Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Whirling interlayer fields as a new source of stable topological order
  in moir\'e CrI3   The moir\'e engineering of two-dimensional magnets opens unprecedented
opportunities to design novel magnetic states via the stacking-dependent
magnetism. Here, we explore the formation and control of ground state
topological spin structures (TSTs) in moir\'e CrI3 without including the
nearest-neighbor (NN) Dzyaloshinskii-Moriya interactions (DMI) and dipolar
interactions in the theoretical approach. Using stochastic
Landau-Lifshitz-Gilbert simulations, we unveil the emergence of vortex and
antivortex interlayer exchange fields at large moir\'e periodicity. The
whirling fields stabilize spontaneous and field-assisted ground state TSTs with
various topologies, including skyrmionic clusters with high topological
charges. Furthermore, by examining the effect of the Kitaev interaction and the
next NN DMI, we propose the latter as the unique spin-orbit coupling mechanism
compatible with the experimental results on monolayer and twisted CrI3.
Therefore, our study goes beyond the current knowledge about TSTs in moir\'e
magnets, opens exciting opportunities for moir\'e skyrmionics, and uncovers the
spin-orbit coupling in CrI3.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci