Probing the percolation in the quantum anomalous Hall insulator

Abstract The percolation plays an essential role in the physics of plateau transition, localization, and breakdown quantum Hall (QH) systems. In practice, it always exists probably due to sample imperfections has be addressed before realizing full potentials topological electronics qubits. Here, we investigate cause, distribution, number a anomalous (QAH) insulator anti-Hall bar geometry with two perimeters, which allows for probing both inter- intra-perimeter percolations by injecting currents into either or perimeters. We discover dual-QAH effect opposite chiralities from these exhibits linear modulations applied By solving formulation such Landauer–Büttiker formalism, distribution inter-perimeter percolative channels could identified. Strikingly, dissipative constituent is detected transport QAH state, as revealed scalings longitudinal conductivities versus sum injected similar that trivial-insulating state. Such behavior unveils quasi-2D nature percolation, superimposes onto perturbs dissipationless chiral edge transport. formation ascribed joint electric field, finite conductivity, imperfections.