Inducing charge into V-groove quantum wires via a field effect from a back
gate is investigated by solving the Laplace and Poisson equations analytica
lly, using a sequence of three conformal mapping transformations. These sol
utions show that the V-groove geometry is much more effective than the corr
esponding planar geometry. Induced charge densities of order 10(8) m(-1) ar
e well within present growth and processing capabilities and offer the pros
pect of clean, high-conductivity devices without the need for modulation do
ping.