Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology driven quantum phase transitions in time-reversal invariant
  anyonic quantum liquids   Indistinguishable particles in two dimensions can be characterized by anyonic
quantum statistics more general than those of bosons or fermions. Such anyons
emerge as quasiparticles in fractional quantum Hall states and certain
frustrated quantum magnets. Quantum liquids of anyons exhibit degenerate ground
states where the degeneracy depends on the topology of the underlying surface.
Here we present a novel type of continuous quantum phase transition in such
anyonic quantum liquids that is driven by quantum fluctuations of topology. The
critical state connecting two anyonic liquids on surfaces with different
topologies is reminiscent of the notion of a `quantum foam' with fluctuations
on all length scales. This exotic quantum phase transition arises in a
microscopic model of interacting anyons for which we present an exact solution
in a linear geometry. We introduce an intuitive physical picture of this model
that unifies string nets and loop gases, and provide a simple description of
topological quantum phases and their phase transitions.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th