Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in
  Transverse Magnetic Field   We report on magnetization, sound velocity, and magnetocaloric-effect
measurements of the Ising-like spin-1/2 antiferromagnetic chain system
BaCo$_2$V$_2$O$_8$ as a function of temperature down to 1.3 K and applied
transverse magnetic field up to 60 T. While across the N\'{e}el temperature of
$T_N\sim5$ K anomalies in magnetization and sound velocity confirm the
antiferromagnetic ordering transition, at the lowest temperature the
field-dependent measurements reveal a sharp softening of sound velocity $v(B)$
and a clear minimum of temperature $T(B)$ at $B^{c,3D}_\perp=21.4$ T,
indicating the suppression of the antiferromagnetic order. At higher fields,
the $T(B)$ curve shows a broad minimum at $B^c_\perp = 40$ T, accompanied by a
broad minimum in the sound velocity and a saturation-like magnetization. These
features signal a quantum phase transition which is further characterized by
the divergent behavior of the Gr\"{u}neisen parameter $\Gamma_B \propto
(B-B^{c}_\perp)^{-1}$. By contrast, around the critical field, the
Gr\"{u}neisen parameter converges as temperature decreases, pointing to a
quantum critical point of the one-dimensional transverse-field Ising model.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: math
9
The categories of this paper are: nlin
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: stat