Optical sum in Nearly Antiferromagnetic Fermi Liquid Model

Abstract

We calculate the optical sum (OS) and the kinetic energy (KE) for a tight binding band in the Nearly Antiferromagnetic Fermi Liquid (NAFFL) model which has had some success in describing the electronic structure of the high $T_c$ cuprates. The interactions among electrons due to the exchange of spin fluctuations profoundly change the probability of occupation $(n_{\mathbf{k},\sigma })$ of states of momentum {\bf k} and spin $\sigma$ which is the central quantity in the calculations of OS and KE. Normal and superconducting states are considered as a function of temperature. Both integrals are found to depend importantly on interactions and an independent electron model is inadequate.

9 Pages, 5 Figures Accepted for publication in Phys. Rev. B

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• Intraband Optical Spectral Weight in the presence of a van Hove singularity: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Optical conductivity of unconventional charge density wave systems: Role of vertex corrections
• Temperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering
• Temperature dependence of the spectral weight in p- and n-type cuprates: a study of normal state partial gaps and electronic kinetic energy
• Selfconsistent gauge-invariant theory of in-plane infrared response of high-Tc cuprate superconductors involving spin fluctuations
• Optical Sum Rule anomalies in the High-Tc Cuprates