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We study spin-orbit proximity effects in a hybrid heterostructure build of aone-dimensional (1D) armchair carbon nanotube and two-dimensional (2D) buckledmonolayer bismuthene. We show, by performing first-principles calculations,that Dirac electrons in the nanotube exhibit large spin-orbit coupling due to aclose vicinity of bismuthene. The calculated low-energy band structures of theproximized nanotube display a strong dependence on the position of the nanotubeon the substrate, similar to twist-angle dependence found in 2Dheterostructures. Based on the first-principles results, we formulate aneffective low-energy Hamiltonian of the nanotube and identify key interactionsgoverning the proximity spin-orbit coupling. The proximity-induced spinsplitting of Dirac cone bands is in meV range, confirming an efficient transferof spin-orbit coupling from bismuthene to the nanotube.

Proximity spin-orbit coupling in an armchair carbon nanotube on monolayer bismuthene