Superheating Field of Extreme Type-II Superconductors Calculated from the Eliashberg Theory
Abstract
We calculate the superheating field Hs of a type-II superconductor with a large Ginzburg-Landau parameter from the isotropic Eliashberg theory. It is shown that the temperature dependencies of Hs(T) can be obtained from a thermodynamic approach for different scattering parameters p=ℏ/2πτNkBTc in a wide range of the nonmagnetic impurity scattering times τN ranging from the clean (p≪ 1) to the dirty (p≫ 1) limits. Specific calculations were done for Nb and Nb3Sn using their electron-phonon spectral functions extracted from tunneling measurements. We show that the ratio Hs(T,p)/Hc(T) calculated from the Eliashberg theory exceeds that of the weak coupling BCS model, where Hc is the thermodynamic magnetic field. We also show that, even though nonmagnetic impurities are pairbreakers in the current-carrying state, Hs(0,p) for Nb3Sn at T=0 has a maximum at p≈ 0.2 at which the ratio Hs/Hc is about 6% higher than that in the BCS clean limit.
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BibTeX
@misc{paudel2026superheating,
title = {{Superheating Field of Extreme Type-II Superconductors Calculated from the Eliashberg Theory}},
author = {Ramesh Paudel and Alex Gurevich},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29842},
eprint = {2608.29842},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29842},
note = {CC0},
}
RIS
TY - UNPB
TI - Superheating Field of Extreme Type-II Superconductors Calculated from the Eliashberg Theory
AU - Ramesh Paudel
AU - Alex Gurevich
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29842
UR - https://arxiv.org/abs/2608.29842
AB - We calculate the superheating field H_s of a type-II superconductor with a large Ginzburg-Landau parameter from the isotropic Eliashberg theory. It is shown that the temperature dependencies of H_s(T) can be obtained from a thermodynamic approach for different scattering parameters p=ℏ/2πτ_Nk_BT_c in a wide range of the nonmagnetic impurity scattering times τ_N ranging from the clean (p≪ 1) to the dirty (p≫ 1) limits. Specific calculations were done for Nb and Nb_3Sn using their electron-phonon spectral functions extracted from tunneling measurements. We show that the ratio H_s(T,p)/H_c(T) calculated from the Eliashberg theory exceeds that of the weak coupling BCS model, where H_c is the thermodynamic magnetic field. We also show that, even though nonmagnetic impurities are pairbreakers in the current-carrying state, H_s(0,p) for Nb_3Sn at T=0 has a maximum at p≈ 0.2 at which the ratio H_s/H_c is about 6% higher than that in the BCS clean limit.
ER -