Measurement of the Far Infrared Magneto-Conductivity Tensor of Superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films

Abstract

We report measurements of the far infrared transmission of superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films from 5 cm${}^{-1}$ to 200 cm${}^{-1}$ in fields up to 14$T$. A Kramers-Kronig analysis of the magneto-transmission spectrum yields the magneto-conductivity tensor. The result shows that the magneto-conductivity of YBa${}_2$Cu${}_3$O${}_{7-\delta }$ is dominated by three terms: a London term, a low frequency Lorentzian (${\omega }_1\approx$ 3 cm) of width ${\Gamma }_1=$ 10 cm${}^{-1}$ and a finite frequency Lorentzian of width ${\Gamma }_2=$ 17 cm${}^{-1}$ at ${\omega }_2=$ 24 cm${}^{-1}$ in the hole cyclotron resonance active mode of circular polarization.\\

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