Volume 72, Number 1, October 2005
|Page(s)||49 - 54|
|Published online||12 August 2005|
A proof of Luttinger's theorem
Department of Mathematics, Eidgenössische Technische Hochschule Zürich Zürich, Switzerland
2 Paul Scherrer Institut - Villigen, Switzerland
3 Department of Mathematics, University of British Columbia - Vancouver, Canada
Accepted: 22 July 2005
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.
PACS: 05.30.Fk – Fermion systems and electron gas / 05.10.Cc – Renormalization group methods / 71.10.Ay – Fermi-liquid theory and other phenomenological models
© EDP Sciences, 2005
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