Real-space chirality from crystalline topological defects in the Kitaev spin liquid

We show that certain crystalline topological defects in the spin-1/2 gapless Kitaev honeycomb spin liquid model generate a chirality that depends in a universal manner on their emergent flux. Focusing on 5-7 dislocations as building blocks, consisting of pentagon and heptagon disclinations, we identify the Kitaev bond label configurations that preserve solvability. We define and compute multiple formulations of local Chern markers, and use these to define a "Chern charge" contribution associated with each disclination.