Translational invariance of the density and current temperature Green’s functions for an electron gas in a uniform magnetic field

Abstract

In the aim of providing a theoretical basis for conventional calculation, the translational invariance of both the density temperature Green's function and the current temperature Green's function is proved for an interacting electron gas in a uniform magnetic field. The proof is based on the previously proposed nonperturbative canonical method [Phys. Rev. B 50, 18 640 (1994)].