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PreprintCC BY 4.0arXiv

Re-entrant p-wave superconductivity in a Chern Dartboard Insulator

  • Yueyang Wu
  • Rebecca Chan
  • Taylor L. Hughes
  • Philip W. Phillips
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Abstract

We formulate an exact theory for a 2-band superconductor with inter-orbital pairing and band Hatsugai-Kohmoto (HK) interactions. We apply this theory to a Chern dartboard insulator and compute the pair susceptibility and pair correlations analytically. We find that in the insulating phase previously predicted by BCS theory (small pairing strength g, chemical potential μ in the gap), the HK interaction can induce superconductivity, and possibly a Chern dartboard superconductor, by lifting the doubly-occupied band and making it cross the chemical potential. From this HK-induced superconductor, we notice that in a significant parameter range (HK interaction strength U = 1, μ= 0.5), an insulator-superconductor-insulator re-entrant transition exists. We isolate the re-entrance to a conflation between HK interactions and inter-orbital pairings.

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Cite

BibTeXRIS
BibTeX
@misc{wu2026reentrant,
  title = {{Re-entrant p-wave superconductivity in a Chern Dartboard Insulator}},
  author = {Yueyang Wu and Rebecca Chan and Taylor L. Hughes and Philip W. Phillips},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.25205},
  eprint = {2609.25205},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25205},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Re-entrant p-wave superconductivity in a Chern Dartboard Insulator
AU  - Yueyang Wu
AU  - Rebecca Chan
AU  - Taylor L. Hughes
AU  - Philip W. Phillips
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.25205
UR  - https://arxiv.org/abs/2609.25205
AB  - We formulate an exact theory for a 2-band superconductor with inter-orbital pairing and band Hatsugai-Kohmoto (HK) interactions. We apply this theory to a Chern dartboard insulator and compute the pair susceptibility and pair correlations analytically. We find that in the insulating phase previously predicted by BCS theory (small pairing strength g, chemical potential μ in the gap), the HK interaction can induce superconductivity, and possibly a Chern dartboard superconductor, by lifting the doubly-occupied band and making it cross the chemical potential. From this HK-induced superconductor, we notice that in a significant parameter range (HK interaction strength U = 1, μ= 0.5), an insulator-superconductor-insulator re-entrant transition exists. We isolate the re-entrance to a conflation between HK interactions and inter-orbital pairings.
ER  -