Confinement and deconfinement in the potential of antidot arrays of a massless Dirac electron in magnetic fields
- Authors
- Kim, S. C.; Yang, S-R Eric
- Issue Date
- 16-5월-2012
- Publisher
- IOP PUBLISHING LTD
- Citation
- JOURNAL OF PHYSICS-CONDENSED MATTER, v.24, no.19
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF PHYSICS-CONDENSED MATTER
- Volume
- 24
- Number
- 19
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/108419
- DOI
- 10.1088/0953-8984/24/19/195301
- ISSN
- 0953-8984
- Abstract
- We have investigated the effect of inter-Landau level mixing on confinement/deconfinement in antidot potentials of states with energies less than the potential height of the antidot array. We find that, depending on the ratio between the size of the antidot R and the magnetic length l = root(h) over barc/Be, probability densities display confinement or deconfinement in antidot potentials (B is the magnetic field). When R/l < 1 inter-Landau level mixing is strong and probability densities with energy less than the potential height are non-chiral and localized inside antidot potentials. However, in the strong magnetic field limit R/l >= 1, where inter-Landau level mixing is small, they are delocalized outside antidot potentials, and are chiral for N = 0 Landau level (LL) states while non-chiral for N = 1. In the non-trivial crossover regime R/l similar to 1 localized and delocalized probability densities coexist. States that are delocalized outside antidots when R/l > 1 form a nearly degenerate band and their probability densities are independent of k, in contrast to the case of R/l < 1.
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