Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Moment Formation and Kondo Effect in Defective Graphene   We study the local moment formation and the Kondo effect at single-atom
vacancies in Graphene. We develop a model accounting for the vacancy
reconstruction as well as non-planarity effects induced by strain and/or
temperature. Thus, we find that the dangling $\sigma$ orbital localized at the
vacancy is allowed to strongly hybridize with the $\pi$-band since the
scattering with the vacancy turns the hybridization into singular function of
the energy ($\sim [|\epsilon| \ln^2 \epsilon/D]^{-1}$, $D\sim$ the bandwidth).
This leads to several new types of impurity phases, which control the magnitude
of the vacancy magnetic moment and the possibility of Kondo effect depending on
the strength of the local Coulomb interactions, the Hund's rule coupling, the
doping level, and the degree of particle-symmetry breaking.

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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg