Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of counterintuitive transport properties in the
  Aubry-Andr\'e-Harper model via entanglement entropy and persistent current   The single particle eigenstates of the Aubry-Andr\'e-Harper model are known
to show a delocalization-localization transition at a finite strength of the
quasi-periodic disorder. In this work, we point out that an intimate
relationship exists between the sub-band structure of the spectrum and
transport properties of the model. To capture the transport properties we have
not only used a variety of single-particle measures like inverse participation
ratio, and von Neumann entropy, but also many-particle measures such as
persistent current and its variance, and many body entanglement entropy. The
many-particle measures are very sensitive to the sub-band structure of the
spectrum. Even in the delocalized phase, surprisingly the entanglement entropy
is substantially suppressed when the Fermi level is in the band gaps whereas
the persistent current is vanishingly small for the same locations of the Fermi
level. The entanglement entropy seems to follow area-law exclusively for these
special locations of Fermi level or filling fractions of free fermions. A study
of the standard deviation of persistent current offers further distinguishing
features for the special fillings. In the delocalized phase, the standard
deviation vs. mean persistent current curves are discontinuous for the
non-special values of filling fractions and continuous (closed) for the special
values of filling fractions whereas in the localized phase, these curves become
straight lines for both types of filling fractions. We have also discussed how
the results depend on the system size. Our results, specially on the persistent
current, can potentially be tested experimentally using the present day set-ups
based on ultra-cold atoms.

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The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
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The categories of this paper are: quant-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph