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• W2558917717 abstract "The Chern-Simons axion coupling of a bulk insulator is only defined modulo a quantum of ${e}^{2}/h$. The quantized part of the coupling is uniquely defined for a bounded insulating sample, but it depends on the specific surface termination. Working in a slab geometry and representing the valence bands in terms of hybrid Wannier functions, we show how to determine that quantized part from the excess Chern number of the hybrid Wannier sheets located near the surface of the slab. The procedure is illustrated for a tight-binding model consisting of coupled quantum anomalous Hall layers. By slowly modulating the model parameters it is possible to transfer one unit of Chern number from the bottom to the top surface over the course of a cyclic evolution of the bulk Hamiltonian, changing the surface anomalous Hall conductivity by a quantum of conductance ${e}^{2}/h$. When the evolution of the surface Hamiltonian is also cyclic, the Chern pumping is obstructed by chiral touchings between valence and conduction surface bands." @default.
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• W2558917717 date "2017-02-21" @default.
• W2558917717 modified "2023-09-28" @default.
• W2558917717 title "Surface theorem for the Chern-Simons axion coupling" @default.
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• W2558917717 doi "https://doi.org/10.1103/physrevb.95.075137" @default.
• W2558917717 hasPublicationYear "2017" @default.
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