Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction effects on quantum Hall transitions: dynamical scaling laws
  and superuniversality   We study the role of electron-electron interactions near quantum Hall (QH)
transitions using a composite fermion (CF) representation. While the transition
is described by a strong-coupling fixed point, we are nevertheless able to
deduce two of its properties. With $1/r$ interactions, 1) the transition has a
dynamical exponent $z=1$, and 2) all transitions are `superuniversal':
fractional and integer QH transitions belong to the same universality class.
With short-range interactions, $z=2$ and the fate of superuniversality remains
unclear. To support our observations, we specifically study Son's Dirac CF
theory at finite density, in the presence of a random vector potential. Without
gauge fluctuations, the system is equivalent to a `dual' CF network model. With
gauge fluctuations, the system is governed by a gauged nonlinear sigma model
(NLSM) with non-zero $\theta$-term.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc