- Letter
Single pair of double-Weyl fermions in an all- carbon allotrope
Phys. Rev. B 113, L121109 – Published 31 March, 2026
DOI: https://doi.org/10.1103/n5vp-4kt4
Abstract
The realization of a Weyl semimetal hosting a minimal single pair of Weyl points (WPs) is a long-standing goal for fundamental studies of chiral fermions, yet remains elusive in nonmagnetic electronic materials. Here, through first-principles calculations and symmetry analysis, we propose a stable, all- hybridized three-dimensional carbon allotrope, . Crucially, its low-energy bands host exactly one pair of WPs at the time-reversal-invariant momenta and M, carrying topological charge , with the sign of the charge tied to the structural chirality. These WPs exhibit characteristic anisotropic dispersions, linear along the -rotation axis and quadratic in the plane perpendicular to this axis, and are protected by -rotation and time-reversal symmetries. The calculated surface states exhibit ultralong double-Fermi arcs connecting the projections of and M, spanning the entire surface Brillouin zone and providing unambiguous signatures for experimental verification. Our work not only expands the landscape of topological quantum states but also offers a nonmagnetic electronic platform for exploring the physics associated with minimal double-Weyl fermions.