  Layer-polarized anomalous Hall effect (LP-AHE) is an attractive phenomenon in
condensed-matter physics from the standpoints of both fundamental interest and
device applications. The current LP-AHE research is based on the extrinsic
paradigm of using external electric fields, in which the generation and control
of LP-AHE are not straightforward. Here, we propose a novel mechanism that
realizes intrinsic LP-AHE in bilayer lattices, through the mediation of sliding
physics and Berry curvature. Moreover, this mechanism could render the LP-AHE
in a controllable and reversable fashion. We analyze the symmetry requirements
for a system to host such intrinsic LP-AHE. Its validity is further
demonstrated in a real material of bilayer MnBi2Te4. By stacking with broken
inversion symmetry, the layer-locked Berry curvature enables the intrinsic
LP-AHE in bilayer MnBi2Te4, and the switchable control of its LP-AHE is
achieved by sliding ferroelectricity. Our work opens a significant new
direction for LP-AHE and two-dimensional (2D) materials research.
