Counting Statistics Of Electron Transport Research Articles

The influence of charge detection on counting statistics

We consider the counting statistics of electron transport through a double quantum dotwith special emphasis on the dephasing induced by a nearby charge detector.The double dot is embedded in a dissipative environment, and the presence ofelectrons on the double dot is detected with a nearby quantum point contact. Chargetransport through the double dot is governed by a non-Markovian generalizedmaster equation. We describe how the cumulants of the current can be obtained forsuch problems, and investigate the difference between the dephasing mechanismsinduced by the quantum point contact and the coupling to the external heatbath. Finally, we consider various open questions of relevance to future research.

Symmetry in full counting statistics, fluctuation theorem, and relations among nonlinear transport coefficients in the presence of a magnetic field

We study the full counting statistics of electron transport through multiterminal interacting quantum dots under a finite magnetic field. Microscopic reversibility leads to a symmetry of the cumulant generating function, which generalizes the fluctuation theorem in the context of the quantum transport. Using the symmetry, we derive the Onsager-Casimir relations in the linear transport regime and universal relations among nonlinear transport coefficients. One of the measurable relations is that the nonlinear conductance, the second-order coefficient with respect to the bias voltage, is connected to the third current cumulant in equilibrium, which can be a finite and uneven function of the magnetic field for two-terminal noncentrosymmetric system.