Optical response of high-$T_c$ cuprates: possible role of scattering rate saturation and in-plane anisotropy

Abstract

We present a generalized Drude analysis of the in-plane optical conductivity ${\sigma }_{ab}$($T$,$\omega$) in cuprates taking into account the effects of in-plane anisotropy. A simple ansatz for the scattering rate $\Gamma$($T$,$\omega$), that includes anisotropy, a quadratic frequency dependence and saturation at the Mott-Ioffe-Regel limit, is able to reproduce recent normal state data on an optimally doped cuprate over a wide frequency range. We highlight the potential importance of including anisotropy in the full expression for ${\sigma }_{ab}$($T$,$\omega$) and challenge previous determinations of $\Gamma$($\omega$) in which anisotropy was neglected and $\Gamma$($\omega$) was indicated to be strictly linear in frequency over a wide frequency range. Possible implications of our findings for understanding thermodynamic properties and self-energy effects in high-$T_c$ cuprates will also be discussed.

arXiv comment8 pages, 7 figures. To be published in Physical Review B

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• A Raman study of the temperature and magnetic field dependence of electronic and lattice properties in MnSi
• Tracking anisotropic scattering in overdoped Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ above 100 K
• Angle dependent magnetoresistance measurements in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ and the need for anisotropic scattering
• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
• Temperature Dependence of Interlayer Magnetoresistance in Anisotropic Layered Metals
• Evolution with hole doping of the electronic excitation spectrum in the cuprate superconductors