The effect of Pauli paramagnetic limiting on the upper critical magnetic field ${\mathit{H}}_{\mathit{c}2}$ of a spin-fluctuation-mediated d-wave superconductor with arbitrary impurity concentration is calculated. In contrast to s-wave pairing, the extreme Pauli limit ${\mathit{H}}_{\mathit{c}2,\mathit{P}}$ does depend on the impurity concentration. In this model ${\mathit{H}}_{\mathit{c}2,\mathit{P}}$ does not correspond to the highest attainable value of ${\mathit{H}}_{\mathit{c}2}$. Our equations reduce properly to the Werthamer-Helfand-Hohenberg equations but with the factor (1+λ${)}^{\mathrm{-}1}$ of the Schossmann and Carbotte calculation. Strong-coupling effects are considered explicitly. © 1996 The American Physical Society.

• Received 8 July 1996

DOI:https://doi.org/10.1103/PhysRevB.54.16053