Momentum-energy tensor associated to the quasiparticles in anisotropic superconductors
From a Lagrangian density for the Bogoliubov de Gennes equations in anisotropic superconductors, we find the momentum-energy tensor associated to the quasiparticles of the system. For this, we make infinitesimal translations on both space and time and we use the Noether's theorem. We prove that beyond to the usual terms associated to the electron-hole dynamic in electromagnetic potentials, appears terms that involves the pair potential and that are obtained from the coupling of the electron-like and hole-like quasiparticles.
cond-mat.supr-con↗