Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instabilities Toward Charge Density Wave and Paired Quantum Hall State
  of Half-Filled Landau Levels   We study the stability of spin-resolved Landau levels at electron filling
factor $\nu=n+1/2$, where n is a positive integer. Representing the half-filled
topmost Landau level by fermions and the n filled inner Landau levels by n
bosons, coupled to the Chern-Simons gauge fields, we show that the ground
states exhibit charge density wave order for $n(n+1/2)>15.54 \pi(a_B^*)^2 n_e$,
where $n_e$ is the 2D carrier density and $a_B^*$ is the effective Bohr radius.
We find that the pairing interaction mediated by the fluctuating gauge field is
enhanced near the charge density wave instability such that p-wave pairing of
the Chern-Simons fermions prevails for
$3.49(\pi{\ab}^2)n_e<n^2(n+1/2)<20.22\pi(a_B^*)^2 n_e$. The competition between
charge density wave order and paired quantum Hall state is discussed in
connection to recent experiments.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
3
The categories of this paper are: physics