Abstract

A one-dimensional saddle-point system has been investigated for the first time. A number of features in the quantum Hall effect (QHE) behaviour have been observed resulting from the presence of a potential featuring a linear chain of saddle points, namely a shift of the QHE plateaux to lower magnetic fields which is different for the cyclotron-split levels and for the spin-split ones. The activation energy at ν=2 proved to be considerably smaller than the value ℏω c/2 usually observed for the ordinary two-dimensional. No evidence for the presence of composite fermions as ballistic quasiparticles has been observed at the filling factor ν= 3 2 in the system investigated.

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