Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Josephson super-current in graphene-superconductor junction   Within the tunneling Hamiltonian formulation for the eight-component
spinors,the Josephson critical super-current has been calculated in a planar
superconductor-normal graphene-superconductor junction. Coupling between
superconductor regions and graphene is taken into account by a tunneling
Hamiltonian which contains two types of tunneling, intra-valley and
inter-valley tunneling. Within the present tunneling approach, we find that the
contributions of two kinds of tunneling to the critical super-current, are
completely separable. Therefore, it is possible to consider the effect of the
inter-valley tunnelings in the critical super-current. The incorporation of
these type of processes into the tunneling Hamiltonian, exposes a special
feature of the graphene Josephson junctions. The effect of inter-valley
tunneling appears in the length dependence plot of critical current in the form
of oscillations. We also present the results for temperature dependence of
critical super-current and compare with experimental results and other
theoretical calculations.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th