Charge transport by holographic Fermi surfaces

TL;DR

This paper investigates charge transport in holographic Fermi surfaces by computing one-loop corrections in an AdS black hole background, revealing a linear temperature dependence of resistivity in marginal Fermi liquids.

Contribution

It introduces a method to calculate conductivity contributions from holographic Fermi surfaces using one-loop corrections in a charged black hole geometry.

Findings

Current dissipation is maximally efficient.

Transport lifetime equals single-particle lifetime.

Resistivity is linear in temperature for marginal Fermi liquids.

Abstract

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.