Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Green's function approach to transmission of massless Dirac fermions
  in graphene through an array of random scatterers   We consider the transmission of massless Dirac fermions through an array of
short range scatterers which are modeled as randomly positioned $\delta$-
function like potentials along the x-axis. We particularly discuss the
interplay between disorder-induced localization that is the hallmark of a
non-relativistic system and two important properties of such massless Dirac
fermions, namely, complete transmission at normal incidence and periodic
dependence of transmission coefficient on the strength of the barrier that
leads to a periodic resonant transmission. This leads to two different types of
conductance behavior as a function of the system size at the resonant and the
off-resonance strengths of the delta function potential. We explain this
behavior of the conductance in terms of the transmission through a pair of such
barriers using a Green's function based approach. The method helps to
understand such disordered transport in terms of well known optical phenomena
such as Fabry Perot resonances.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: cs