A Proof of Luttinger Theorem

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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7 pages

Scientific paper

10.1209/epl/i2005-10188-9

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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