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.

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

References in corpus (5)

• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Sum rules and energy scales in the high-temperature superconductor YBa2Cu3O6+x
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• In-plane optical spectral weight transfer in optimally doped Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10}$
• Intraband Optical Spectral Weight in the presence of a van Hove singularity: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Cited by in corpus (10)

• Electrodynamics of Correlated Electron Materials
• Energetics of superconductivity in the two dimensional Hubbard model
• 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
• 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