Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground states and magnetization process for an triangular lattice array
  of magnetic dots with perpendicular anisotropy   We analyzed the ground state of the array of magnetic particles (magnetic
dots) which form a two-dimensional triangular lattice, and magnetic moment of
which is perpendicular to the plane of the lattice, in the presence of external
magnetic field. In the small fields long range dipole-dipole interaction leads
to the specific antiferromagnetic order, where two out of six nearest neighbors
of the particle have the same direction of magnetization moment and four - the
opposite one. It is shown that magnetization process in such array of particles
as opposed to the rectangular lattices results from the formation of the
magnetized topological defects (dislocations) in the shape of the domain walls.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org