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Gapless hinge states from adiabatic pumping of axion coupling
Physical review B
We demonstrate that chiral hinge modes naturally emerge in insulating crystals undergoing a slow cyclic evolution that changes the Chern-Simons axion angle θ by 2π . This happens when the surface (not just the bulk) returns to its initial state at the end of the cycle, in which case it must pass through a metallic state to dispose of the excess quantum of surface anomalous Hall conductivity pumped from the bulk. If two adjacent surfaces become metallic at different points along the cycle, theredoi:10.1103/physrevb.102.035166 fatcat:y4hkmff2rzdz7gqmw2vb752xhi