We review our recent work on low temperature scanning tunneling spectroscop
y (STS) in magnetic field on InAs(110). First, we describe the influence of
the tip on the sample. It results in band bending at the InAs-surface, mor
e precisely in a so called tip induced quantum dot. STS of the quantum dot
states is used to reconstruct the quantum dot potential, a major requiremen
t for all further measurements. Second, we analyze the appearance of ionize
d dopants in constant current images within a simple model based on the loc
al band bending approach. Third, we show scattering states of ionized dopan
ts at different energies appearing in normalized dI/dU-images. Comparison w
ith calculated scattering states in the Wentzel-Kramers-Brillouin (WKB)-app
roximation gives good correspondance and a good estimate of the depth of in
dividual dopants beneath the surface. Finally, we discuss the energy quanti
zation of the unoccupied states of the tip induced quantum dot in magnetic
field. The corresponding dI/dU-curves exhibit peaks attributed to the Landa
u quantization and the spin splitting of the quantum dot. (C) 2000 Elsevier
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