Infrared Hall conductivity in optimally doped ${\mathrm{Bi}}_2{\mathrm{Sr}}_2\mathrm{Ca}{\mathrm{Cu}}_2{\mathrm{O}}_{8+\delta }$: Drude behavior examined by experiment and fluctuation-exchange-model calculations

The temperature dependence of the Hall conductivity is reported at mid- and far-IR frequencies for cleaved single crystals. A nearly simple Drude behavior is observed with a scattering rate that is linear in temperature and nearly frequency independent. The Hall data are in good agreement with calculations based on the fluctuation-exchange interaction when current vertex corrections are included. The ${\sigma }_{xy}$ quasiparticle spectral weight is suppressed to 0.09 times the band value, compared with 0.33 times the band value for ${\sigma }_{xx}$.

Figure 1

(Color online) The real and imaginary parts of the inverse Hall angle ${\theta }_H^{-1}$ for 2212 BSCCO versus temperature measured at $950{\mathrm{cm}}^{-1}$ and normalized to $1\mathrm{T}$ from four pairs of temperature scans.

Figure 2

(Color online) ${\sigma }_{xy}^{-1∕2}$ for 2212 BSCCO at $300\mathrm{K}$ versus temperature measured at $950{\mathrm{cm}}^{-1}$ and normalized to $1\mathrm{T}$. The solid dots are the calculated results of the $\mathrm{FLEX}+\mathrm{CVC}$ (Ref. 14) approximation.

Figure 3

(Color online) ${\theta }_H$ for optimally doped 2212 BSCCO versus temperature measured at $84{\mathrm{cm}}^{-1}$ averaged from five thermal scans and normalized to $1\mathrm{T}$.

Figure 4

(Color online) ${\sigma }_{xy}^{-1∕2}$ for 2212 BSCCO at $300\mathrm{K}$ and normalized to $1\mathrm{T}$. The data are shown as solid squares (real) and solid diamonds (imaginary), and the $\mathrm{FLEX}+\mathrm{CVC}$ calculations are represented by open squares (real) and open diamonds (imaginary).