Surface electronic structure of a semi-infinite polytype superlattice
(SL) with period consisting of three different layers (the so-called s
tep-well basis) is investigated using a transfer-matrix approach withi
n an effective-mass approximation. Explicit analytical formulas for th
e bulk dispersion relation as well as the energy expression and existe
nce condition for surface states are given for arbitrary terminating m
edium and their simplification for particular SL terminations by a sub
strate identical to one of the SL constituents is discussed. Dependenc
e of surface-state properties (i.e., its energy position and the degre
e of localization) on SL parameters (i.e., layer thicknesses and poten
tial barrier heights) and different surface configurations (depending
on a sequence of SL layers approaching the surface as well as on the c
hoice of substrate) is studied for a triple-constituent AlxGa1-xAs-bas
ed SL. Additionally, surface-state wave functions are plotted in order
to examine the associated space-charge distributions.