Holographic Non-Fermi Liquids and the Luttinger Theorem

Details Holographic Non-Fermi Liquids and the Luttinger Theorem Holographic Non-Fermi Liquids and the Luttinger Theorem

2010-06-09

arxiv.org/abs/1006.1846v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures

Scientific paper

We show that the Luttinger theorem, a robust feature of Fermi liquids, can be violated in non-Fermi liquids. We compute non-Fermi liquid Green functions using duality to black holes and find that the volume of the Fermi surface depends exponentially on the scaling dimension, which is a measure of the coupling. This demonstrates that Luttinger's theorem does not extend to non-Fermi liquids. We comment on possible experimental signatures.

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