Regensburg 2002 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 23: Mesoskopische Systeme II

TT 23.2: Hauptvortrag

Freitag, 15. März 2002, 10:45–11:15, H18

Full Counting Statistics in Mesoscopic Transport — •Wolfgang Belzig — Departement für Physik, Universität Basel, Schweiz

The complete information about a charge transfer process is contained in the so called full counting statistics. We present a general theoretical approach [1,2,3], which allows to calculate the probability P_t(N) that N charges have passed a conductor in a time interval t. This amounts to a simultaneous calculations of all current correlators (conductance, noise, and all higher correlators). In certain cases the problem of obtaining the full counting statistics is intimately related to a quantum measurement problem [2]. As concrete examples we discuss the statistics of several multi terminal structures with normal and superconducting terminals [3]. Agreement with experimental results for the shot noise is demonstrated.

[1] Yu. V. Nazarov, Ann. Phys. (Leipzig) 8, SI-193 (1999).

[2] W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 197006 (2001).

[3] W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 067006 (2001).