Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse
  Fields on Spin Ice in Pr$_2$Zr$_2$O$_7$   Inelastic neutron scattering reveals a broad continuum of excitations in
Pr$_2$Zr$_2$O$_7$, the temperature and magnetic field dependence of which
indicate a continuous distribution of quenched transverse fields ($\Delta$)
acting on the non-Kramers Pr$^{3+}$ crystal field ground state doublets.
Spin-ice correlations are apparent within 0.2 meV of the Zeeman energy. A
random phase approximation provides an excellent account of the data with a
transverse field distribution $\rho(\Delta)\propto (\Delta^2+\Gamma^2)^{-1}$
where $ \Gamma=0.27(1)$ meV. Established during high temperature synthesis due
to an underlying structural instability, it appears disorder in
Pr$_2$Zr$_2$O$_7$ actually induces a quantum spin liquid.

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The categories of this paper are: math
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph