| Issue |
Europhys. Lett.
Volume 72, Number 1, October 2005
|
|
|---|---|---|
| Page(s) | 49 - 54 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10188-9 | |
| Published online | 12 August 2005 | |
A proof of Luttinger's theorem
1
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
Received:
7
June
2005
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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