Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic polaron structures in the one-dimensional double and
  super-exchange model   An analytical and numerical study of the one-dimensional double and
super-exchange model is presented. A phase separation between ferromagnetic and
anti-ferromagnetic phases occurs at low super-exchange interaction energy. When
the super-exchange interaction energy gets larger, the conduction electrons are
self-trapped within separate small magnetic polarons. These magnetic polarons
contain a single electron inside two or three sites depending on the conduction
electron density and form a Wigner crystallization. A new phase separation is
found between these small polarons and the anti-ferromagnetic phase. Our
results could explain the spin-glass-like behavior observed in the nickelate
one-dimensional compound Y(2-x)CaxBaNiO5.

2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th