A Proof of Luttinger Theorem
classification
❄️ cond-mat.stat-mech
cond-mat.str-el
keywords
luttingerprooftheoremcontrolleddensitydimensionsfermifinite
read the original abstract
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 quasi-particle density is independent of the interaction strength. The thermodynamic limit is then controlled to all orders in perturbation theory.
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