Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directional Locking and the Influence of Obstacle Density on Skyrmion
  Dynamics in Triangular and Honeycomb Arrays   We numerically examine a single skyrmion dynamics under the influence of
triangular and honeycomb obstacle arrays at zero temperature. The skyrmion Hall
angle $\theta_{sk}$, that is the angle between the applied external drive and
the direction of the skyrmion motion, increases in quantized steps or
continuously as a function of the applied drive. For the obstacle arrays
studied in this work, the skyrmion exhibits two main directional locking
effects, where the skyrmion motion locks with $\theta_{sk}=-30^\circ$ and
$-60^\circ$. We show that these directions are privileged due to the obstacle
landscape symmetry, where there are channels that the skyrmion may move with
less or no obstacle collisions. Besides that, the skyrmion Hall angles can be
modified by changing the obstacle density in the sample, where some dynamic
phases may appear, vanish or be stimulated. This interesting behavior can be
useful to guide skyrmions using regions with different obstacle densities to
set the skyrmion into designed trajectories. We have also investigated for
fixed obstacle densities how the phases with $\theta_{sk}=-30^\circ$ and
$-60^\circ$ evolve as a function of the Magnus force, where possibilities for
switching between these phases and topological selection is discussed.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int