Analytical Noise Spectra Calculations for High-Temperature Superconducting Nanowires

In this talk we present analytical results for the noise spectrum of a superconducting heterostructure formed by a high temperature superconductor (HTS) nanowire. The scattering matrix is calculated from first principles using the Bogoliubov-de Gennes equations with appropriate boundary conditions and without the Andreev approximation. The current-current correlation function is calculated directly using the scattering coefficients and from this the noise spectrum (and in particular the shot noise contribution) is generated. The effects of the anisotropy of the order parameter in the scattering properties of the structures are investigated. We also consider some of the consequences of the quasi-1d geometry in terms of the restrictions on allowed propagation modes through the nanowire. Recent advances in materials synthesis have brought the production of high quality HTS nanowires closer widespread use in the design and construction of superconducting devices, which makes theoretical characterization of these structures of particular importance.