Field theory for describing transport in diffusive superconductors
by
FYS3
I'll discuss kinetic equations used to describe transport in disordered superconductors in the diffusive transport regime, with some general picture of the background and some applications. Generally, one can find quantum kinetic transport equations in the diffusive limit by starting from the Dyson equation, and making successive approximations. A second approach to the problem, introduced in context of Anderson localization with the connection to transport equations understood somewhat later, observes that what these low-energy transport equations describe are Goldstone modes originating from a certain symmetry of the impurity scattering problem. This viewpoint turns out to be useful for understanding of the structure of the theory and practical calculations, and I'll discuss our recent work applying it to spin-Hall physics. I'll also mention some applications to nonequilibrium responses in superconducting devices.