Semi-insulating GaAs shows current oscillations if a high dc voltage is app
lied to a sample. These oscillations are caused by traveling high-electric-
field domains that are formed as a result of electric-field-enhanced electr
on trapping. This article describes the various types of experiments that h
ave been carried out with this system, including recent ones that use the e
lectro-optic Pockels effect in order to measure the local electric fields i
n the sample in a highly accurate manner. An historical overview of the the
oretical developments is given and shows that no satisfying theory is curre
ntly available. A list of all the required ingredients for a successful the
ory is provided and the experimental data are explained in a qualitative ma
nner. Furthermore, the main electron trap in semi-insulating GaAs is the na
tive defect EL2, the main properties of which are described. (C) 2001 Ameri
can Institute of Physics.