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The error bars in Fig. 3 correspond to the standard deviation of the measurement. However, they mainly indicate the local variations in transmission because of the surface roughness, and to a lesser extent the actual noise of the measurement. Since the films are polycrystalline, electrons that tunnel from the tip to the edges of a grain will be injected into the film at an angle inclined with respect to the normal of the plane of the metal/semiconductor interface. This causes the ballistic electrons to travel a longer path and thus attenuate more until they reach the metal/semiconductor interface. Moreover, their highly off-normal momentum direction causes high reflection at the metal/semiconductor interface, reducing even further the ballistic current measured (Ref.). Spectroscopy curves acquired on polycrystalline films show an overall transmission that scales inversely with the injection angle. Those local variations in the BEEM transmission because of the surface structure are always present, and during imaging give rise to a contrast related to surface topography (Ref.).
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The Cu attenuation length has not yet been determined. However, the lifetime calculation in Ref. and the band structure let us suppose that it is high and similar to that for Au [30-15 nm in the 1-2 eV energy range (Ref.)].
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The Cu attenuation length has not yet been determined. However, the lifetime calculation in Ref. and the band structure let us suppose that it is high and similar to that for Au [30-15 nm in the 1-2 eV energy range (Ref.)].
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-
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