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PreprintCC BY 4.0arXiv

Generalized conditions for odd-frequency pairing in superconducting systems

  • Florian Kayatz
  • Annica M. Black-Schaffer
  • Jorge Cayao
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Abstract

Odd-frequency superconducting pairing has been predicted to arise in many systems and is known to lead to phenomena such as paramagnetic Meissner response and long-range superconducting proximity effect. Here, we provide generalized necessary and sufficient conditions for odd-frequency pairing appearing in any superconducting system, from bulk superconductors to superconducting hybrid structures. This generalizes an earlier first-order expression in multiband bulk superconductors to all superconducting systems and to all orders, in both order parameter and frequency. We then apply the derived conditions to several systems, including superconducting-ferromagnet and superconducting Josephson junctions, as well as a transition metal dichalcogenide monolayer proximitized by a conventional superconductor, where the generalized conditions are used to understand the properties of the superconducting state.

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Cite

BibTeXRIS
BibTeX
@misc{kayatz2026generalized,
  title = {{Generalized conditions for odd-frequency pairing in superconducting systems}},
  author = {Florian Kayatz and Annica M. Black-Schaffer and Jorge Cayao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24827},
  eprint = {2609.24827},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24827},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalized conditions for odd-frequency pairing in superconducting systems
AU  - Florian Kayatz
AU  - Annica M. Black-Schaffer
AU  - Jorge Cayao
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24827
UR  - https://arxiv.org/abs/2609.24827
AB  - Odd-frequency superconducting pairing has been predicted to arise in many systems and is known to lead to phenomena such as paramagnetic Meissner response and long-range superconducting proximity effect. Here, we provide generalized necessary and sufficient conditions for odd-frequency pairing appearing in any superconducting system, from bulk superconductors to superconducting hybrid structures. This generalizes an earlier first-order expression in multiband bulk superconductors to all superconducting systems and to all orders, in both order parameter and frequency. We then apply the derived conditions to several systems, including superconducting-ferromagnet and superconducting Josephson junctions, as well as a transition metal dichalcogenide monolayer proximitized by a conventional superconductor, where the generalized conditions are used to understand the properties of the superconducting state.
ER  -