Optical Integral in the Cuprates and the Question of Sum Rule Violation

Abstract

Much attention has been given to a possible violation of the optical sum rule in the cuprates, and the connection this might have to kinetic energy lowering. The optical integral is composed of a cut-off independent term (whose temperature dependence is a measure of the sum rule violation), plus a cut-off dependent term that accounts for the extension of the Drude peak beyond the upper bound of the integral. We find that the temperature dependence of the optical integral in the normal state of the cuprates can be accounted for solely by the latter term, implying that the dominant contribution to the observed sum rule `violation' in the normal state is due to the finite cut-off. This cut-off dependent term is well modeled by a theory of electrons interacting with a broad spectrum of bosons.

arXiv commentsome clarifications and minor additions are offered in the final (published) version

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• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
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• Temperature-dependent ellipsometry measurements of partial Coulomb energy in superconducting cuprates
• Effects of Fermi-surface shrinking on the optical sum rule in pnictides
• High-temperature optical spectral weight and Fermi liquid renormalization in Bi-based cuprates
• Dipole matrix element approach vs. Peierls approximation for optical conductivity
• Kinetic energy driven superconductivity, the origin of the Meissner effect, and the reductionist frontier
• The spectral weight of hole doped cuprates across the pseudogap critical point
• Optical Integral and Sum Rule Violation
• Kinetic energy driven superconductivity and superfluidity
• Impact of a finite cut-off for the optical sum rule in the superconducting state
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Optics clues to pairing glues in high T${}_c$ cuprates
• Optical Sum Rule in Strongly Correlated Systems
• On d+id density wave and superconducting orderings in hole-doped cuprates