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Effect of equatorial line nodes on upper critical field and London penetration depth

The upper critical field $H_{c2}$ and its anisotropy are calculated for order parameters with line nodes at equators, $k_z=0$, of the Fermi surface of uniaxial superconductors. It is shown that characteristic features found in Fe-based materials -- a nearly linear $H_{c2}(T)$ in a broad $T$ domain, a low and increasing on warming anisotropy $γ_H= H_{c2,ab}/ H_{c2,c}\, $ -- can be caused by competing effects of the equatorial nodes and of the Fermi surface anisotropy. For certain material parameters, $γ_H(T)-1$ may change sign on warming in agreement with recorded behavior of FeTeS system. It is also shown that the anisotropy of the penetration depth $γ_λ= λ_c/λ_{ab} $ decreases on warming to reach $γ_H$ at $T_c$ in agreement with data available. For some materials $γ_λ(T)$ may change on warming from $γ_λ>1$ at low $T$s to $γ_λ<1$ at high $T$s.

preprint2014arXivOpen access

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