Intrinsic layer-polarized anomalous Hall effect in bilayer MnBi2Te4

Layer-polarized anomalous Hall effect (LPAHE) is an attractive phenomenon in condensed-matter physics from the standpoints of both fundamental interest and device applications. The current LPAHE research is based on the extrinsic paradigm of using external electric fields, in which the generation and control of LPAHE are not straightforward. Here, we propose a mechanism that realizes intrinsic LPAHE in bilayer lattices, through the mediation of sliding physics and Berry curvature. Moreover, this mechanism can render the LPAHE in a controllable and reversible fashion. We analyze the symmetry requirements for a system to host such intrinsic LPAHE. Its validity is further demonstrated in a real material of bilayer $\mathrm{Mn}{\mathrm{Bi}}_{2}{\mathrm{Te}}_{4}$. By stacking with broken inversion symmetry, the layer-locked Berry curvature enables the intrinsic LPAHE in bilayer $\mathrm{Mn}{\mathrm{Bi}}_{2}{\mathrm{Te}}_{4}$, and the switchable control of its LPAHE is achieved by sliding ferroelectricity. Our work opens a significant alternative direction for LPAHE and two-dimensional materials research.