Extended Data Fig. 9: Chiral edge states on a Jackiw–Rebbi-type interface enabled by non-Abelian scalar lattice gauge potentials.
From: Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions
(a) The lattice model under consideration. In the red, top-left region of the lattice, the scalar potential is +A0, and in the blue, bottom-right region the scalar potential is −A0. Here we take Ax = (π/2)σz, Ay = (π/2)σx, and A0 = 0.1σy + 0.75σz. (b) Projected band structure of the lattice model. \({k}_{{\rm{p}}}=({k}_{x}+{k}_{y})/\sqrt{2}\) is the wavevector parallel to the interface along the (11) direction. Chiral edge states are observed in the band gap. (c) Profile of the eigenstate at \({k}_{{\rm{p}}}=0.1{\rm{\pi }}/\sqrt{2}\) and E = 0.13, as indicated by the black star in (b). The left side of the plot represents the normalized amplitudes of the spin-down component of the eigenstate, and the right side represents those of the spin-up component. The interface is placed at lattice site number = 0.
