Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological $\mathbb{Z}_2$ RVB quantum spin liquid on the ruby lattice   We construct a short-range resonating valence-bond state (RVB) on the ruby
lattice, using projected entangled-pair states (PEPS) with bond dimension
$D=3$. By introducing non-local moves to the dimer patterns on the torus, we
distinguish four distinct sectors in the space of dimer coverings, which is a
signature of the topological nature of the RVB wave function. Furthermore, by
calculating the reduced density matrix of a bipartition of the RVB state on an
infinite cylinder and exploring its entanglement entropy, we confirm the
topological nature of the RVB wave function by obtaining non-zero topological
contribution, $\gamma=-\rm{ln}\ 2$, consistent with that of a $\mathbb{Z}_2$
topological quantum spin liquid. We also calculate the ground-state energy of
the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the ruby lattice
and compare it with the RVB energy. Finally, we construct a quantum-dimer model
for the ruby lattice and discuss it as a possible parent Hamiltonian for the
RVB wave function.

12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys