Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instabilities of spin-1 Kitaev spin liquid phase in presence of
  single-ion anisotropies   We study the spin-one Kitaev model on the honeycomb lattice in the presence
of single-ion anisotropies. We consider two types of single ion anisotropies: A
$D_{111}$ anisotropy which preserves the symmetry between $X$, $Y$, and $Z$
bonds but violates flux conservation and a $D_{100}$ anisotropy that breaks the
symmetry between $X$, $Y$, and $Z$ bonds but preserves flux conservation. We
use series expansion methods, degenerate perturbation theory, and exact
diagonalization to study these systems. Large positive $D_{111}$ anisotropy
leads to a simple product ground state with conventional magnon-like
excitations, while large negative $D_{111}$ leads to a broken symmetry and
degenerate ground states. For both signs there is a phase transition at a small
$|D_{111}| \approx 0.12$ separating the more conventional phases from the
Kitaev spin liquid phase. With large $D_{100}$ anisotropy, the ground state is
a simple product state, but the model lacks conventional dispersive excitations
due to the large number of conservation laws. Large negative $D_{100}$ leads to
decoupled one-dimensional systems and many degenerate ground states. No
evidence of a phase transition is seen in our numerical studies at any finite
$D_{100}$. Convergence of the series expansion extrapolations all the way to
$D_{100}=0$ suggests that the nontrivial Kitaev spin liquid is a singular limit
of this type of single-ion anisotropy going to zero, which also restores
symmetry between the $X$, $Y$, and $Z$ bonds.

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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex