Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Unified Description of Spin Transport, Weak Antilocalization and
  Triplet Superconductivity in Systems with Spin-Orbit Coupling   The Eilenberger equation is a standard tool in the description of
superconductors with an arbitrary degree of disorder. It can be generalized to
systems with linear-in-momentum spin-orbit coupling (SOC), by exploiting the
analogy of SOC with a non-abelian background field. Such field mixes singlet
and triplet components and yields the rich physics of magnetoelectric
phenomena. In this work we show that the application of this equation extends
further, beyond superconductivity. In the normal state, the linearized
Eilenberger equation describes the coupled spin-charge dynamics. Moreover, its
resolvent corresponds to the so called Cooperons, and can be used to calculate
the weak localization corrections. Specifically, we show how to solve this
equation for any source term and provide a closed-form solution for the case of
Rashba SOC. We use this solution to address several problems of interest for
spintronics and superconductivity. Firstly, we study spin injection from
ferromagnetic electrodes in the normal state, and describe the spatial
evolution of spin density in the sample, and the complete crossover from the
diffusive to the ballistic limit. Secondly, we address the so-called
superconducting Edelstein effect, and generalize the previously known results
to arbitrary disorder. Thirdly, we study weak localization correction beyond
the diffusive limit, which can be a valuable tool in experimental
characterization of materials with very strong SOC. We also address the
so-called pure gauge case where the persistent spin helices form. Our work
establishes the linearized Eilenberger equation as a powerful and a very
versatile method for the study of materials with spin-orbit coupling, which
often provides a simpler and more intuitive picture compared to alternative
methods.

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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: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: eess