The paper investigates how fluctuations in the lattice structure, namely the width of the conducting miniband, affect the current flowing through a semiconductor superlattice. To solve this problem, a numerical calculation model is proposed that makes it possible to calculate the current for random changes in the miniband width in the superlattice layers, both in the case of an inclined magnetic field and without it. In order to evaluate the change in current, two integral characteristics were introduced: one for the shape of the current-voltage characteristic, the second for the amplitude of high-frequency current oscillations. The integral characteristics ranked in ascending order make it possible to approximately approximate the variability of the characteristics of the current flowing through a semiconductor superlattice for various fluctuations of the lattice structure.
05.45.-a Nonlinear dynamics and chaos
73.21.-b Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems
$^1$Saratov State University named after N.G.Chernyshevsky
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