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The mid-infrared Hall effect in optimally-doped Bi_2 Sr_2 CaCu_2 O_{8+δ}

D. C. Schmadel·G. D. Gu·Hiroshi Kontaini·H. D. Drew
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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$_{8+δ}$. The results show a simple Drude behavior in the Hall conductivity $σ_{xy}$ which stands in contrast to the more complex, extended Drude behavior for the longitudinal conductivity $σ_{xx}$. The mid IR Hall scattering rate $γ_{xy}$ 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 decreases slighly with increasing frequency. These disparate behaviors are consistent with calculations based on the fluctuation-exchange interaction using current vertex corrections.

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D. C. Schmadel, G. D. Gu, Hiroshi Kontaini, H. D. Drew. 2006-01-29. The mid-infrared Hall effect in optimally-doped Bi_2 Sr_2 CaCu_2 O_{8+δ}. https://arxiv.org/abs/cond-mat/0510793

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