A proof of Luttinger's theorem
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.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- October 2005
- DOI:
- 10.1209/epl/i2005-10188-9
- arXiv:
- arXiv:cond-mat/0502577
- Bibcode:
- 2005EL.....72...49P
- Keywords:
-
- Statistical Mechanics;
- Strongly Correlated Electrons
- E-Print:
- 7 pages