Higher-field magnetoresistance in disordered metals from superconducting interaction effects

Abstract

The low-field, high-temperature and high-field, low-temperature formulas given recently by Al'tshuler, Aronov, Larkin, and Khmel'nitskiǐ for the renormalized coupling constant $g=g(T,H)\mathrm{}$ governing the contribution to the magnetoresistance from orbital interaction effects in weakly disordered metals have been generalized to the form $g^{-1\mathrm{}}=\ln \left(\frac{T_c}{T}\right)+\psi \left[\frac{1}{2}\right]-\psi [\frac{1}{2}+(\frac{\mathrm{DeH}}{2\pi \mathrm{ckT}})$]. The relation of the field dependence of $g$ to the "ghost critical field" of Kapitulnik et al. is discussed. The formula for $g$ is also modified further to include the effect of Pauli paramagnetism.