Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of site asymmetry and valley mixing on Hofstadter-type spectra
  of bilayer graphene in a square-scatter array potential   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 $2\times 2$ 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 destroy completely the Hofstadter-type band structures due to
the dependence of Bloch-wave expansion coefficients on the applied electric
field.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
1
The categories of this paper are: cs
2
The categories of this paper are: math