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For layered structures with layer widths larger
than 3~4 lattice constants, the program FEMB provides an 8-band k.P
bulk band structure model for the individual layers made up of
compound semiconductors belonging to the groups III-V and II-VI of the
periodic table of elements, and having a direct energy gap. The
enormous flexibility of the FINITE ELEMENT METHOD is implemented in
this program delivering exceptionally high accuracy; it can be used to
calculate energy levels, wavefunctions, optical matrix elements, in
Quantum Wells and Superlattices, and tunneling probability in Resonant
Tunneling structures.
TBM_ONE is an
efficient program based on TIGHT-BINDING models for investigating
opto-electronic properties of monolayer-based or short-period
superlattice structures. It incorporates the effects of the full
Brillouin zone of the bulk energy bands. Zone-folding effects with
indirect band gap III-V materials in layers can be accounted for.
Also, we can calculate the band structures of superlattices of IV-VI
materials with Pb-based semiconductors. The optical matrix elements
are evaluated using the FEYNMAN - HELLMAN theorem, so that they are
self-consistent with the band parameters, without additional fits.
The two programs are compared below in a tabular form.
| FEMB | TMB_ONE |
|---|---|
| Based on the k.P 8-band Model within a high precision Finite Element procedure. | Based on the sp3s* second-nearest neighbor Tight Binding Model for II-VI and III-V materials, and a sp3d5 model for IV-VI semiconductors. |
| Includes strain in layered pseudomorhpic structures from lattice mismatch | Includes strain effects from lattice mismatch in layered pseudomorphic structures |
| Growth directions along (001),(011),(111),(211),... in short along any crystallographic direction. | Growth directions along (001),(011),(111). |
| Any III-V and II-VI direct gap compound binary, ternary, or quaternary semiconductors in the layers. Also, layers with magnetic impurities. | Any direct or indirect gap elemental (group IV), compound binary, ternary, or quaternary semiconductors from the groups III-V and II-VI, and Pb-based semiconductors from IV-VI elements. |
| Brillouin zone-folding effects include only G- point. | Brillouin zone-folding effects include the entire zones of the bulk materials. |
| Energy levels, wavefunctions, and transition matrix elements for SLs and QWs. Multiband resonant tunneling transmission coefficient in RT structures. | Energy levels, wavefunctions, and transition matrix elements for SLs and QWs. |
| Layer thickness limited only by envelope function theory. | Monolayer, or short-period SLs, up to 100 monolayers (limited only by CPU). |
| Effects of external E-field along growth direction, B-field along growth direction (Faraday geometry), or B-field along inplane direction(Voight geometry). | |
| Selfconsistent solution of Poisson-Schrodinger equations (one-band) in modulation doped structures. |