Abstract
In this paper we have studied the transition from adiabatic to nonadiabatic behavior of the edge states in the quantum Hall regime. The loss of adiabaticity due to strong changes in the geometry of the boundary potential is analyzed in different situations commonly present in experimental devices. When the Fermi energy is close to that of a bulk Landau level (LL), the edge state corresponding to such a LL remains uncoupled from the rest, even with a hard-walled boundary potential. So, at least for this edge state, the smoothness of the potential in both drift and lateral directions is not a necessary condition to maintain the uncoupling observed experimentally in different devices. On top of that, strong oscillations in the scattering properties have been obtained as a function of the various parameters defining the geometry.
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