A rigorous and simple perturbative proof of Luttinger's theorem is sketched for Fermi liquids in two and three dimensions. It is proved that in the finite volume, the quasiparticle density is independent of the interaction strength. The thermodynamic limit is then controlled to all orders in perturbation theory.
机构:
Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China