We have performed quantum-mechanical as well as classical magnetotrans
port calculations for a lattice of antidots with additional barriers.
Both approaches reproduce the experimentally observed well-known comme
nsurability peaks simultaneously with a negative differential magnetor
esistance. By comparing both calculations, we find that quantum interf
erence leads to an enhancement of the latter effect because of the inc
reased probability of closed paths due to the insertion of additional
potential barriers. We analyze the influence of the strength of inelas
tic scattering as well as increasing temperatures, i.e. energy averagi
ng, in order to separate the classical and the quantum contributions.
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