Far IR Hall Angle Measurements on Single Crystal Bi$_2$Sr$_2$CaCu$_2$0$_{8+x}$.
ORAL
Abstract
The far-infrared complex Hall angle was studied in thin optimally doped single crystal Bi$_2$Sr$_2$CaCu$_2$0$_{8+x}$ as a continuous function of temperature from 25 to 300 K and at a discrete set of frequencies in the range of 25 cm$^{-1}$ to 175 cm $^{-1}$ using a heterodyne technique. The real part of the inverse Hall angle obeys a temperature power law, T$^{n}$, where n = 1.65 which is consistent with the dc-value. For the three frequencies below 90 cm$^{-1}$, the Hall frequency is a constant in temperature and frequency to within 20\% from T$_C$ up to room temperature. The Hall mass of 2.5 m$_e$ in reasonable agreement with the values found in far IR optical measurements 3.0 m$_e$, ARPES dispersion results along the $(\pi,\pi)$ nodal direction (2.9 m$_e$), and mid IR Hall measurements (2.8 m$_e$) where m$_e$ is the bare electron mass. These results will be compared with theoretical predictions.
*The support of NSF through grant DMR-0303112 is acknowledged.
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