Lateral barriers in a two-dimensional electron gas were fabricated by
laser-induced doping of GaAs/AlGaAs quantum well structures. The barri
er heights of these insulating lines were analyzed as-a function of vo
ltage by temperature-dependent current measurements. The barrier heigh
t saturates for large bias voltages. This is connected with surprising
ly high breakdown voltages of the sub-mu m lateral barriers. We propos
e a model for in-plane-gated structures which can explain these effect
s by taking into account surface leakage currents and surface charges.
The lateral band diagram and the barrier height as a function of volt
age were calculated self-consistently using this model. The model and
the calculations are in good agreement with experimentally determined
barrier heights, depletion lengths, and time-dependent leakage current
s. (C) 1996 American Institute of Physics.