Eilenberger theory calculation gives B_sh ≈ 290 mT at T/Tc=0.2 for κ_GL=0.7 Nb-like material (B_c0=200 mT), exceeding GL extrapolation and implying ~67 MV/m TESLA cavity limit.
Superheating field of clean superconductors near the type-I--type-II boundary: the low-temperature Meissner stability limit of niobium
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abstract
We calculate the low-temperature superheating field $B_{\rm sh}$ of clean superconductors near the boundary between type-I and type-II superconductivity, with particular emphasis on Nb. The calculation is based on the self-consistent nonlinear nonlocal Eilenberger theory and the linear stability analysis of the Meissner state. For a Nb-like material with $\kappa_{\rm GL}=0.7$, we obtain $B_{\rm sh}\simeq 290\,{\rm mT}$ at $T/T_c=0.2$, using $B_{c0}\simeq 200\,{\rm mT}$. This value is substantially higher than the value obtained by naively extrapolating the Ginzburg--Landau result near $T_c$ to $T\ll T_c$. For a TESLA-shaped Nb accelerator cavity, it corresponds to an intrinsic Meissner-stability limit of about $67\,{\rm MV/m}$.
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cond-mat.supr-con 1years
2026 1verdicts
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Superheating field of clean superconductors near the type-I--type-II boundary: the low-temperature Meissner stability limit of niobium
Eilenberger theory calculation gives B_sh ≈ 290 mT at T/Tc=0.2 for κ_GL=0.7 Nb-like material (B_c0=200 mT), exceeding GL extrapolation and implying ~67 MV/m TESLA cavity limit.