Full counting statistics in a serially coupled double quantum dot system with spin–orbit coupling
Highlights: •The quantum coherence dependence of FCS depends on the SOC-tuned hopping strength. •The spin polarization rates determine the formation of super-Poissonian shot noise. •The spin polarization rates and magnitude of magnetic field can induce a strong NDC. •The obvious energy-level detuning dependence of FCS can reflect the magnitude of SOC. •The dip position of the skewness can be used to qualitatively extract SOC strength. -- Abstract: We study the full counting statistics of electron transport through a serially coupled double quantum dot (QD) system with spin–orbit coupling (SOC) weakly coupled to two electrodes. We demonstrate that the spin polarizations of the source and drain electrodes determine whether the shot noise maintains super-Poissonian distribution, and whether the sign transitions of the skewness from positive to negative values and of the kurtosis from negative to positive values take place. In particular, the interplay between the spin polarizations of the source and drain electrodes and the magnitude of the external magnetic field, can give rise to a gate-voltage-tunable strong negative differential conductance (NDC) and the shot noise in this NDC region is significantly enhanced. Importantly, for a given SOC parameter, the obvious variation of the high-order current cumulants as a function of the energy-level detuning in a certain range, especially the dip position of the Fano factor of the skewness can be used to qualitatively extract the information about the magnitude of the SOC.