Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact shape of the lowest Landau level in a spin-1/2 system with
  uncorrelated disorders   Using the path-integral approach developed by Br\'ezin et al. [
Nucl.Phys.B235, 24 (1984) ], we obtain an analytical expression for the density
of states of a spin-1/2 disordered two-dimensional electron gas in a strong,
perpendicular magnetic field. The density of states of this system illustrates
the interplay between the Zeeman splitting of Landau levels and the
disorder-induced broadening. We find that the broadening and the band splitting
of the Landau bands are enhanced due to the level repulsion from the mixing of
two spin orientations caused by the random scatterings. The comparison between
the spin-1/2 model and the double-layer system is also discussed.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph