Dephasing effects and shot noise in quantum Hall wires: Green's function formalism

We study the effects of many-body dephasing processes on the electron conductance and current fluctuations of quantum wires, with particular attention to Hall bars. The theoretical study is based on the nonequilibrium Green's function formalism and the self-consistent Born approximation for the dephasing self-energy operators. The numerical study of the retarded and lesser Green's functions of the interacting system is carried out by means of continued fractions and iterative techniques, within a tight-binding description of the electronic device. The crossover from the noise regime to the noiseless regime with its striking universal features emerges with great evidence from the calculated behavior of conductance and shot noise in the studied quantum wires.