Full optical spectrum of the composite Fermi liquid in Chern bands

Compute the full optical conductivity spectrum of the composite Fermi liquid in generic Chern bands, including the low-frequency behavior and finite-frequency response, to verify and quantify the iω scaling suggested by the Ioffe–Larkin rule and to establish the detailed frequency-dependent optical properties of the Drudeless metallic phase.

Background

The authors show that composite Fermi liquids in Chern bands have vanishing Drude weight and note consistency with an expected low-frequency form σxx∝iω derived from the Ioffe–Larkin rule. This indicates suppressed DC conductivity but leaves the detailed frequency-dependent response undetermined.

A complete calculation of the optical spectrum would solidify the transport characterization of the CFL phase in Chern bands and provide experimentally testable predictions for optical absorption and conductivity across frequencies.