Mid-infrared Hall effect in thin-film metals: Probing the Fermi surface anisotropy in Au and Cu

A sensitive mid-infrared (MIR, 900-1100 cm-1, 112-136 meV) photo-elastic polarization modulation technique is used to measure simultaneously Faraday rotation and circular dichroism in thin metal films. These two quantities determine the complex AC Hall conductivity. This novel technique is applied to study Au and Cu thin films at temperatures down to 20 K and magnetic fields up to 8 T. The Hall frequency is consistent with band theory predictions. We report the first measurement of the MIR Hall scattering rate, which is significantly lower than that derived from Drude analysis of zero magnetic field MIR transmission measurements. This difference is qualitatively explained in terms of the anisotropy of the Fermi surface in Au and Cu.Comment: 14 pages of text, 5 figure

Infrared Hall effect in high Tc superconductors: Evidence for non-Fermi liquid Hall scattering

Infrared (20-120 cm-1 and 900-1100 cm-1) Faraday rotation and circular dichroism are measured in high Tc superconductors using sensitive polarization modulation techniques. Optimally doped YBCO thin films are studied at temperatures down to 15 K and magnetic fields up to 8 T. At 1000 cm-1 the Hall conductivity varies strongly with temperature in contrast to the longitudinal conductivity which is nearly independent of temperature. The Hall scattering rate has a T^2 temperature dependence but, unlike a Fermi liquid, depends only weakly on frequency. The experiment puts severe constraints on theories of transport in the normal state of high Tc superconductors.Comment: 8 pages, 3 figure

Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations

In many strongly correlated electron systems, remarkable violation of the relaxation time approximation (RTA) is observed. The most famous example would be high-Tc superconductors (HTSCs), and similar anomalous transport phenomena have been observed in metals near their antiferromagnetic (AF) quantum critical point (QCP). Here, we develop a transport theory involving resistivity and Hall coefficient on the basis of the microscopic Fermi liquid theory, by considering the current vertex correction (CVC). In nearly AF Fermi liquids, the CVC accounts for the significant enhancements in the Hall coefficient, magnetoresistance, thermoelectric power, and Nernst coefficient in nearly AF metals. According to the numerical study, aspects of anomalous transport phenomena in HTSC are explained in a unified way by considering the CVC, without introducing any fitting parameters; this strongly supports the idea that HTSCs are Fermi liquids with strong AF fluctuations. In addition, the striking \omega-dependence of the AC Hall coefficient and the remarkable effects of impurities on the transport coefficients in HTSCs appear to fit naturally into the present theory. The present theory also explains very similar anomalous transport phenomena occurring in CeCoIn5 and CeRhIn5, which is a heavy-fermion system near the AF QCP, and in the organic superconductor \kappa-(BEDT-TTF).Comment: 100 pages, Rep. Prog. Phys. 71, 026501 (2008

Approaches to estimate uncertainty in longitudinal channel water balances

The effects of uncertainty in field measurements on estimated longitudinal channel water balances are a poorly understood aspect of hydrology. A mountain stream study reach in northern Utah with spatially variable groundwater exchange was used to explore a detailed uncertainty analysis approach to estimate the error in water balances. Net changes in stream flow were first estimated for both a 515 m and a 560 m reach using two discharge measurement methods: (1) rating curves and (2) dilution gauging with instantaneous tracer experiments. Errors in estimates were quantified using 95% joint confidence regions for rating curves and a first-order error analysis for dilution gauging. With the mean errors in rating curve predictions and dilution gauging estimated to be ±8.2% and ±8.4%, respectively, neither method was found to definitively detect net changes in stream flow at this scale. Using dilution gauging, net channel water balances were then estimated for a collection of 56–229 m sub-reaches within the two original study reaches. When considering the ±8.1% error (defined as 95% prediction intervals) in these estimates at this scale, significant net changes were observed in only half of the sub-reaches. Gross gains and losses that contribute to these net changes were estimated and a first-order error analysis was additionally performed. Half of the sub-reaches had significant gross gains and losses concurrently occurring that did not have significant net changes. The uncertainty analyses proved imperative to appropriately interpret results