ANALYTICAL DESCRIPTIONS OF THE BAND-STRUCTURE OF DIRECT-BAND-GAP ZINC-BLENDE-STRUCTURE SEMICONDUCTORS IN THE K.P KANE MODEL

In the framework of the well-known k.p Kane band theory, accurate analytical approximations of conduction- and valence-band dispersion of direct-band-gap zine-blende-structure semiconductors are derived when the spin-orbit-splitting energy does not exceed the band-gap energy. These approximations include the interactions with the remote bands. The expressions of the eigenfunctions are also obtained. The present analysis elucidates and unifies previous analytical band descriptions.