A Proof of Luttinger Theorem

2005/02/28 by A. Praz, J. Feldman, H. Knoerrer +1
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1209/epl/i2005-10188-9

published as Europhysics Letters (2005) · 7 pages

arxiv created 2005/08/15 · arxiv updated 2009/12/01

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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