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      Hall conductance in graphene with point defects

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      Author
      İslamoǧlu, S.
      Oktel, M. Ö.
      Gülseren, O.
      Date
      2013
      Source Title
      Journal of Physics Condensed Matter
      Print ISSN
      0953-8984
      Electronic ISSN
      1361-648X
      Volume
      25
      Issue
      5
      Pages
      1 - 10
      Language
      English
      Type
      Article
      Item Usage Stats
      148
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      95
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      Abstract
      We investigate the Hall conductance of graphene with point defects within the Kubo formalism, which allows us to calculate the Hall conductance without constraining the Fermi energy to lie in a gap. For pure graphene, which we model using a tight-binding Hamiltonian, we recover both the usual and the anomalous integer quantum Hall effects depending on the proximity to the Dirac points. We investigate the effect of point defects on Hall conduction by considering a dilute but regular array of point defects incorporated into the graphene lattice. We extend our calculations to include next nearest neighbor hopping, which breaks the bipartite symmetry of the lattice. We find that impurity atoms which are weakly coupled to the rest of the lattice result in gradual disappearance of the high conductance value plateaus. For such impurities, especially for vacancies which are decoupled from the lattice, strong modification of the Hall conductance occurs near the E = 0 eV line, as impurity states are highly localized. In contrast, if the impurities are strongly coupled, they create additional Hall conductance plateaus at the extremum values of the spectrum, signifying separate impurity bands. Hall conductance values within the original spectrum are not strongly modified.
      Keywords
      Conductance values
      Dirac point
      Graphene lattices
      Hall conductance
      Impurity atoms
      Impurity bands
      Impurity state
      Nearest neighbor hopping
      Regular array
      Tight-binding Hamiltonians
      Impurities
      Point defects
      Quantum Hall effect
      Graphene
      Permalink
      http://hdl.handle.net/11693/21083
      Published Version (Please cite this version)
      http://dx.doi.org/10.1088/0953-8984/25/5/055302
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