Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 3: TR: Fluctuations and Noise

TT 3.3: Talk

Monday, March 22, 2010, 10:45–11:00, H20

Calculating Shot Noise based on Numerical Time Evolution of Transport States — •Alexander Branschädel¹ and Peter Schmitteckert² — ¹Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, Karlsruhe, Deutschland — ²Institut für Nanotechnologie, Karlsruher Institut für Technologie, Karlsruhe, Deutschland

A method to calculate shot noise in one-dimensional systems based on the time evolution of transport states using numerical simulation techniques is presented. We consider the single resonant level model, consisting of a single impurity attached to non-interacting leads, with spinless fermions, where we include nearest neighbour interaction between the impurity site and the leads. The time evolution is obtained either using exact diagonalisation for the non-interacting case or by means of time-dependent Density Matrix Renormalisation Group (td-DMRG) algorithms. We present results for the shot noise for finite bias voltage in the low frequency limit as well as the full frequency dependency and compare with analytical calculations.