Abstract
A stationary model is proposed for calculating the tunneling current in a vacuum resonant-tunneling triode and tetrode with control grids. The model is based on the solution of the stationary Schrödinger equation by the method of transfer matrices with the calculation of the potential energy profile in a structure with several electrodes by the method of multiple images. The model provides for the inclusion of one or two grids in the structure, particularly of those under the same voltage. For such a structure with a double quantum well, resonant tunneling is obtained and the possibility of the existence of current densities up to 1013 A/m2 is shown. The structures can be used as high-current sources or as elements of oscillator circuits.
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