Waiting times distribution of electrons flowing across mesoscopic conductors

Mathias Albert

Tuesday, 06 November 2012, 14:15
Matfys library

Electronic transport through mesoscopic devices is known to be stochastic due to the quantum nature of the charge carriers. The noise power spectrum as well as the Full Counting Statistics (FCS) provide many important informations about the system under study as it has been shown during the past 20 years. However the distribution of waiting times (WTD) between the detection of several charge carriers has been recently investigated and shown to be very powerful to understand the short time physics and correlations between different elementary events [1-3] in the same spirit than the level spacing distribution in the spectral statistics of complex systems. In this talk we will use this quantity to discuss the short time correlations in a perfect one dimensional quantum channel with a quantum point contact. Although the system is extremely simple, the WTD reveals quite striking transport properties that can be explained using random matrix theory in a totally unexpected context. Some other quantum states, such as a train of Lorentzian pulses [4] will be also considered and the relation between the WTD and the FCS also discussed.

[1] T. Brandes, Ann. Phys. (Berlin) 17, 477 (2008).
[2] M. Albert, C. Flindt and M. Buttiker, Phys. Rev. Lett. 107, 086805 (2011).
[3] M. Albert, G. Haack, C. Flindt and M. Buttiker, Phys. Rev. Lett. 108, 186806 (2012).
[4] J. Keeling, I. Klich, L. S. Levitov, Phys. Rev. Lett. 97, 116403 (2006).