The biexciton states in InxGa1-xAs quantum wells of varying widths have bee
n studied by spectrally resolved and time-integrated four-wave mixing in ma
gnetic fields up to B = 8 T. Surprisingly, the biexciton binding energy is
found to be independent of the field strength. These results challenge theo
retical descriptions of the biexciton wave function. Furthermore, the polar
ization selection rules for the biexcitonic contributions to the four-wave
mixing are left unchanged by B, in contrast to the excitonic signal.