Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abrikosov fluxonics in washboard nanolandscapes   Abrikosov fluxonics, a domain of science and engineering at the interface of
superconductivity research and nanotechnology, is concerned with the study of
properties and dynamics of Abrikosov vortices in nanopatterned superconductors,
with particular focus on their confinement, manipulation, and exploitation for
emerging functionalities. Vortex pinning, guided vortex motion, and the ratchet
effect are three main fluxonic ``tools'' which allow for the dynamical (pinned
or moving), the directional (angle-dependent), and the orientational (current
polarity-sensitive) control over the fluxons, respectively. Thanks to the
periodicity of the vortex lattice, several groups of effects emerge when the
vortices move in a periodic pinning landscape: Spatial commensurability of the
location of vortices with the underlying pinning nanolandscape leads to a
reduction of the dc resistance and the microwave loss at the so-called matching
fields. Temporal synchronization of the displacement of vortices with the
number of pinning sites visited during one half ac cycle manifests itself as
Shapiro steps in the current-voltage curves. Delocalization of vortices
oscillating under the action of a high-frequency ac drive can be tuned by a
superimposed dc bias. In this short review a choice of experimental results on
the vortex dynamics in the presence of periodic pinning in Nb thin films is
presented. The consideration is limited to one particular type of artificial
pinning structures --- directly written nanolandscapes of the washboard type,
which are fabricated by focused ion beam milling and focused electron beam
induced deposition. The reported results are relevant for the development of
fluxonic devices and the reduction of microwave losses in superconducting
planar transmission lines.

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The categories of this paper are: physics
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys