Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ground state structure of electron's ensemble on one-dimension
  disordered lattice   The ground state of interacting particles on a disordered one-dimensional
host-lattice is studied by a direct numerical method. It is shown that if the
concentration of particles is small, then even a weak disorder of the
host-lattice breaks the long-range order of Generalized Wigner Crystal,
replacing it by the sequence of blocks (domains) of particles with random
lengths. The mean domains length as a function of the host-lattice disorder
parameter is also found. It is shown that the domain structure can be detected
by a weak random field, whose form is similar to that of the ground state but
has fluctuating domain walls positions. This is because the generalized
magnetization corresponding to the field has a sufficiently sharp peak as a
function of the amplitude of fluctuations for small amplitudes.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th