Abstract
A Fermi surface coupled to a scalar field can be described in a expansion by choosing the fermion-scalar Yukawa coupling to be random in the -dimensional flavor space, but invariant under translations. We compute the conductivity of such a theory in two spatial dimensions for a critical scalar. We find a Drude contribution, and verify that the proposed contribution to the optical conductivity at frequency has vanishing coefficient for a convex Fermi surface. We also describe the influence of impurity scattering of the fermions, and find that while the self-energy resembles a marginal Fermi liquid, the resistivity and optical conductivity behave like a Fermi liquid.
- Received 21 July 2022
- Accepted 16 September 2022
DOI:https://doi.org/10.1103/PhysRevB.106.115151
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