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Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice

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arxiv cond-mat/0002392 v1 pith:TFUP7JIQ submitted 2000-02-25 cond-mat.str-el cond-mat.stat-mech

Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice

classification cond-mat.str-el cond-mat.stat-mech
keywords fermikondolatticeluttingertheoremtopologicalapplicationapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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