Model metal-semiconductor nanostructure Schottky nanocontacts were made on cleaved heterostructures containing GaAs quantum wells (QWs) of varying width and were locally probed by ballistic electron emission microscopy. The local Schottky barrier was found to increase by 0:140 eV as the QW width was systematically decreased from 15 to 1 nm, due mostly to a large (0:200 eV) quantumconfinement increase to the QW conduction band. The measured barrier increase over the full 1 to 15 nm QW range was quantitatively explained when local ''interface pinning'' and image force lowering effects are also considered. DOI: 10.1103/PhysRevLett.94.206803 PACS numbers: 73.21.Fg, 73.30.+y, 73.63.Hs, 73.63.Rt Much recent activity has focused on nanoscale semiconducting devices [1][2][3][4][5]. Critical to their behavior are the contacts that transport carriers in and out of the device. For example, some argue that the device behavior of carbon nanotube field-effect transistors is dominated by Schottky barriers (SBs) that form at the metal contacts to the nanotube [4,5]. In nm-dimension Schottky contacts, small-size effects-such as quantum confinement and geometryinduced electric fields-may greatly alter carrier transport through the contacts. There is a critical need to predict how these effects scale with contact size and geometry. Several previous studies have measured current-voltage curves through nm-sized metal contacts on homogenous semiconductor (SC) substrates, to infer effects from nonlocal ''environmental pinning'' and geometry-induced electric fields [6,7]. However, those contacts were not to semiconducting nanostructures, so effects such as quantum confinement were negligible. Furthermore, the small-size effects on the Schottky barrier were inferred from current-voltage measurements, and not directly measured with a spectroscopic technique.Here we report nm-resolution measurements of carrier transport through a model metal-SC nanostructure system, in which the nanostructure dimension can be systematically varied down to 1 nm. This model system is made on the cleaved edge of a GaAs wafer containing a series of AlGaAs=GaAs=AlGaAs quantum wells (QWs) of different thickness. The measured quantity is the energy offset between the metal Fermi energy and the SC conduction band minimum: the Schottky barrier height (SBH). The measurement tool is ballistic electron emission microscopy (BEEM) [8,9], which directly measures the local SBH with nanoscale spatial resolution and <20 meV energy resolution. The SBH shows a strong 140 meV systematic increase as the QW width d is reduced to 1 nm. Our measurements agree very well with the predicted increase from simple one-dimensional quantum confinement, adjusted by a smaller calculated decrease (70 meV for a 1 nm QW) due to environmental pinning effects [6,7] and increased image force lowering [10].The samples consisted of a sequence of GaAs QWs (5 10 16 =cm 3 n-type) with width varying between 1 and 15 nm, separated by 200 nm thick Al 0:3 Ga 0:7 As barrier layers (1 10 17 =cm 3 n-typ...