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Magnetic field ($H$)-dependent optical conductivity spectra $\sigma (\omega)$ and dielectric constant spectra $\epsilon (\omega)$ of a layeredantiferromagnet ($A$-type) Pr$_{1/2}$Sr$_{1/2}$MnO$_3$ were presented. At 0.0 Tin 4.2 K, the $\sigma (\omega)$ showed a small Drude-like peak in thefar-infrared region and a broad absorption peak in the mid-infrared region.With increasing $H$, large spectral weights were transferred from high to lowenergy regions with increase of the Drude-like peak. We found that a polaronpicture could explain most of the $H$-dependent spectral changes. By comparingwith the $H$-dependent spectral weight changes and $\epsilon (\omega)$ ofNd$_{1/2}$Sr$_{1/2}$MnO$_3$, which has the $CE$-type spin ordering, we showedthat a dimensional crossover from a 2-dimensional to a 3-dimensional metaloccurs in Pr$_{1/2}$Sr$_{1/2}$MnO$_3$.Comment: submitted to Phys. Rev.

physical review. b, condensed matter

Magnetic-field-dependent optical studies of a layered antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Pr</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow…

Magnetic-field-dependent optical studies of a layered antiferromagnetPr1/2Sr1/2