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Holographic Non-Fermi Liquids and the Luttinger Theorem · Around

2010

Holographic Non-Fermi Liquids and the Luttinger Theorem

Larsen, Finn, van Anders, Greg

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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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