Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competing phases and topological excitations of spin-one pyrochlore
  antiferromagnets   Most works on pyrochlore magnets deal with the interacting spin-1/2 local
moments. We here study the spin-one local moments on the pyrochlore lattice,
and propose a generic interacting spin model on a pyrochlore lattice. Our spin
model includes the antiferromagnetic Heisenberg interaction, the
Dzyaloshinskii-Moriya interaction and the single-ion spin anisotropy. We
develop a flavor wave theory and combine with a mean-field approach to study
the global phase diagram of this model and establish the relation between
different phases in the phase diagram. We find the regime of the quantum
paramagnetic phase where a degenerate line of the magnetic excitations emerges
in the momentum space. We further predict the critical properties of the
transition out of the quantum paramagnet to the proximate orders. The presence
of quantum order by disorder in the parts of the ordered phases is then
suggested. We point out the existence of degenerate and topological excitations
in various phases. We discuss the relevance with fluoride pyrochlore material
NaCaNi$_2$F$_7$ and explain the role of the spin-orbit coupling and the
magnetic structures of the Ru-based pyrochlore A$_2$Ru$_2$O$_7$ and the
Mo-based pyrochlore A$_2$Mo$_2$O$_7$.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th