We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. Another application is concerned with the constant voltage case, where we generalize the original result of Levitov-Lesovik to include effects of energy dependent scattering and finite measurement time, including short time measurements, where we find a non-binomial result. We apply our results to describe the generic statistical properties of a two-fermion scattering event and find, among other features, sub-binomial statistics for non-entangled incoming states (Slater rank 1), while entangled states (Slater rank 2) may generate super-binomial (and even super-poissonian) noise, a feature that can be used as a spin singlet-triplet detector. We derive various expressions for the characteristic function generating the full counting statistics, accounting for both energy and time dependence in the scattering process and including exchange effects due to finite overlapping of the incoming wave packets. ABSTRACT We make use of the first-quantized wave-packet formulation of the full counting statistics to describe charge transport in a mesoscopic device.
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