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Magnetization-induced phase transitions on the surface of three-dimensional topological insulators

Magnetization-induced phase transitions on the surface of three-dimensional topological insulators

From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in three-dimensional (3D) topological insulators (TIs), resulting in a half-quantized Hall conductance. Here, by employing the realistic lattice model, we show the occurrence of the surface phase transitions, accompanied by the sharp …