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.

• Received 30 September 2008

DOI:https://doi.org/10.1103/PhysRevD.79.086006