Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valence bond fluctuations in the Kitaev spin model   We introduce valence bond fluctuations, or bipartite fluctuations associated
to bond-bond correlation functions, to characterize quantum spin liquids and
their entanglement properties. Using analytical and numerical approaches, we
find an identical scaling law between valence bond fluctuations and
entanglement entropy in the two-dimensional Kitaev spin model and in
one-dimensional chain analogues. We also show how these valence bond
fluctuations can locate quantum phase transitions between the three gapped and
the gapless Majorana semi-metal phases in the honeycomb model. We then study
the effect of a uniform magnetic field along the 111 direction opening a gap in
the intermediate phase which becomes topological. We still obtain a robust
signal to characterize the transitions towards the three gapped phases. The
linear scaling behavior of such bipartite fluctuations in two dimensions is
also distinguishable from the one in the Neel magnetic state.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org