Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclear-induced dephasing and signatures of hyperfine effects in
  isotopically purified $^{13}$C graphene   The hyperfine interaction between the spins of electrons and nuclei is both a
blessing and a curse. It can provide a wealth of information when used as an
experimental probing technique but it can also be destructive when it acts as a
dephasive perturbation on the electronic system. In this work, we fabricated
large scale single and multilayer isotopically-purified $^{13}$C graphene Hall
bars to search for interaction effects between the nuclear magnetic moments and
the electronic system. We find signatures of nuclei with a spin in the analysis
of the weak localization phenomenon that shows a significant dichotomy in the
scattering times of monolayer $^{12}$C and $^{13}$C graphene close the Dirac
point. Microwave-induced electron spin flips were exploited to transfer
momentum to the nuclei and build-up a nuclear field. The presence of a very
weak nuclear field is encoded in a modulation of the electron Zeeman energy
which shifts the energy for resonant absorption and reduces the $g$-factor.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol