Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting of Landau levels of a 2D electron due to electron-phonon
  interactions   We show that in a very strong magnetic field $B$ electron-phonon interaction
gives rise to a splitting of Landau levels of a 2D electron into a series of
infinitely degenerate sublevels. We provide both qualitative and quantitative
description of this phenomenon. The cases of interaction with acoustic and
polar optical phonons are considered. The energy distance between nearest
sublevels in both cases tends to zero as $B^{-1/2}$ at large $B$.

32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess