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Infrared Hall Effect in High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Superconductors: Evidence for Non-Fermi-Liquid Hall Scattering
Infrared ( $20--120$ and $900--1100{\mathrm{cm}}^{\ensuremath{-}1}$) Faraday rotation and circular dichroism are measured in high- ${T}_{c}$ superconductors using sensitive polarization modulation techniques. Optimally doped ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7}$ thin films are studied at temperatures in the range ( $15<T<300\phantom{\rule{0ex}{0ex}}\mathrm{K}$) and magnetic fields up to 8 T. At $1000{\mathrm{cm}}^{\ensuremath{-}1}$ the Hall conductivity ${\ensuremath{\sigma}}_{\mathrm{xy}}$ varies strongly …