Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mesoscopic correlations in Tb2Ti2O7 spin liquid   We have studied the spin correlations with $\bf{k}$= ($\frac12$, $\frac12$,
$\frac12$) propagation vector which appear below 0.4\, K in \tbti\ spin liquid
by combining powder neutron diffraction and specific heat on
Tb$_{2+x}$Ti$_{2-x}$O$_{7+y}$ samples with $x$=0, 0.01, -0.01. The $\bf{k}$=
($\frac12$, $\frac12$, $\frac12$) order clearly appears on all neutron patterns
by subtracting a pattern at 1.2(1)\,K. Refining the subtracted patterns at
0.07\,K yields two possible spin structures, with spin-ice-like and
monopole-like correlations respectively. Mesoscopic correlations involve Tb
moments of 1 to 2 \mub\ ordered on a length scale of about 20 \AA. In addition,
long range order involving a small spin component of 0.1 to 0.2 \mub\ is
detected for the $x$= 0 and 0.01 samples showing a peak in the specific heat.
Comparison with previous single crystals data suggests that the ($\frac12$,
$\frac12$, $\frac12$) order settles in through nanometric spin textures with
dominant spin ice character and correlated orientations, analogous to
nanomagnetic twins.

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat