Holographic Fermi surfaces near quantum phase transitions

We study holographic Fermi surfaces coupled to a bosonic degree of freedom using the gauge/gravity correspondence. The gravity background is a charged black hole in asymptotically AdS spacetime. We introduce a neutral scalar field with parameters such that the system is at a quantum phase transition point. We further introduce a Dirac field and couple it to the scalar. At finite N, these fields interact in the bulk. We compute the bulk one-loop contribution to the boundary fermionic self-energies at various quantum phase transition points. The results would give an embedding of the marginal Fermi liquid model by Varma et al. into a holographic context. We comment on important issues that arise at low energies when one wants to take the one-loop results more seriously.