Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of edge states and conductivity in spin-orbit coupled bilayer
  graphene   We present an elaborate and systematic study of the conductance properties of
a zigzag bilayer graphene nanoribbon modeled by a Kane-Mele (KM) Hamiltonian.
The interplay of the Rashba and the intrinsic spin-orbit couplings with the
edge states, electronic band structures, charge and spin transport are explored
in details. We have analytically derived the conditions for the edge states for
a bilayer KM nanoribbon and show how these modes decay for lattice sites inside
the bulk. It is particularly interesting to note that for a finite-size ribbon
an even number of zigzag ribbon hosts a finite energy gap at the Dirac points,
while the odd ones do not. This asymmetry is present both in presence and
absence of a bias voltage that may exist between the layers. The interlayer
Rashba spin-orbit coupling, along with the intralayer intrinsic spin-orbit and
intralayer Rashba spin-orbit couplings seem to destroy the quantum spin Hall
(QSH) phase where the QSH phase is identified by the presence of a conductance
plateau (of magnitude 4e/h) in the vicinity of zero Fermi energy. The plateau
is sensitive to the values of the spin-orbit coupling parameters. Further, the
spin polarized conductance data reveal that a bilayer KM ribbon is found to be
more efficient for spintronic applications compared to a monolayer graphene.
Finally, a quick check with experiments is done via computing the effective
mass of electrons.

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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas