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A Proof of Luttinger Theorem

A. Praz·J. Feldman·H. Knoerrer·E. Trubowitz
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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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A. Praz, J. Feldman, H. Knoerrer, E. Trubowitz. 2005-08-15. A Proof of Luttinger Theorem. https://doi.org/10.1209/epl%2Fi2005-10188-9

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