Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hall Effects   These lecture notes yield an introduction to quantum Hall effects both for
non-relativistic electrons in conventional 2D electron gases (such as in
semiconductor heterostructures) and relativistic electrons in graphene. After a
brief historical overview in chapter 1, we discuss in detail the kinetic-energy
quantisation of non-relativistic and the relativistic electrons in a strong
magnetic field (chapter 2). Chapter 3 is devoted to the transport
characteristics of the integer quantum Hall effect, and the basic aspects of
the fractional quantum Hall effect are described in chapter 4. In chapter 5, we
briefly discuss several multicomponent quantum Hall systems, namely the quantum
Hall ferromagnetism, bilayer systems and graphene that may be viewed as a
four-component system.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th