Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective States of Interacting Anyons, Edge States, and the Nucleation
  of Topological Liquids   Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k
anyons, form a bridge between ordinary SU(2) spin systems and systems of
interacting non-Abelian anyons. Such a connection can be made for arbitrary
spin-S systems, and we explicitly discuss spin-1/2 and spin-1 systems. Anyonic
spin-1/2 chains exhibit a topological protection mechanism that stabilizes
their gapless ground states and which vanishes only in the limit (k to
infinity) of the ordinary spin-1/2 Heisenberg chain. For anyonic spin-1 chains
we find their phase diagrams to closely mirror the one of the biquadratic SU(2)
spin-1 chain. Our results describe at the same time nucleation of different 2D
topological quantum fluids within a `parent' non-Abelian quantum Hall state,
arising from a macroscopic occupation of localized, interacting anyons. The
edge states between the `nucleated' and the `parent' liquids are neutral, and
correspond precisely to the gapless modes of the anyonic chains.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph