The AC and DC conduction properties of very thin Langmuir films are reported. Films consisting of 1 to 20 monolayers (2.5 nm to 50 nm) of fatty acid salts were deposited on to semiconducting InP as well as the more conventional metal electrodes. The authors' results indicate that the first monolayer may well have different substrate dependent properties from the rest of a multilayer assembly. An unusual log J versus V^1/4 relation has been observed in single monolayer films.