Circuit Theory for Full Counting Statistics in Multiterminal Circuits

Circuit theory for full counting statistics in multiterminal circuits.

We propose a theory that treats the current, noise, and, generally, the full current statistics of electron transfer in a mesoscopic system in a unified, simple, and efficient way. The theory appears to be a circuit theory of 2 x 2 matrices associated with Keldysh Green functions. We illustrate the theory by considering the big fluctuations of currents in various three-terminal circuits.

Full Counting Statistics in Electric Circuits

Full Counting Statistics and Field Theory

The concept of Full Counting Statistics has been introduced in very early days of quantum transport. That time, nobody ever thought of such an abstract and complicated problem as the evaluating and measuring the higher cumulants of electronic noise. The research has been driven by pure curiosity and has resulted in compact and deep Levitov formula.[1] The significance of this contribution has b...

Non-Markovian dynamics in the theory of full counting statistics

We consider the theoretical description of real-time counting of electrons tunneling through a Coulomb-blockade quantum dot using a detector with finite bandwidth. By tracing out the quantum dot we find that the dynamics of the detector effectively is non-Markovian. We calculate the cumulant generating function corresponding to the resulting non-Markovian rate equation and find that the measure...

Full Counting Statistics in Quantum Contacts

Full counting statistics is a fundamentally new concept in quantum transport. After a review of basic statistics theory, we introduce the powerful Green’s function approach to full counting statistics. To illustrate the concept we consider a number of examples. For generic two-terminal contacts we show how counting statistics elucidates the common (and different) features of transport between n...