Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
Masaki Oshikawa
TL;DR
A nonperturbative proof of Luttinger's theorem is given, based on a topological argument, that even completely localized spins contribute to the Fermi sea volume as electrons, whenever the system can be described as a Fermani liquid.
Abstract
A non-perturbative proof of Luttinger's theorem, based on a topological argument, is given for Fermi liquids in arbitrary dimensions. Application to the Kondo lattice shows that even the completely localized spins do contribute to the Fermi sea volume as electrons, whenever the system can be described as a Fermi liquid.