Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ab initio study of the influence of nanoscale doping inhomogeneities in
  the phase separated state of La$_{1-x}$Ca$_{x}$MnO$_3$   The chemical influence in the phase separation phenomenon that occurs in
perovskite manganites is discussed by means of ab initio calculations.
Supercells have been used to simulate a phase separated state, that occurs at
Ca concentrations close to the localized to itinerant crossover. We have first
considered a model with two types of magnetic ordering coexisting within the
same compound. This is not stable. However, a non-isotropic distribution of
chemical dopants is found to be the ground state. This leads to regions in the
system with different effective concentrations, that would always accompany the
magnetic phase separation at the same nanometric scale, with hole-rich regions
being more ferromagnetic in character and hole-poor regions being in the
antiferromagnetic region of the phase diagram, as long as the system is close
to a phase crossover.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an