Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics in the quantum Hall effect and the phase diagram of graphene   The dynamics responsible for lifting the degeneracy of the Landau levels in
the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy
effective model with a contact interaction. A detailed analysis of the
solutions of the gap equation for Dirac quasiparticles is performed at both
zero and nonzero temperatures. The characteristic feature of the solutions is
that the order parameters connected with the QH ferromagnetism and magnetic
catalysis scenarios necessarily coexist. The solutions reproduce correctly the
experimentally observed novel QH plateaus in graphene in strong magnetic
fields. The phase diagram of this system in the plane of temperature and
electron chemical potential is analyzed. The phase transitions corresponding to
the transitions between different QH plateaus in graphene are described.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg