Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonuniform superconductivity and Josephson effect in conical ferromagnet   Using the Gorkov equations, we provide an exact solution for a
one-dimensional model of superconductivity in the presence of a conical
helicoidal exchange field. Due to the special type of symmetry of the system,
the superconducting transition always occurs into a nonuniform superconducting
phase (in contrast with the Fulde-Ferrell-Larkin-Ovchinnikov state, which
appears only at low temperatures). We directly demonstrate that the uniform
superconducting state in our model carries a current and thus does not
correspond to the ground state. We study in the framework of the Bogoliubov-de
Gennes approach the properties of the Josephson junction with a conical
ferromagnet as a weak link. In our numerical calculations, we do not use any
approximations (such as, e.g., a quasiclassical approach), and we show a
realization of an anomalous $\phi_{0}$ junction (with a spontaneous phase
difference $\phi_{0}$ in the ground state). The spontaneous phase difference
$\phi_{0}$ strongly increases at high values of the exchange field near the
borderline with a half-metal, and it exists also in the half-metal regime.

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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an