The mid-infrared Hall effect in optimally-doped Bi$_{2}$Sr$_{2}$CaCu$_2$O$_{8+\delta}$

ORAL

Abstract

Heterodyne polarometry is used to measure the frequency dependence in the mid IR from 900 to 1100 cm$^-1$ and temperature dependence from 35 to 330 K of the normal state Hall transport in single crystal, optimally doped Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$. The results show a simple Drude behavior in the Hall conductivity $\sigma_{xy}$ which stands in contrast to the more complex, extended Drude behavior for the longitudinal conductivity $\sigma_{xx}$. The mid IR Hall scattering rate $\gamma_{xy}$ increases linearly with temperature and has a small, positive, projected intercept at $T=0$. The longitudinal scatter rate, in contrast, is much larger and exhibits very little temperature dependnece. The Hall frequency indicates a carrier mass which is 6.7 times the band mass and which decrease slighly with increasing frequency. These disparate behaviors are consistent with calculations based on the fluctuation-exchange interaction using current vertex corrections (H Kontani, cond-mat/0507664).

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Authors

  • Don Schmadel

    Department of Physics, University of Maryland, College Park, Maryland 20742, USA, Department of Physics, University of Maryland, College Park, Maryland 20742 USA

  • Gen D. Gu

    Department of Physics, Brookhaven National Laboratory, Upton, NY 11973, Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 USA, Brookhaven National Laboratory

  • H.D. Drew

    Physics Dept., Univ. of Maryland, College Park, MD, Department of Physics, University of Maryland, College Park, Maryland 20742, USA, Physics Department, University of Maryland, College Park, MD 20742, University of Maryland, College Park, MD 20742, Department of Physics, University of Maryland, College Park, Maryland 20742 USA, University of Maryland