We demonstrate a lithography wherein the tapping mode of an atomic force mi
croscope the Si tip is used as a chiseling tool for direct machining of a G
aAs surface. Single-groove drawing movements in a vector-scan mode result i
n approximately 3-4 nm deep and 30 nm wide furrows, which can be combined t
o arbitrary noncontiguous polygon patterns. Beneath such a groove a barrier
arises in the electron channel of a GaAs/AlGaAs modulation-doped field eff
ect transistor (MODFET). Using appropriate sub-100 nm line patterns we prep
ared quantum point contacts and single electron devices. At T = 4.2 K the t
ransconductance characteristics of these nanoscale MODFETs exhibit structur
es, which represent signatures of either the quantized conductance or Coulo
mb-blockade effects. (C) 2000 Elsevier Science B.V. All rights reserved.