Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The spin-split incompressible edge states within empirical Hartree
  approximation at intermediately large Hall samples   A self-consistent Thomas-Fermi-Poisson based calculation scheme is used to
achieve spin resolved incompressible strips (ISs). The effect of exchange and
correlation is incorporated by an empirically induced g factor. A local version
of the Ohm's law describes the imposed fixed current, where the discrepancies
of this model are resolved by a relevant spatial averaging process. The
longitudinal resistance is obtained as a function of the perpendicular (strong)
magnetic field at filling factor one and two plateaus. Interrelation between
the ISs and the longitudinal zeros is explicitly shown.

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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
2
The categories of this paper are: math
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The categories of this paper are: eess