193 (1980).Google Scholar
- 13.In  and  the authors proved eq. (8) for the Anderson model, but, within the knowledge of the present author, it has not yet been proved for more general models.Google Scholar