Chiral Superconductivity Adjacent to a Wigner Crystal in Rhombohedral Graphene
Abstract
It was experimentally observed that Wigner-crystal and chiral superconducting phases occur adjacent to each other in rhombohedral graphene. In this Letter, we explore electronic correlations underlying the two phases and identify the pairing mechanism of chiral superconductivity. Exchange correlations play an essential role in both phases. First, we use self-consistent Hartree-Fock calculations to identify a Wigner-crystal state. Second, to investigate the pairing mechanism, we go beyond charge screening and construct a particle-hole-renormalized interaction through the coupled parquet and Bethe-Salpeter equations. This interaction incorporates exchange correlations while preserving crossing symmetry. Within this framework, we find that electronic correlations in the quarter metal are strongly enhanced near the crystal phase boundary, generating an effective attraction that favors superconducting pairing. Consequently, chiral superconductivity (CSC) emerges in a narrow sliver adjacent to the crystal. Furthermore, we identify the winding number of the superconducting order parameter as −3, indicating its f-wave nature. These results connect the emergence of chiral pairing and its location in the phase diagram to the electronic correlations favoring crystallization.
Related
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- Valley-Helical Superconductivity Driven by Repulsion and Quantum Geometry: Applications to Time-Reversal Symmetric Rhombohedral Graphene
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BibTeX
@misc{wang2026chiral,
title = {{Chiral Superconductivity Adjacent to a Wigner Crystal in Rhombohedral Graphene}},
author = {Ke Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33808},
eprint = {2610.33808},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33808},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Chiral Superconductivity Adjacent to a Wigner Crystal in Rhombohedral Graphene
AU - Ke Wang
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33808
UR - https://arxiv.org/abs/2610.33808
AB - It was experimentally observed that Wigner-crystal and chiral superconducting phases occur adjacent to each other in rhombohedral graphene. In this Letter, we explore electronic correlations underlying the two phases and identify the pairing mechanism of chiral superconductivity. Exchange correlations play an essential role in both phases. First, we use self-consistent Hartree-Fock calculations to identify a Wigner-crystal state. Second, to investigate the pairing mechanism, we go beyond charge screening and construct a particle-hole-renormalized interaction through the coupled parquet and Bethe-Salpeter equations. This interaction incorporates exchange correlations while preserving crossing symmetry. Within this framework, we find that electronic correlations in the quarter metal are strongly enhanced near the crystal phase boundary, generating an effective attraction that favors superconducting pairing. Consequently, chiral superconductivity (CSC) emerges in a narrow sliver adjacent to the crystal. Furthermore, we identify the winding number of the superconducting order parameter as −3, indicating its f-wave nature. These results connect the emergence of chiral pairing and its location in the phase diagram to the electronic correlations favoring crystallization.
ER -