Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double-semion topological order from exactly solvable quantum dimer
  models   We construct a generalized quantum dimer model on two-dimensional
nonbipartite lattices including the triangular lattice, the star lattice and
the kagome lattice. At the Rokhsar-Kivelson (RK) point, we obtain its exact
ground states that are shown to be a fully gapped quantum spin liquid with the
double-semion topological order. The ground-state wave function of such a model
at the RK point is a superposition of dimer configurations with a nonlocal sign
structure determined by counting the number of loops in the transition graph.
We explicitly demonstrate the double-semion topological order in the ground
states by showing the semionic statistics of monomer excitations. We also
discuss possible implications of such double-semion resonating valence bond
states to candidate quantum spin-liquid systems discovered experimentally and
numerically in the past few years.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph