Infrared Hall Effect in the electron-doped high $T_c$ cuprate Pr$_{2-x}$Ce$_{x}$CuO$_4$
ORAL
Abstract
We have performed infrared Hall measurements ($\sigma_{xy}$) as a function of temperature, frequency (950-1100~cm$^{-1}$) and wide doping range of Pr$_{2-x}$Ce$_{x}$CuO$_4$. Previous measurements have shown that electron-doped materials present clear evidence for a gap in the $\sigma_{xx}$ spectrum [1] and the DC Hall effect [2] for samples below both a critical doping of $x_c\sim$ 0.17, a characteristic temperature $T_W$ and an energy $\omega_W$. Our results lend further support to a density wave state in underdoped PCCO. However, these results demonstrate that $\sigma_{xy}$ exhibits strong deviations from the extended Drude model in contrast to its success for $\sigma_ {xx}$ in overdoped Pr$_{2-x}$Ce$_{x}$CuO$_4$ and in hole-doped cuprates. The work at University of Maryland was supported by NSF grants DMR-0352735 and DMR-0303112. [1] A. Zimmers $et$ $al$., Europhys. Lett., \textbf{70} (2), 225 (2005). [2] Y. Dagan $et$ $al$., Phy. Rev. Lett. \textbf{92}, 167001 (2004).
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