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 quasiparticle 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/i2005101889
 arXiv:
 arXiv:condmat/0502577
 Bibcode:
 2005EL.....72...49P
 Keywords:

 Statistical Mechanics;
 Strongly Correlated Electrons
 EPrint:
 7 pages