Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fresh look at the influence of gravity on the quantum Hall effect   We study the quantum Hall effect inside a gravitational field. First, we
review the influence of the gravitational field of the Earth on the quantum
Hall effect. Taking the gravitational field of the Earth to be uniform along
the vertical direction, we compute the affected quantized Hall resistivity.
Then, we investigate how the gravitational field modifies the Landau levels of
a particle moving between two massive hemispheres in the presence of a constant
and uniform magnetic field perpendicular to the plane of motion. We find that
the familiar degeneracy of the Landau levels is removed and the spacing between
the latter becomes dependent on the mass density of the hemispheres and on the
gravitational constant $G$. We use this result to show that the quantum Hall
effect in a thin conductor, sandwiched between two massive hemispheres, should
yield a slightly different variation of the Hall resistivity with the applied
magnetic field. We then argue that the well-known problem of the
gravitationally induced electric field, that might a priori be thought to
hinder the effect of gravity, has actually a beneficial role as it amplifies
the latter. We finally discuss whether there is a possibility of using the
quantum Hall effect to probe the inverse-square law of gravity.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg