Using a combination of the standard Hall technique and the photoluminescenc
e imaging of galvanomagentic transport, free-electron density and mobility
have been measured in the regime of filamentary current flow after the elec
tric breakdown of n-GaAs at the temperature of liquid helium. The data show
good agreement with those acquired by the geometrical magnetoresistance ef
fect and by the optical Hall angle measurement. By comparing the mobilities
obtained by independent techniques, arguments have been found indicating s
ignificant neutral impurity scattering in the post-breakdown regime. In the
pre-breakdown regime variable range hopping has been concluded as the domi
nant transport mechanism.