Heat-transport Ward identity and effective Landau Fermi-liquid parameters in disordered systems

Abstract
The renormalization of the specific heat and of the thermal-diffusion coefficient due to the electron-electron interaction in the presence of disorder is determined by exploiting the skeleton structure of the heat-response function in conjunction with the constraints originating from energy conservation (in the form of a Ward identity). This analysis completes for the thermal properties the identification of a renormalized skeleton theory (suitable for disordered interacting-electron systems) with an effective Landau Fermi-liquid theory.