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In this work, we have studied the spin-dependent ballistic transport andanomalous quantum tunnelling in Bilayer Graphene (BLG) hybrid connected to twoRashba-Zeeman (RZ) leads under an external electric biasing. We investigatedthe transmission and conductance for the proposed system using scatteringmatrix formalism and Landauer - Buttiker formula considering a doubledelta-like barrier under a set of experimentally viable parameters. We foundthat the transmission characteristics are notably different for up and downspin incoming electrons depending upon the strength of magnetization. Moreover,the transmission of up and down spin electrons is found to be magnetizationorientation dependent. The maximum tunnelling and conductance can be achievedby tuning biasing energy and magnetization strength and choosing a materialwith suitable Rashba Spin-Orbit Coupling (RSOC). This astonishing property ofour system can be utilized in fabricating devices like spin filters. We foundthe Fano factor of our system is 0.4 under strong magnetization conditionswhile it reduces to 0.3 under low magnetization conditions. Moreover, we alsonoticed that the transmission and conductance significantly depend on theRashba - Zeeman effect. So, considering a suitable RZ material, the tunnellingof the electrons can be tuned and controlled.

Ballistic transport and spin dependent anomalous quantum tunnelling in Rashba-Zeeman and bilayer graphene hybrid structures