Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice

2000/02/25 by Masaki Oshikawa · 7 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.84.3370

published as Phys. Rev. Lett. 84, 3370 (2000) · 4 pages in REVTEX (no figure), accepted for publication in Phys. Rev. Letters

arxiv created 2000/02/25 · openalex publication_date 2000/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A nonperturbative 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 completely localized spins contribute to the Fermi sea volume as electrons, whenever the system can be described as a Fermi liquid.

Citations

• Two soluble models of an antiferromagnetic chain

Cited by

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