D. Eliyahu et R. Berkovits, THE SIGNATURE OF EDGE STATES IN THE ENERGY-LEVEL DISTRIBUTION OF A 2DEG IN A STRONG MAGNETIC-FIELD, Journal of physics. Condensed matter, 6(25), 1994, pp. 4737-4744
The level spacing distributions of a confined 2DEG (2D electron gas) i
n a strong magnetic field are studied. As long as the Landau bands do
not overlap the distribution statistics exhibit a sharp transition in
the vicinity of the edge states. The level spacing distribution betwee
n the pair of edge stares follow the Poisson statistics while the leve
l spacing in their vicinity is non-universal.