Optical sum rule anomalies in the cuprates: interplay between strong correlation and electronic bandstructures

Abstract

We theoretically analyze some of the anomalies of the optical sumrules in the high-temperature superconductors. In particular we address the particularly strong dependence on temperature of the sumrule in the normal state. Both electron-electron correlations and the presence of a Van-Hove singularity have been shown to enhance such a dependence. Here we consider both effects simultaneously by means of Dynamical Mean-Field Theory for a two dimensional Hubbard model with realistic parameters for different cuprates, and we find that the two effects are not cooperative, as they appear to compete one another in the region of parameters relevant for the experiments.

8 pages, 6 figures

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• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
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• How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems
• High-temperature optical spectral weight and Fermi liquid renormalization in Bi-based cuprates
• Localised vibrations in superconducting YBCO revealed by ultra-fast optical coherent spectroscopy
• Dipole matrix element approach vs. Peierls approximation for optical conductivity
• Detecting a preformed pair phase: The response to a pairing forcing field
• Robustness of the optical-conductivity sum rule in Bilayer Graphene
• Optical Integral and Sum Rule Violation
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Electrodynamic properties of an artificial heterostructured superconducting cuprate
• Optical Sum Rule in Strongly Correlated Systems