Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 99: Poster Session: Transport

TT 99.26: Poster

Thursday, March 15, 2018, 15:00–19:00, Poster B

Full counting statistics of electron transport through a negative-U Anderson impurity — •Eric Kleinherbers, Philipp Stegmann, and Jürgen König — Theoretische Physik, Universität Duisburg-Essen and CENIDE, Lotharstr. 1, 47048 Duisburg

The process of electron tunneling through nanoscale systems (e.g. a metallic island or a quantum dot) is a stochastic process. Recent progress in nanotechnology has made it possible to monitor the transfer of individual electrons using sensitive electrometers (e.g. a quantum point contact). The resulting detector signal provides the full counting statistics (FCS) of the electron transport. A convenient tool to extract desired information out of the statistics are (generalized) factorial cumulants [1]. The sign of the cumulants reveals whether the transport of the electrons is statistically correlated or not.

Specifically, we focus on a single-level quantum dot with an attractive electron-electron interaction (negative -U Anderson impurity) subjected to a Zeeman field. Such a system has been observed in a recent experiment [2]. With FCS one can clearly differentiate between a repulsive and an attractive electron-electron interaction by analyzing the short-time limit [3] of the electron transport. Those differences are inaccessible by only measuring the net current or the current noise.
P. Stegmann, B. Sothmann, A. Hucht, J. König, Phys. Rev. B 92, 155413 (2015)
Cheng et al., Nature, 521, 196 (2015)
P. Stegmann and J. König, Phys. Rev. B 94, 125433 (2016)