Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Abelian phases in two-component $\nu=2/3$ fractional quantum Hall
  states: Emergence of Fibonacci anyons   Recent theoretical insights into the possibility of non-Abelian phases in
$\nu=2/3$ fractional quantum Hall states revived the interest in the numerical
phase diagram of the problem. We investigate the effect of various kinds of
two-body interlayer couplings on the $(330)$ bilayer state and exactly solve
the Hamiltonian for up to $14$ electrons on sphere and torus geometries. We
consider interlayer tunneling, short-ranged repulsive/attractive
pseudopotential interactions and Coulomb repulsion. We find a 6-fold
ground-state degeneracy on the torus when the interlayer hollow-core
interaction is dominant. To identify the topological nature of this phase we
measure the orbital-cut entanglement spectrum, quasihole counting, topological
entanglement entropy, and wave-function overlap. Comparing the numerical
results to the theoretical predictions, we interpret this 6-fold ground-state
degeneracy phase to be the non-Abelian bilayer Fibonacci state.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th