Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crystalline electric field effects in the electrical resistivity of
  PrOs$_4$Sb$_{12}$   The temperature $T$ and magnetic field $H$ dependencies of the electrical
resistivity $\rho$ of the recently discovered heavy fermion superconductor
\PrOsSb{} have features that are associated with the splitting of the Pr$^{3+}$
Hund's rule multiplet by the crystalline electric field (CEF). These features
are apparently due to magnetic exchange and aspherical Coulomb scattering from
the thermally populated CEF-split Pr$^{3+}$ energy levels. The $\rho(T)$ data
in zero magnetic field can be described well by calculations based on CEF
theory for various ratios of magnetic exchange and aspherical Coulomb
scattering, and yield CEF parameters that are qualitatively consistent with
those previously derived from magnetic susceptibility, specific heat, and
inelastic neutron scattering measurements. Calculated $\rho(H)$ isotherms for a
$\Gamma_{3}$ ground state qualitatively account for the `dome-shaped' feature
in the measured $\rho(H)$ isotherms.

13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
2
The categories of this paper are: math