Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bond and Neel order and fractionalization in ground states of easy-plane
  antiferromagnets in two dimensions   We describe the zero temperature phases and phase boundaries of an effective
lattice model for frustrated, easy-plane, spin S=1/2 quantum antiferromagnets.
The model contains states with Neel and bond-centered charge order and
fractionalization in different limiting regimes, and we describe how these
orders compete at intermediate coupling. The complex Berry phase terms render
this model unsuitable for direct simulation; however, a duality mapping leads
to a model of interacting current loops with positive weights, which is then
studied by Monte Carlo simulations.

1
The categories of this paper are: cs
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph