Suppression of the tunneling current in a bilayer electron system

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Abstract
In this work, we have numerically integrated the effective-mass nonlinear Schrödinger equation for an electron wave packet in a bilayer electron system in space and time. Due to the nonlinear effective-mass equation, it is found that the charge dynamically trapped in both wells produces a reaction field which modifies the system resonant condition. Considering an electron-electron interaction, we have calculated the tunneling times between the two quantum wells when a change of carrier density is induced in one quantum well. At large electronic sheet densities, we have also shown the possibility of having a suppression of the tunneling current due to nonlinear effects.