Abstract
We theoretically predict that thin-film topological crystalline insulators can host various quantum anomalous Hall phases when doped by ferromagnetically ordered dopants. Any Chern number between ±4 can, in principle, be reached as a result of the interplay between (a)the induced Zeeman field, depending on the magnetic doping concentration, (b)the structural distortion, either intrinsic or induced by a piezoelectric material through the proximity effect, and (c)the thickness of the thin film. We propose a heterostructure to realize quantum anomalous Hall phases with Chern numbers that can be tuned by electric fields.
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