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We study the finite-frequency inter-band transition peak in the opticalconductivity of a heavy fermion system close to a Kondo breakdown quantumcritical point, where the lattice Kondo temperature vanishes. As the systemapproaches the phase transition from the heavy Fermi liquid side, we find a newcross-over regime where the peak position is related to, but is not directlyproportional to, the lattice Kondo scale. In particular, the position of thepeak moves to lower energies, but remains finite at the critical point. On theother hand, the peak value changes non-monotonically and eventually the peakdisappears at the quantum critical point, indicating the decoupling of thenarrow band of f-electrons from the conduction band. We argue that these areunique signatures of a Kondo breakdown transition, and therefore can be usefulto distinguish it experimentally from a spin density wave instability.

Signature of Kondo breakdown quantum criticality in optical conductivity