TY - JOUR

T1 - Confinement and deconfinement in the potential of antidot arrays of a massless Dirac electron in magnetic fields

AU - Kim, S. C.

AU - Yang, Sung Ryul

PY - 2012/5/16

Y1 - 2012/5/16

N2 - 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 , probability densities display confinement or deconfinement in antidot potentials (B is the magnetic field). When R/<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/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/1 localized and delocalized probability densities coexist. States that are delocalized outside antidots when R/>1 form a nearly degenerate band and their probability densities are independent of k, in contrast to the case of R/<1.

AB - 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 , probability densities display confinement or deconfinement in antidot potentials (B is the magnetic field). When R/<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/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/1 localized and delocalized probability densities coexist. States that are delocalized outside antidots when R/>1 form a nearly degenerate band and their probability densities are independent of k, in contrast to the case of R/<1.

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U2 - 10.1088/0953-8984/24/19/195301

DO - 10.1088/0953-8984/24/19/195301

M3 - Article

C2 - 22510413

AN - SCOPUS:84860203797

VL - 24

JO - Journal of physics. Condensed matter : an Institute of Physics journal

JF - Journal of physics. Condensed matter : an Institute of Physics journal

SN - 0953-8984

IS - 19

M1 - 195301

ER -