Abstract
The behavior of edge states in the quantum Hall regime is studied using numerical methods. The mixing between edge states and bulk extended states, as well as the mixing among edge states in different Landau levels, are shown to depend strongly on correlation lengths of random potentials. The properties of edge states in the presence of a gate barrier are also presented. When the guiding center energy of the edge states in the n-th Landau level, ΔE v = ɛ v − (n + 1/2)ħω c satisfies ΔE v U g . In the intermediate region (ΔE v ≲ U g ), the edge states are shown to have significant amplitude in the gate barrier region due to quantum tunneling.
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