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arXiv:0809.3402 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Non-Fermi liquid from a charged black hole: A critical Fermi ball

Sung-Sik Lee

Published Apr 8, 2009• 330 citations
arXivHTMLPDF

Abstract

Using the anti-de Sitter/conformal field theory correspondence, we calculate a fermionic spectral function in a $2+1$ dimensional nonrelativistic quantum field theory which is dual to a gravitational theory in the ${\mathrm{AdS}}_{4}$ background with a charged black hole. The spectral function shows no quasiparticle peak but the Fermi surface is still well-defined. Interestingly, all momentum points inside the Fermi surface are critical and the gapless modes are defined in a critical Fermi ball in the momentum space.

DOI
10.1103/physrevd.79.086006

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