Hybrid high electron mobility field-effect transistors including inorganic channels and organic gate barrier layers are used in some applications for forming high resolution active matrix displays. Arrays of such high electron mobility field-effect transistors are electrically connected to thin film switching transistors and provide high drive currents for passive devices such as organic light emitting diodes. The organic gate barrier layers are operative to suppress both electron and hole transport between the inorganic channel layer and the gate electrodes of the high electron mobility field-effect transistors.