Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From magnetic order to quantum disorder: a $\mu$SR study of the
  Zn-barlowite series of $S={\frac{1}{2}}$ kagom\'e antiferromagnets,
  Zn$_{x}$Cu$_{4-x}$(OH)$_{6}$FBr   We report a comprehensive muon spectroscopy study of the Zn-barlowite series
of $S={\frac{1}{2}}$ kagom\'e antiferromagnets, Zn$_x$Cu$_{4-x}$(OH)$_{6}$FBr,
for $x=0.00$ to $0.99(1)$. By combining muon spin relaxation and rotation
measurements with state-of-the-art density-functional theory muon-site
calculations, we observe the formation of both $\mu$--F and $\mu$--OH complexes
in Zn-barlowite. From these stopping sites, implanted muon spins reveal the
suppression of long-range magnetic order into a possible quantum spin liquid
state upon increasing concentration of Zn-substitution. In the parent compound
($x=0$), static long-range magnetic order below $T_{\mathsf{N}}=15$ K manifests
itself in the form of spontaneous oscillations in the time-dependent muon
asymmetry signal consistent with the dipolar fields expected from the
calculated muon stopping sites and the previously determined magnetic structure
of barlowite. Meanwhile, in the $x=1.0$ end-member of the series---in which
antiferromagnetic kagom\'e layers of Cu$^{2+}$ $S={\frac{1}{2}}$ moments are
decoupled by diamagnetic Zn$^{2+}$ ions---we observe that dynamic magnetic
moment fluctuations persist down to at least 50 mK, indicative of a quantum
disordered ground state. We demonstrate that this crossover from a static to
dynamic magnetic ground state occurs for compositions of Zn-barlowite with
$x>0.5$, which bears resemblance to dynamical behaviour of the widely studied
Zn-paratacamite series that contains the quantum spin liquid candidate
herbertsmithite.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom