Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absence of magnetic long range order in Y$_{2}$CrSbO$_{7}$:
  bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore   The consequences of nonmagnetic-ion dilution for the pyrochlore family
Y$_{2}$($M_{1-x}N_{x}$)$_{2}$O$_{7}$ ($M$ = magnetic ion, $N$ = nonmagnetic
ion) have been investigated. As a first step, we experimentally examine the
magnetic properties of Y$_{2}$CrSbO$_{7}$ ($x$ = 0.5), in which the magnetic
sites (Cr$^{3+}$) are percolative. Although the effective Cr-Cr spin exchange
is ferromagnetic, as evidenced by a positive Curie-Weiss temperature,
$\Theta_\mathrm{{CW}}$ = 20.1(6) K, our high-resolution neutron powder
diffraction measurements detect no sign of magnetic long range order down to 2
K. In order to understand our observations, we performed numerical simulations
to study the bond-disorder introduced by the ionic size mismatch between $M$
and $N$. Based on these simulations, bond-disorder ($x_{b}$ $\simeq$ 0.23)
percolates well ahead of site-disorder ($x_{s}$ $\simeq$ 0.61). This model
successfully reproduces the critical region (0.2 < $x$ < 0.25) for the N\'eel
to spin glass phase transition in Zn(Cr$_{1-x}$Ga$_{x}$)$_{2}$O$_{4}$, where
the Cr/Ga-sublattice forms the same corner-sharing tetrahedral network as the
$M/N$-sublattice in Y$_{2}$($M_{1-x}N_{x}$)$_{2}$O$_{7}$, and the rapid drop in
magnetically ordered moment in the N\'eel phase [Lee $et$ $al$, Phys. Rev. B
77, 014405 (2008)]. Our study stresses the nonnegligible role of bond-disorder
on magnetic frustration, even in ferromagnets.

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The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph