Abstract
We introduce time-dependent, generalized factorial cumulants of the full counting statistics of electron transfer as a tool to detect interactions in nanostructures. The violation of the sign criterion for any time , order , and parameter proves the presence of interactions. For given system parameters, there is a minimal time span and a minimal order to observe the violation of the sign criterion. We demonstrate that generalized factorial cumulants are more sensitive to interactions than ordinary ones and can detect interactions even in regimes where ordinary factorial cumulants fail. We illustrate our findings with the example of a quantum dot tunnel coupled to electronic reservoirs either in or out of equilibrium.
- Received 16 July 2015
- Revised 18 September 2015
DOI:https://doi.org/10.1103/PhysRevB.92.155413
©2015 American Physical Society