Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport in the non-Fermi liquid phase of isotropic Luttinger
  semimetals   Luttinger semimetals have quadratic band crossings at the Brillouin
zone-center in three spatial dimensions. Coulomb interactions in a model that
describes these systems stabilize a non-trivial fixed point associated with a
non-Fermi liquid state, also known as the Luttinger-Abrikosov-Beneslavskii
phase. We calculate the optical conductivity $\sigma (\omega) $ and the dc
conductivity $\sigma_{dc} (T) $ of this phase, by means of the Kubo formula and
the Mori-Zwanzig memory matrix method, respectively. Interestingly, we find
that $\sigma (\omega) $, as a function of the frequency $\omega$ of an applied
ac electric field, is characterized by a small violation of the hyperscaling
property in the clean limit, which is in marked contrast to the low-energy
effective theories that possess Dirac quasiparticles in the excitation spectrum
and obey hyperscaling. Furthermore, the effects of weak short-ranged disorder
on the temperature-dependence of $\sigma_{dc} (T)$ give rise to a much stronger
power-law suppression at low temperatures compared to the clean limit. Our
findings demonstrate that these disordered systems are actually power-law
insulators. Our theoretical results agree qualitatively with the data from
recent experiments performed on Luttinger semimetal compounds like the
pyrochlore iridates [ (Y$_{1-x}$Pr$_x$)$_2$Ir$_2$O$_7$ ].

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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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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: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn