Rhombohedral Multilayer Graphene as a p-Wave Magnet

@misc{eto2026rhombohedral,
  title = {{Rhombohedral Multilayer Graphene as a $p$-Wave Magnet}},
  author = {Rintaro Eto and Johannes Knolle},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14705},
  eprint = {2609.14705},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14705},
}

TY  - UNPB
TI  - Rhombohedral Multilayer Graphene as a p-Wave Magnet
AU  - Rintaro Eto
AU  - Johannes Knolle
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14705
UR  - https://arxiv.org/abs/2609.14705
AB  - We propose rhombohedral multilayer graphene in an applied in-plane magnetic field as a highly tunable platform for nonrelativistic collinear p-wave magnetism. The orbital coupling to the magnetic field breaks time-reversal symmetry and, together with interaction-driven layer antiferromagnetism, generates an odd-in-momentum spin splitting without relying on spin-orbit coupling. Using a minimal low-energy effective theory, we show that the resulting p-wave spin splitting is strongly enhanced with increasing layer number. This enhancement originates from the surface-localized nature of the low-energy states and their layer-dependent orbital coupling to the in-plane field. The Zeeman coupling only weakly perturbs this predominantly orbital-field-induced mechanism. We further estimate stability of the p-wave magnetism under hole-doping and distinct transport signature using a more realistic Hubbard model. Our results establish orbital coupling to an external magnetic field as a controllable route to odd-parity spin splitting in collinear magnets.
ER  -