Pl. Deandres et al., A THEORETICAL-ANALYSIS OF BALLISTIC-ELECTRON-EMISSION MICROSCOPY - BAND-STRUCTURE EFFECTS AND ATTENUATION LENGTHS, Acta Physica Polonica. A, 93(2), 1998, pp. 281-287
Using a quantum mechanical approach, we compute the ballistic electron
emission microscopy current distribution in reciprocal space to compa
re experimental and theoretical spectroscopic I(V) curves. In the elas
tic limit, this formalism is a ''parameter-free'' representation of th
e problem. At low voltages, low temperatures, and for thin metallic la
yers, the elastic approximation is enough to explain the experiments (
ballistic conditions). At low temperatures, inelastic effects can be t
aken into account approximately by introducing an effective electron-e
lectron lifetime as an imaginary part in the energy. Ensemble Monte Ca
rlo calculations were also performed to obtain ballistic electron emis
sion microscopy currents in good agreement with the previous approach.