Transmission Resonance Pattern in Finitely Periodic Simple Impurity Doped Superlattice Structures

Abstract

The resonance spectrum of a finitely periodic superlattice system is analysed for the special case where each period is made up of N identical "structure" potential cells terminated by one different "impurity" cell. It is shown that the effect of the impurity is to re-group the resonances of the corresponding "undoped" structure, in which all "impurity" cells are replaced by "structure" cells. The close relation to band splitting in the infinitely periodic limit is discussed.Das Resonanzspektrum eines endlichen periodischen Superlattice-Systems wird analysiert fur den besonderen Fall, daR jede einzelne Periode aus N identischen ,,Struktur"-Potentialzellen endend mit einer anderen ,,Fremdatomzelle" besteht. Es wird gezeigt, daR die Wirkung des Fremdatoms darin besteht, die Resonanzen der entsprechenden undotierten Struktur neu zu gruppieren, so daR alle ,,Fremdatomzellen" durch ,,Struktur"-Zellen ersetzt werden. Die nahe Beziehung zur Bandaufspaltung fur den unendlichen periodischen Grenzfall wird diskutiert.

Theory of surface and interface transverse elastic waves inN-layer superlattices

“…8 Almost all the above cited papers rederive this dispersion relation for Nϭ3 or 4 and even 10 for Nϭ6. A few papers 9,11,14,22 address this question for any value of N with different recursive methods but without reaching the explicit expression given in Ref. 8.…”

Resonant tunneling in periodic multiple-barrier structures with compound-barrier unit

“…Since the first demonstration of resonant tunneling in double barrier GaAlAs heterostructures [1], the resonant tunneling phenomena in double-barrier and quantum-well structures have been extensively studied [2][3][4][5][6][7][8][9][10][11][12]. Analytical expressions for the transmission coefficient and for the resonance condition in a rectangular n-fold barrier structure have been reported [6], and some quantum-well structures with quasi-periodic barriers have also been investigated [9][10][11].…”

“…Analytical expressions for the transmission coefficient and for the resonance condition in a rectangular n-fold barrier structure have been reported [6], and some quantum-well structures with quasi-periodic barriers have also been investigated [9][10][11]. In this paper, analytical expressions for the transmission coefficient and for the resonance condition are given for a periodic barrier structure with arbitrary potential profile, using generalized-barrier parameters [12,13].…”