  We present a comment on "Spin-Momentum-Locked Edge Mode for Topological
Vortex Lasing, Phys. Rev. Lett. vol. 125, 013903 (2020)"(hereafter the
Letter).In the Letter, Yang et al. reported on an elegant topological vortex
laser and proposed that the near-field spin and OAM of the topological edge
mode lasing have a one-to-one far-field radiation correspondence. The
near-field information is based on frequency dispersions of the topological
edge modes, without supporting measurements and/or computer simulations.
Unfortunately, their frequency dispersions shown in Fig. 1(c) (see also Fig. S6
and Eqs. (5.3) and (5.4) in Supplemental Material) are wrong. As the result,
the mode assignment of the main mode |-2,+> investigated in the Letter is
mistaken, which should be |2,+>. This spoils the one-to-one correspondence
claimed in the Letter.
