Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase separation in the combined Falicov-Kimball and static Holstein
  model   The Falicov-Kimball model has been known to phase separate when the
correlation strength is large and the temperature is low. We examine the
stability of phase separation under the influence of an additional
electron-phonon interaction that tries to force the electron density to be
homogeneous. We find that the electron-phonon interaction eventually destroys
the phase-separated state once it becomes larger than some critical value. The
results of this work may have an influence on theories of collossal
magentoresistance materials.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph