Intraband Optical Spectral Weight in the presence of a van Hove singularity: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

The Kubo single band sum rule is used to determine the optical spectral weight of a tight binding band with further than nearest neighbour hopping. We find for a wide range of parameters and doping concentrations that the change due to superconductivity at low temperature can be either negative or positive. In contrast, the kinetic energy change is always negative. We use an ARPES determined tight binding parametrization of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ to investigate whether this can account for recent observations of a positive change in the spectral weight due to the onset of superconductivity. With this band structure we find that in the relevant doping regime a straightforward BCS calculation of the optical spectral weight cannot account for the experimental observations.

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References in corpus (5)

• Measuring the gap in ARPES experiments
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Impurity effects on optical response in a finite band electronic system coupled to phonons
• Observation of phonon structure in electron density of states of normal metal
• Optical sum in Nearly Antiferromagnetic Fermi Liquid Model

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• Superconductivity-induced spectral weight transfer due to quantum geometry
• Optical sum rule anomalies in the cuprates: interplay between strong correlation and electronic bandstructures
• 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
• Optical Sum Rule anomalies in the High-Tc Cuprates