Optical conductivity of unconventional charge density wave systems: Role of vertex corrections

Abstract

The optical conductivity of a d-CDW conductor is calculated for electrons on a square lattice and a nearest-neighbor charge-charge interaction using the lowest-order conserving approximation. The spectral properties of the Drude-like peak at low frequencies and the broad hump due to transitions across the gap at large frequencies are discussed, also as a function of temperature and of the second-nearest neighbor hopping term t'. We find that vertex corrections enhance the d.c. conductivity, make the Drude peak narrower and provide a smooth transition from a renormalized regime at low to the bare theory at high frequencies. It is also shown that vertex corrections enhance the temperature dependence of the restricted optical sum leading to a non-negligible violation of the sum rule in the d-CDW state.

arXiv comment10 pages, 6 figures

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• Fermi surface arcs and the infrared conductivity of underdoped YBa${}_2$Cu${}_3$O${}_{6.50}$
• Manifestation of pseudogap in ab-plane optical characteristics
• Selfconsistent gauge-invariant theory of in-plane infrared response of high-Tc cuprate superconductors involving spin fluctuations
• Centipede ladder at quarter filling
• Collective excitations in unconventional charge-density wave systems
• Downward shift of infrared conductivity spectral weight at the DDW transition: role of anisotropy
• Electrical Conductivity in Quantum Materials