arXiv · 1305.6030
Orbital upper critical field of type-II superconductors with pair breaking
Abstract
The orbital upper critical field $H_{c2} $ is evaluated for isotropic materials with arbitrary transport and pair-breaking scattering rates. It is shown that unlike transport scattering which enhances $H_{c2} $, the pair breaking suppresses the upper critical field and reduces the dimensionless ratio $h^*(0)=H_{c2}(0)/T_c(dH_{c2}/dT)_{T_c} $ from the Helfand-Werthamer value of $\approx 0.7$ to 0.5 for a strong pair-breaking. $h^*(T)$ is evaluated for arbitrary transport and pair-breaking scattering. A phenomenological model for the pair-breaking suppression by magnetic fields is introduced. It shows qualitative features such as a positive curvature of $H_{c2}(T) $ and the low temperature upturn usually associated with multi-band superconductivity.
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V. G. Kogan, R. Prozorov. 2013-05-26. Orbital upper critical field of type-II superconductors with pair breaking. https://doi.org/10.1088/0034-4885%2F75%2F11%2F114502
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