Improved Airy function formalism for study of resonant tunneling in multibarrier semiconductor heterostructures

Abstract

We show that our exact one-dimensional Airy function formalism for studying electron resonant tunneling in multibarrier semiconductor heterostructures is an improvement on a previous calculation of Brennan and Summers [J. Appl. Phys. 61, 614 (1987)]. We also clearly demonstrate that our method gives better agreement with the numerical approach of Vassell, Lee, and Lockwood [J. Appl. Phys. 54, 5206 (1983)] in calculating the transmission coefficient T(E) and current density J(E) for multibarrier semiconductor heterostructures.

Nature of the eigenstates in the miniband of random dimer-barrier superlattices

“…Therefore, these situations, have motivated us to examine numerically, using the transfer matrix formalism [43][44][45], the effects of random dimmer-barrier superlattices (RDBSL) on the nature of the eigenstates of 1D-disordered SL according to the corresponding conductance distribution regime.…”

Study on photoemission mechanism for negative electron affinity GaN vacuum electron source

“…Knowing the electron energy and the shape of surface potential, according to onedimensional Schrödinger equation, the transmission coefficient that the photoelectron passes through the surface potential can be received. The one-dimensional Schrödinger equation can be solved with transfer matrix method based on Airy function [13][14][15], consequently the transmission coefficient can be described quantificationally. The widths of potential I and II are expressed by b and c respectively, and end heights are expressed by V 2 and V 3 respectively.…”

Spin-dependent resonant tunneling in ZnSe/ZnMnSe heterostructures

“…The wave functions and their first derivatives in the five regions are matched at the interfaces between the regions. The matching results in a system of equations, which can be represented in a matrix form [21],…”