Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 31, Issue 12, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-648X/aafd01
Keywords
bilayer graphene; valley mixing; Hofstadter; site energy
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Funding
- Laboratory University Collaboration Initiative (LUCI) - program
- Air Force Office of Scientific Research (AFOSR)
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Under a magnetic field perpendicular to an monolayer graphene, the existence of a two-dimensional periodic scatter array can not only mix Landau levels of the same valley for displaying split electron-hole Hofstadter-type energy spectra, but also couple two sets of Landau subbands from different valleys in a bilayer graphene. Such a valley mixing effect with a strong scattering strength has been found observable and studied thoroughly in this paper by using a Bloch-wave expansion approach and a projected 2 x 2 effective Hamiltonian including interlayer effective mass, interlayer coupling and asymmetrical on-site energies due to a vertically-applied electric field. For bilayer graphene, we find two important characteristics, i.e. mixing and interference of intervalley scatterings in the presence of a scatter array, as well as a perpendicular-field induced site-energy asymmetry which deforms severely or even destroys completely the Hofstadter-type band structures due to the dependence of Bloch-wave expansion coefficients on the applied electric field.
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