Form factor, standard deviation, and skewness of the field distribution in a hard type-II heavy-fermion superconductor from the Ginzburg-Landau model

Abstract

We compute the form factor and the standard deviation and skewness of the field distribution for a hard type-II heavy-fermion superconductor using an approximate analytical solution of the Ginzburg-Landau model. Our results are relevant if the temperature is such that T>T*=0.56Tc, where Tc is the superconductivity temperature. Instead of decreasing monotonically as the field is ramped up to the upper critical field as usually found, reflecting the influence of the Zeeman currents the form factor and standard deviation are predicted to display a maximum at an intermediate applied field intensity if the effective electron mass is sufficiently large. This behavior has been observed for the CeCoIn5 form factor at T≃T* and is explained qualitatively by our computation. Contrary to the form factor and standard deviation, the skewness of the field distribution is not strongly influenced by the Zeeman currents.

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