Effects of Exchange Symmetry on Full Counting Statistics

TL;DR

This paper investigates how exchange symmetry influences full counting statistics in quantum transport, revealing significant effects on average transmitted charge and higher cumulants, especially for identical particles with exchange correlations.

Contribution

It demonstrates the substantial impact of exchange symmetry on full counting statistics, including a dramatic increase in average transmitted charge for exchange-correlated electrons.

Findings

Exchange symmetry greatly affects average transmitted charge.

Higher cumulants are sensitive to exchange symmetry.

Effects are pronounced for energy-dependent scattering.

Abstract

We study the full counting statistics for the transmission of two identical particles with positive or negative symmetry under exchange for the situation where the scattering depends on energy. We find that, besides the expected sensitivity of the noise and higher cumulants, the exchange symmetry has a huge effect on the average transmitted charge; for equal-spin exchange-correlated electrons, the average transmitted charge can be orders of magnitude larger than the corresponding value for independent electrons. A similar, although smaller, effect is found in a four-lead geometry even for energy-independent scattering.