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PreprintCC BY 4.0arXiv

Superheating field of clean superconductors near the type-I--type-II boundary: the low-temperature Meissner stability limit of niobium

  • Takayuki Kubo
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Abstract

We calculate the low-temperature superheating field Bsh of clean superconductors near the boundary between type-I and type-II superconductivity, with particular emphasis on Nb. Ginzburg--Landau theory is not applicable at low temperatures, while previous microscopic calculations have been limited to either the large-κ regime or the dirty limit. The clean, low-κ regime relevant to Nb has therefore remained unresolved. We solve the self-consistent nonlinear nonlocal Eilenberger problem for the Meissner state and then analyze its stability against small perturbations. For a Nb-like material with κGL=0.7, we obtain Bsh≃ 290 mT at T/Tc=0.2, using Bc0≃ 200 mT. For a TESLA-shaped Nb accelerator cavity, this corresponds to an intrinsic Meissner-stability limit of about 67 MV/m.

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Cite

BibTeXRIS
BibTeX
@misc{kubo2026superheating,
  title = {{Superheating field of clean superconductors near the type-I--type-II boundary: the low-temperature Meissner stability limit of niobium}},
  author = {Takayuki Kubo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.10420},
  eprint = {2606.10420},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.10420},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Superheating field of clean superconductors near the type-I--type-II boundary: the low-temperature Meissner stability limit of niobium
AU  - Takayuki Kubo
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2606.10420
UR  - https://arxiv.org/abs/2606.10420
AB  - We calculate the low-temperature superheating field B_sh of clean superconductors near the boundary between type-I and type-II superconductivity, with particular emphasis on Nb. Ginzburg--Landau theory is not applicable at low temperatures, while previous microscopic calculations have been limited to either the large-κ regime or the dirty limit. The clean, low-κ regime relevant to Nb has therefore remained unresolved. We solve the self-consistent nonlinear nonlocal Eilenberger problem for the Meissner state and then analyze its stability against small perturbations. For a Nb-like material with κ_GL=0.7, we obtain B_sh≃ 290 mT at T/T_c=0.2, using B_c0≃ 200 mT. For a TESLA-shaped Nb accelerator cavity, this corresponds to an intrinsic Meissner-stability limit of about 67 MV/m.
ER  -