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Competition between on-site and off-site pairing phases and surface spectra in superconducting wallpaper fermion systems

  • Kaito Yoda
  • Ai Yamakage
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Abstract

We theoretically investigate the competition between on-site and off-site pairings in superconducting topological crystalline insulators hosting wallpaper fermions, a class of surface states protected by nonsymmorphic symmetries. In-plane nearest-neighbor pair hopping stabilizes the A1u phase, while off-site pairing channels yield additional dominant phases with B2u and Eu representations. We further show that the B2u pairing state supports the hybridization between wallpaper-fermion spectra themselves, whereas a representative time-reversal-invariant nematic Eu state exhibits spectral hybridization between wallpaper fermion and double Majorana Kramers pairs, yielding twisted surface energy spectra. These results demonstrate that the twisted dispersions arising from hybridization phenomena persist in the presence of off-site pairing interactions.

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Cite

BibTeXRIS
BibTeX
@misc{yoda2026competition,
  title = {{Competition between on-site and off-site pairing phases and surface spectra in superconducting wallpaper fermion systems}},
  author = {Kaito Yoda and Ai Yamakage},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29691},
  eprint = {2608.29691},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29691},
}
RIS
TY  - UNPB
TI  - Competition between on-site and off-site pairing phases and surface spectra in superconducting wallpaper fermion systems
AU  - Kaito Yoda
AU  - Ai Yamakage
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29691
UR  - https://arxiv.org/abs/2608.29691
AB  - We theoretically investigate the competition between on-site and off-site pairings in superconducting topological crystalline insulators hosting wallpaper fermions, a class of surface states protected by nonsymmorphic symmetries. In-plane nearest-neighbor pair hopping stabilizes the A_1u phase, while off-site pairing channels yield additional dominant phases with B_2u and E_u representations. We further show that the B_2u pairing state supports the hybridization between wallpaper-fermion spectra themselves, whereas a representative time-reversal-invariant nematic E_u state exhibits spectral hybridization between wallpaper fermion and double Majorana Kramers pairs, yielding twisted surface energy spectra. These results demonstrate that the twisted dispersions arising from hybridization phenomena persist in the presence of off-site pairing interactions.
ER  -