Computation of transmission coefficient of double triangular quantum well for different dispersion relations

Transmission coefficient of double quantum well triple barrier structure with triangular geometry is numerically computed for non-parabolic band structure, and result is compared with that obtained for parabolic dispersion relation. Propagation matrix method is used for computation, and GaAs/Al_xGa_1-x As material system is considered for simulation purpose with the consideration that variation of AlAs percentage is limited for type-I hetero structure formation. Thickness of different layers is varied to observe the variation of transmission probability, and material composition of barrier layer is also varied. Ben Daniel Duke boundary condition is incorporated for taking into account the effective mass mismatch at each junction, and also of the conduction band discontinuity at well-barrier interface. Overestimated parabolic assumption shows that Eigen energy value increases compared to the value obtained for realistic band structure, which is inaccurate as far as resonant tunneling phenomenon is concerned. Effect of electric field is also estimated for low bias applications.