Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight-Binding Model for Adatoms on Graphene: Analytical Density of
  States, Spectral Function, and Induced Magnetic Moment   In the limit of low adatom concentration, we obtain exact analytic
expressions for the local and total density of states (LDOS, TDOS) for a
tight-binding model of adatoms on graphene. The model is not limited to
nearest-neighbor hopping but can include hopping between carbon atoms at any
separation. We also find an analytical expression for the spectral function
$A({\bf k}, E)$ of an electron of Bloch vector ${\bf k}$ and energy E on the
graphene lattice, to first order in the adatom concentration. We treat the
electron-electron interaction by including a Hubbard term on the adatom, which
we solve within a mean-field approximation. For finite Hubbard $U$, we find the
spin-polarized LDOS, TDOS, and spectral function self-consistently. For any
choice of parameters of the tight-binding model within mean field theory, we
find a critical value of $U$ above which a moment develops on the adatom. For
most choices of parameters, we find a substantial charge transfer from the
adatom to the graphene host.

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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: math
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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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: solv-int
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The categories of this paper are: econ
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The categories of this paper are: acc-phys