Analytical Noise Spectra for Chiral d-Wave Superconducting Heterostructures

We present analytical expressions for the noise spectrum of a chiral dwave/normal/chiral d-wave Josephson junction. The scattering matrix is derived from the Bogoliubov de-Gennes equations without use of the Andreev approximation. We use the derived scattering coefficients to calculate the currentcurrent correlation function directly and from this the noise spectrum (and in particular the shot noise contribution) is generated. The effects of the chiral nature of the order parameter in the scattering and noise properties of the structures are investigated and are compared to those of those of the non-chiral d-wave order parameter. Recent experimental work has produced a number of candidate materials hypothesized to have chiral d-wave order parameters, which makes theoretical characterization of these structures of particular importance.