ABSTRACT
In Chapter 11, we elucidated a close relation between interaction effects and shot noise in short coherent conductors. In particular, the leading interaction correction to the current through such conductors is determined by the second cumulant of the current operator, i.e., by the power spectrum of the shot noise. Moreover, the interaction correction to the shot noise was, in turn, found proportional to the third cumulant of the current operator. Even more generally, the RG analysis developed in Section 11.3.1 allows to conclude that the lowest-order interaction correction to the nth current cumulant is determined by 1 + n-th current cumulant for all values of n. Since the current cumulants, in the absence of interactions, can be conveniently analyzed within the FCS formalism [269], the above observations provide a great deal of information about the effect of electron–electron interactions as well.
