“…As we known, lattice constants of many superlattice materials are in the same order of magnitude as electron wavelength, so quantum effect becomes significant in the related works. Research on electron wave propagation through a series of potential barriers, as a fundamental problem of quantum mechanics, is widely applied to study electronic transport properties in synthetic materials, including the electron wave propagation in doped semiconductor superlattice materials with nonlinearity [1,[4][5][6][7][8][9][10][11][12]. Many interesting phenomena are found, such as the localization or superlocalization properties [9,10,[12][13][14][15], resonant tunneling of electron wave [8,12,[16][17][18], multistability in the current-voltage characteristics [7] and chaotic behavior caused by nonlinearity [4,6,[19][20][21][22].…”