2010/01/14 by M. L. Polianski, Polianski, M. L., Μ. Büttiker +1
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Quantum and electron transport phenomena #Neural Networks and Applications
paper · pdf · doi:10.48550/arxiv.1001.2492
We consider multi-terminal mesoscopic transport through a well-conducting chaotic quantum cavity using random matrix theory. Four-probe resistance vanishes on the average and is not affected by weak localization. Its fluctuations are given by a single expression valid for arbitrary temperature, ac frequency, non-ideal coupling of the contacts, and in the presence of floating probes; surprisingly, they are governed by the dwell time only. In contrast, the two-probe transport additionally depends on the RC-time, which is interpreted as a property of the measurement scheme. We also predict a universal mesoscopic distribution of the phase of transmitted voltage in an ac experiment.