Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local injection of pure spin current generates electric current vortices   We show that local injection of pure spin current into an electrically
disconnected ferromagnetic - normal-metal sandwich induces electric currents,
that run along closed loops inside the device, and are powered by the source of
the spin injection. Such electric currents may significantly modify voltage
distribution in spin-injection devices and induce long-range tails of spin
accumulation.

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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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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: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat