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arXiv 2005-02-24 DOI 10.1209/epl/i2005-10188-9 1 views

A Proof of Luttinger Theorem

Praz, A. · Feldman, J. · Knoerrer, H. · Trubowitz, E.

Original · EN

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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