On the statistics of quantum transfer of non-interacting fermions in multi-terminal junctions

TL;DR

This paper investigates the statistical properties of quantum transfer of non-interacting fermions in multi-terminal junctions, revealing constraints on full counting statistics and highlighting differences from two-terminal systems.

Contribution

It extends the understanding of fermionic transfer statistics from two-terminal to multi-terminal systems, showing the absence of factorization in the latter.

Findings

Constraints on full counting statistics in multi-terminal junctions

No factorization property in multi-terminal fermionic transfer

Differences from two-terminal system behavior

Abstract

Similarly to the recently obtained result for two-terminal systems, we show that there are constraints on the full counting statistics for non-interacting fermions in multi-terminal contacts. In contrast to the two-terminal result, however, there is no factorization property in the multi-terminal case.