Abstrakt
In this article I discuss the recent developments in the theory of Full Counting Statistics (FCS) when applied to interacting nanosystems. I start with a brief introduction of the FCS concept and its application to the nanoscopic electronic transport in the quasi-classical regime.
After that, I describe two pathways from the respective limiting cases towards the more correlated regimes of interacting quantum transport. The first path starts from simple master equations and incorporates the increasingly important quantum-coherent effects due to tunneling via the introduction of memory into the Generalized Master Equation (GME) framework.
The memory effects detectable via the FCS reflect the quantum-mechanical nature of the dynamics of the system as I show on the example of noise in quantum dots in the Fermi-edge-singularity regime. The second approach perturbatively incorporates many-body interactions into the initially noninteracting fully coherent limiting case via a generalization of the non-equilibrium Green's function (NEGF) formalism.
This method is demonstrated on the example of the inelastic contribution to the noise in atomic wires.