Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Separation of Edge States in the Integer Quantum Hall Regime   Coulomb effects on the edge states of a two dimensional electron gas in the
presence of a high magnetic field are studied for different widths of the
boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in
the integer Quantum Hall regime. Regions of flat bands at the Fermi level
appear for smooth interfaces in order to minimize the electrostatic energy
related to the existence of dipoles induced by the magnetic field. These
plateaus determine the phase separation in stripes of compressible and
incompressible electron liquids.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin