Charge transport by holographic Fermi surfaces

Understand

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.