Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Transport: Fluctuation and Noise
(Joint session of DY and TT organized by TT)

DY 19.3: Vortrag

Dienstag, 8. März 2016, 14:30–14:45, H23

Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium — •Philipp Stegmann¹, Björn Sothmann², Alfred Hucht¹, and Jürgen König¹ — ¹Theoretische Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg, Germany — ²Départment de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland

We introduce time-dependent, generalized factorial cumulants C_s^m(t) of the full counting statistics of electron transfer as a tool to detect interactions in nanostructures [1]. The violation of the sign criterion (−1)^m−1 C_s^m(t)≥0 for any time t, order m, and parameter s proves the presence of interactions. For given system parameters, there is a minimal time span t_min and a minimal order m to observe the violation of the sign criterion. We demonstrate that generalized factorial cumulants are more sensitive to interactions than ordinary ones [2,3] and can detect interactions even in regimes where ordinary factorial cumulants fail. We illustrate our findings with the example of a quantum dot tunnel coupled to electronic reservoirs either in or out of equilibrium.
[1] P. Stegmann, B. Sothmann, A. Hucht, and J. König,

PRB 92, 155413 (2015)
[2] D. Kambly, C. Flindt, and M. Büttiker, PRB 83, 075432 (2011)
[3] D. Kambly and C. Flindt, J. Comput. Electron. 12, 331 (2013)