Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High spin states of cation vacancies in GaP, GaN, AlN, BN, ZnO and BeO:
  A first principles study   High spin states of cation vacancies in GaP, GaN, AlN, BN, ZnO and BeO were
analyzed by first principles calculations. The spin-polarized vacancy-induced
level is located in the band gap in GaP, ZnO and BeO. In the nitrides, the
stronger exchange coupling forces the vacancy states to be resonant with
valence bands, forbids formation of positively charged vacancies in GaN and BN,
and allows Al vacancy in p-AlN to assume the highest possible S=2 spin state.
The shape of the spin density, isotropic in the zinc blende structure, has a
pronounced directional character in the wurtzite structure. Stability of spin
polarization of the vacancy states is determined by spin polarization energies
of anions, as well as by interatomic distances between the vacancy neighbors,
and thus is given by both the lattice constant of the host and the atomic
relaxations around the vacancy. Implications for experiment are discussed.

8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
2
The categories of this paper are: math
37
The categories of this paper are: supr-con