Short--range impurity in the vicinity of a saddle point and the levitation of the 2D delocalized states in a magnetic field

Details Short--range impurity in the vicinity of a saddle point and the levitation of the 2D delocalized states in a magnetic field Short--range impurity in the vicinity of a saddle point and the levitation of the 2D delocalized states in a magnetic field

1996-01-08

arxiv.org/abs/cond-mat/9601023v1

Physics

Condensed Matter

LaTeX, 20 pages

Scientific paper

10.1103/PhysRevB.54.1928

The effect of a short--range impurity on the transmission through a saddle--point potential for an electron, moving in a strong magnetic field, is studied. It is demonstrated that for a random position of an impurity and random sign of its potential the impurity--induced mixing of the Landau levels diminishes {\em on average} the transmission coefficient. This results in an upward shift (levitation) of the energy position of the delocalized state in a smooth potential. The magnitude of the shift is estimated. It increases with decreasing magnetic field $B$ as $B^{-4}$.

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