On the residual resistivity near a two dimensional metamagnetic quantum critical point

Details On the residual resistivity near a two dimensional metamagnetic quantum critical point On the residual resistivity near a two dimensional metamagnetic quantum critical point

2002-10-11

arxiv.org/abs/cond-mat/0210260v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.67.085102

The behavior of the residual (impurity-dominated) resistivity is computed for a material near a two dimensional quantum critical point characterized by a divergent $q=0$ susceptibility. A singular renormalization of the amplitude for back-scattering of an electron off of a single impurity is found. When the correlation length of the quantum critical point exceeds the mean free path, the singular renormalization is found to convert the familiar `Altshuler-Aronov' logarithmic correction to the conductivity into a squared-logarithmic form. Impurities can induce unconventional Friedel oscillations, which may be observable in scanning tunnelling microscope experiments. Possible connections to the metamagnetic quantum critical end point recently proposed for the material $Sr_{3}Ru_{2}O_{7}$ are discussed.

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