Variational Monte Carlo Study of Superconductivity in a Correlated System with Broken Inversion Symmetry

@misc{imazu2026variational,
  title = {{Variational Monte Carlo Study of Superconductivity in a Correlated System with Broken Inversion Symmetry}},
  author = {Tsuyoshi Imazu and Katsunori Kubo},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05964},
  eprint = {2611.05964},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05964},
}

TY  - UNPB
TI  - Variational Monte Carlo Study of Superconductivity in a Correlated System with Broken Inversion Symmetry
AU  - Tsuyoshi Imazu
AU  - Katsunori Kubo
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05964
UR  - https://arxiv.org/abs/2611.05964
AB  - Unconventional superconductivity in systems with broken inversion symmetry has attracted considerable interest because antisymmetric spin-orbit coupling (ASOC) can strongly affect the spin structure and stability of superconducting states. In this study, we investigate superconductivity in a correlated system with the symmetry of a honeycomb network using the variational Monte Carlo method. We consider a single-band Hubbard model including an on-site Coulomb interaction U and ASOC with coupling strength λ, and compare several pairing states with different pairing symmetries. The trial wave functions are constructed from particle-number- and Gutzwiller-projected BCS states. To examine the energetic stability of each pairing state, we calculate the variational energy as a function of the gap amplitude, while optimizing the variational parameter μ and the Gutzwiller parameter g for each gap amplitude. At U/t = 10, the f-wave state has the lowest variational energy for λ/t = 0, whereas the chiral p-wave state becomes the most energetically favorable for λ/t = 0.1. These results indicate that ASOC strongly affects the competition among superconducting pairing states in the presence of strong electron correlations.
ER  -