Landau Level Gap Reduction at Abrupt Edges

Details Landau Level Gap Reduction at Abrupt Edges Landau Level Gap Reduction at Abrupt Edges

1994-09-14

arxiv.org/abs/cond-mat/9409055v1

Physics

Condensed Matter

13 pages in LATEX, 5 figures available on request, to appear in Modern Physics Letters B, IP-ASTP-32-93

Scientific paper

For an electron localized near a finite rectangular step potential under strong magnetic field we found a profound local reduction of the gap between neighbouring Landau levels. We investigate under what conditions the effect persists when the barrier gets smoother. The conclusion is that to get a substantial gap reduction the barrier gradient has to be larger than $\hbar\omega_c/a_L$ ($a_L$ is the magnetic length). The sensitivity of the gap reduction is illustrated using tilted and multiple step barriers and finite stripe configurations.

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