Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clustering of Topological Charges in a Kagome Classical Spin Liquid   Fractionalization is a ubiquitous phenomenon in topological states of matter.
In this work, we study the collective behavior of fractionalized topological
charges and their instabilities, through the $J_1$-$J_2$-$J_3$ Ising model on a
kagome lattice, which can be mapped to a model of interacting topological
charges under the constraint of Gauss' law. We find that the recombination of
topological charges gives rise to a yet unexplored classical spin liquid. This
spin liquid is characterized by an extensive residual entropy, as well as the
formation of hexamers of same-sign topological charges. The emergence of
hexamers is reflected to a half-moon signal in the magnetic structure factor,
which provides us a signature of this new spin liquid in neutron-scattering
experiments. To study this phase, a worm algorithm has been developed which
does not require the usual divergence-free condition.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex