Confinement of charge carriers in gapped bilayer graphene within magnetic and electrostatic barriers.

We explore the transport behavior of charge carriers in gapped bilayer graphene under a perpendicular magnetic field and electrostatic barriers. Using the Hamiltonian of the four low-energy bands of bilayer graphene, we compute the transmission probability and the associated conductance via the transfer matrix method. Our investigation reveals that altering the gap parameter (Δ), the energy (E), the number of magnetic barriers (N) and the magnetic field strength (B) changes the range of incident angles, resulting in a wave-vector filtering effect. These parameters also influence the forbidden zones of transmission and conductance in the magnetic system. A forbidden zone exists for [Formula: see text]. For a multibarrier structure with [Formula: see text], another forbidden zone appears for [Formula: see text], along with resonance effects and conductance oscillations as functions of N and E. A strong wave-vector filtering effect is observed for specific values of Δ and E. The Klein tunneling occurs for [Formula: see text] at low values of E and Δ. By focusing on the resonances in transmission and the oscillatory behavior of conductance with N, E and Δ, we can confine charge carriers within the studied magnetic bilayer graphene by efficiently adjusting these parameters. The perfect transmission is observed for appropriate values of the electrostatic barrier height and the widths of magnetic and non-magnetic regions. The conductance is suppressed when N, Δ or B exceed their critical values.