Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cooper pair splitting in diffusive magnetic SQUIDs   We study Josephson junctions with weak links consisting of two parallel
disordered arms with magnetic properties -- ferromagnetic, half-metallic or
normal with magnetic impurities. In the case of long links, the Josephson
effect is dominated by mesoscopic fluctuations. In this regime, the system
realises a $\varphi_0$ junction with sample-dependent $\varphi_0$ and critical
current. Cooper pair splitting between the two arms plays a major role and
leads to $2\Phi_0$ periodicity of the current as a function of flux between the
arms. We calculate the current and its flux and polarization dependence for the
three types of magnetic links.

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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol