Charge transport by holographic Fermi surfaces

We compute the contribution to the conductivity from holographic Fermi surfaces obtained from probe fermions in an AdS charged black hole. This requires calculating a certain part of the one-loop correction to a vector propagator on the charged black hole geometry. We find that the current dissipation is as efficient as possible and the transport lifetime coincides with the single-particle lifetime. In particular, in the case where the spectral density is that of a marginal Fermi liquid, the resistivity is linear in temperature.United States. Dept. of Energy (Cooperative Research Agreement DE-FG0205ER41360)United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-92ER40697)United States. Dept. of Energy (Cooperative Research Agreement DE-FG0205ER41360)United States. Dept. of Energy (Cooperative Research Agreement DE-SC0009919)United States. Dept. of Energy. Outstanding Junior Investigator ProgramAlfred P. Sloan FoundationNational Science Foundation (U.S.) (Grant NSF PHY05-51164)National Science Foundation (U.S.) (Grant PHY11-25915