Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclear Tunnelling and Dynamical Jahn-Teller Effect in Graphene with
  Vacancy   We show that the substitutional vacancy in graphene forms a dynamical
Jahn-Teller center. The adiabatic potential surface resulting from the
electron-lattice coupling was computed using density-functional methods and
subsequently the Schr\"odinger equation was solved for the nuclear motion. Our
calculations show a large tunnelling splitting $3 \Gamma$ of about 86
cm$^{-1}$. %, which is large as compared to the typical strain splitting. The
effect results in a large delocalization of the carbon nuclear wave functions
around the vacancy leading to a significant broadening of the Jahn-Teller
active $sp^2\sigma$ electron states. The tunnelling splitting should be
observable in electron paramagnetic resonance and two-photon resonance
scattering experiments.

35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con