Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 76: Poster Session: Transport 2

TT 76.27: Poster

Donnerstag, 23. März 2017, 15:00–19:00, P2-OG1

Full counting statistics analyzed by generalized factorial cumulants — •Philipp Stegmann, Stephan Weiss, and Jürgen König — Theoretische Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg, Germany

We discuss the advantages of generalized factorial cumulants C_s,m [1] yielding informations that are not accessible via ordinary cumulants commonly used in literature. Generalized factorial cumulants indicate the presence of correlations between transferred electrons [1,2]. Especially for short measuring-time intervals, higher-order tunneling events can be identified [2]. Moreover, generalized factorial cumulants can be utilized to obtain a lower bound of the system dimension and the full spectrum of relaxation rates. The generalized factorial cumulants give access to additional dimensions and relaxation rates hidden for ordinary cumulants [3]. Furthermore, coherent oscillations can be detected, although the oscillations do not influence commonly studied quantities as the charge current, zero- and finite-frequency noise, ordinary cumulants, and waiting times. We illustrate our findings for several Coulomb-blockade systems.
[1] P. Stegmann, B. Sothmann, A. Hucht, and J. König,
[1] PRB 92, 155413 (2015).
[2] P. Stegmann and J. König, PRB 94, 125433 (2016).
[3] P. Stegmann and J. König, arXiv:1611.02043.