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PreprintCC BY 4.0arXiv

Superconductivity in a Two-Orbital Hatsugai-Kohmoto Model at Half Filling

  • Nico Hahn
  • R. Matthias Geilhufe
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Abstract

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity emerging from a half-filled normal state in a two-orbital extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with momentum-local interactions, which provides a minimal framework to explore the interplay of strong correlations, orbital structure and pairing symmetry. For a system with point-group symmetry D4h, we classify the symmetry-allowed superconducting gap structures, taking into account spin, orbital and momentum degrees of freedom. We further compute the critical temperature and the superconducting order parameter for selected pairing channels as functions of interaction and pairing strength within a mean-field treatment. Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.

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Cite

BibTeXRIS
BibTeX
@misc{hahn2026superconductivity,
  title = {{Superconductivity in a Two-Orbital Hatsugai-Kohmoto Model at Half Filling}},
  author = {Nico Hahn and R. Matthias Geilhufe},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.13259},
  eprint = {2605.13259},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.13259},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Superconductivity in a Two-Orbital Hatsugai-Kohmoto Model at Half Filling
AU  - Nico Hahn
AU  - R. Matthias Geilhufe
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2605.13259
UR  - https://arxiv.org/abs/2605.13259
AB  - Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity emerging from a half-filled normal state in a two-orbital extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with momentum-local interactions, which provides a minimal framework to explore the interplay of strong correlations, orbital structure and pairing symmetry. For a system with point-group symmetry D_4h, we classify the symmetry-allowed superconducting gap structures, taking into account spin, orbital and momentum degrees of freedom. We further compute the critical temperature and the superconducting order parameter for selected pairing channels as functions of interaction and pairing strength within a mean-field treatment. Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.
ER  -