Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crossover from Karplus-Luttinger to Topological Hall Effects in
  SrRuO3-based heterostructures   Using SrRuO3-based thin film heterostructures, we aim to resolve the two
debated interpretations that distinguish between the genuine Topological Hall
Effect (THE) and the artefactual humps produced from overlapping double
Karplus-Luttinger Anomalous Hall Effects (KL-AHE), without magnetic imaging.
Firstly, we selected two heterostructures with similar Hall Effect but with
contrasting octahedral rotations/tilts, providing a clue to determining the
presence/absence of Dzyaloshinskii-Moriya Interaction. Secondly, we employ the
{\theta}-rotation of magnetic field from out-of-plane to in-plane as the
critical judgemental tool. The first heterostructure showing field-position of
Hall hump diverging with ~1/cos({\theta}) is correctly reproduced using the
double KL-AHEs. Yet, the second one showing constant hump field versus {\theta}
behaviour agrees with a micromagnetic simulation with N\'eel-Skyrmions and is
thus convincingly assigned as THE. Lastly, for a general system evolving with
increasing magnetic field from two-dimensional Skyrmion-lattice into collinear
ferromagnetic in the real-space, we further discuss about the corresponding
evolution of k-space band structure from gapped massive Dirac Fermion into Weyl
Fermion, consistent to past literatures. Its associated transformation from
"Mirror Anomaly" into "Chiral Anomaly" is detectable via electrical transport
and further assisted in resolving the aforementioned debate. We hence emphasize
the two schemes as useful, generic electrical measurement protocols for future
search of magnetic Skyrmions.

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The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg