Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hall effect in ac driven graphene: from half-integer to integer
  case   We theoretically study the quantum Hall effect (QHE) in graphene with an ac
electric field. Based on the tight-binding model, the structure of the
half-integer Hall plateaus at $\sigma_{xy} = \pm(n + 1/2)4e^2/h$ ($n$ is an
integer) gets qualitatively changed with the addition of new integer Hall
plateaus at $\sigma_{xy} = \pm n(4e^2/h)$ starting from the edges of the band
center regime towards the band center with an increasing ac field. Beyond a
critical field strength, a Hall plateau with $\sigma_{xy} = 0$ can be realized
at the band center, hence restoring fully a conventional integer QHE with
particle-hole symmetry. Within a low-energy Hamiltonian for Dirac cones
merging, we show a very good agreement with the tight-binding calculations for
the Hall plateau transitions. We also obtain the band structure for driven
graphene ribbons to provide a further understanding on the appearance of the
new Hall plateaus, showing a trivial insulator behavior for the $\sigma_{xy} =
0$ state. In the presence of disorder, we numerically study the
disorder-induced destruction of the quantum Hall states in a finite driven
sample and find that qualitative features known in the undriven disordered case
are maintained.

5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math