The electronic structures of cubic InGaN systems are calculated using an at
omistic empirical pseudopotential method. Two extreme cases are studied. On
e is a pure InN quantum dot embedded in a pure GaN matrix, another is a pur
e InxGa1-xN alloy without clustering. We find hole localizations in both ca
ses. The hole wave function starts to be localized as soon as a few In atom
s segregate to form a small cluster, while the electron wave function only
becomes localized after the number of In atoms in the quantum dot becomes l
arger than 200. The hole state is also strongly localized in a pure InxGa1-
xN ahoy, on top of randomly formed (110) directioned In-N-In chains. Using
one proposed model, we have calculated the hole energy fluctuation, and rel
ated that to photoluminescence linewidth. The calculated Linewidth is about
100 meV, close to the experimental results. Wurtzite InGaN is also studied
for optical anisotropies. We find that in both quantum dot and pure alloy,
the polarization is in the xy plane perpendicular to the c axis of the wur
tzite structure.