Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Protected pseudohelical edge states in proximity graphene ribbons and
  flakes   We investigate topological properties of models that describe graphene on
realistic substrates which induce proximity spin-orbit coupling in graphene. A
$\mathbb{Z}_2$ phase diagram is calculated for the parameter space of
(generally different) intrinsic spin-orbit coupling on the two graphene
sublattices, in the presence of Rashba coupling. The most fascinating case is
that of staggered intrinsic spin-orbit coupling which, despite being
topologically trivial, $\mathbb{Z}_2 = 0$, does exhibit edge states protected
against time-reversal scattering for zigzag ribbons as wide as micrometers. We
call these states pseudohelical as their helicity is locked to the sublattice.
The spin character and robustness of the pseudohelical modes is best exhibited
on a finite flake, which shows that the edge states have zero $g$-factor, carry
a finite spin current in the crossection of the flake, and exhibit spin-flip
reflectionless tunneling at the armchair edges.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph