project title: Statistics of Electron Transport in Mesoscopic Devices
project leader: Prof. Edouard Sonin
access given (in days): 92
access used (in days): 101
local host: Prof. Pertti Hakonen
home institution: Racah Institute of Physics, Hebrew University of Jerusalem
country of institution: Israel
starting date (yyyy-mm-dd): 2006-01-01
Professor Edouard Sonin is from Hebrew University, Jerusalem, Israel. The goals of his project are: 1. To study various cases of mesoscopic transport in which counting statistics is not Poissonian. Two particular cases that will be considered are a single junction with current bias and two junctions in series. These studies will pave the way for experiments to probe current statistics using on-chip junction probe detectors. 2. To study not only full counting statistics but also full statistics of voltage and phase fluctuation. This is important since the experimentalists have no direct access to counting statistics measuring voltage or phase fluctuations instead of it. 3. To extend the analysis of full statistics, which up to now has been done only in the low-frequency limit, to high frequencies (short times). This will be instrumental in order to analyze practical junction noise detectors in the regime of non-Poissonian noise. 4. To study counting statistics in carbon nanotubes. In addition to counting statistics, cross correlations of current fluctuations will investigated in the light of pinpointing the nature of basic charge carriers in single and multiwalled carbon nanotubes.
The publication "Statistics of electron tunneling in normal tunnel junctions: An analytical and numerical study including circuit effects" by P. J. Hakonen, A. Paila, and E. B. Sonin was finalized and it appeared in Phys. Rev. B 74, 195322 (2006)[24]. This theoretical analysis demonstrated that the classical master equation is a powerful tool in noise analysis in general. Further investigations of full statistics in other mesoscopic setups were discussed during the ULTI users meeting in Lammi. It was realized that it is a major challenge to extend the theoretical analysis of noise to strongly correlated systems, like single and multiwalled carbon nanotubes. In addition, the influence of shot noise on the superconductor-insulator transition was discussed and new experiments to investigate these phenomena were planned.