Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fractional Quantum Hall Effect (FQHE): A Chern-Simons and
  nonequilibrium quantum transport Weyl transform approach   We give a simple macroscopic phase-space explanation of fractional quantum
Hall effect (FQHE), in a fashion reminiscent of the Landau-Ginsburg macroscopic
symmetry breaking analyses. This is in contrast to the more complicated
microscopic wavefunction approaches. Here, we employ a nonequilibrium quantum
transport in the lattice Weyl transform formalism. This is coupled with the
Maxwell Chern-Simons gauge theory for defining fractional filling of Landau
levels. Flux attachment concept is inherent in fully occupied and as well as in
partially occupied Landau levels. We derived the k-factor scaling hierarchy in
Chern-Simons gauge theory, as the scaling hierarchy of the magnetic field or
magnetic flux in FQHE. This is crucial in our simple explanation of FQHE as a
topological invariant in phase space. For the fundamental scaling hierarchy,
the integer k must be a prime number, and for fractions both the numerator and
denominator of k must also be prime numbers. The assumption in the literature
that a hierarchy of denominators of v = 1 k is given by the expression, (2n +
1), is wrong. Furthermore, even denominators for v cannot belong to fundamental
scaling hierarchy and is often absent or less resolved in the experiments.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics