It will be shown that it is possible to prepare short-circuit free LB
sandwiches of a few monolayers only, if the cross sectional area is in
the order of a few 10 mu m x 100 mu m. Current-voltage characteristic
s recorded at liquid helium temperature show distinct features like th
resholds and steps which can be interpreted in terms of resonant tunne
ling and single electron effects. For an unambiguous assignment, howev
er, more knowledge and better control of the organic/inorganic interfa
ce is essential.