Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome
  Heisenberg Model   The fractional quantum Hall effect (FQHE) realized in two-dimensional
electron systems under a magnetic field is one of the most remarkable
discoveries in condensed matter physics. Interestingly, it has been proposed
that FQHE can also emerge in time-reversal invariant spin systems, known as the
chiral spin liquid (CSL) characterized by the topological order and the
emerging of the fractionalized quasiparticles. A CSL can naturally lead to the
exotic superconductivity originating from the condense of anyonic
quasiparticles. Although CSL was highly sought after for more than twenty
years, it had never been found in a spin isotropic Heisenberg model or related
materials. By developing a density-matrix renormalization group based method
for adiabatically inserting flux, we discover a FQHE in a spin-$\frac{1}{2}$
isotropic kagome Heisenberg model. We identify this FQHE state as the
long-sought CSL with a uniform chiral order spontaneously breaking time
reversal symmetry, which is uniquely characterized by the half-integer
quantized topological Chern number protected by a robust excitation gap. The
CSL is found to be at the neighbor of the previously identified $Z_2$ spin
liquid, which may lead to an exotic quantum phase transition between two gapped
topological spin liquids.

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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc