Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Currents in the Compressible and Incompressible Regions of the 2DEG   We derive a general expression for the low-temperature current distribution
in a two-dimensional electron gas, subjected to a perpendicular magnetic field
and in a confining potential that varies slowly on the scale of the magnetic
length l. The analysis is based on a self-consistent one-electron description,
such as the Hartree or standard Kohn-Sham equations. Our expression, which
correctly describes the current distribution on scales larger than l, has two
components: One is an ``edge current'' which is proportional to the local
density gradient and the other is a ``bulk current'' which is proportional to
the gradient of the confining potential. The direction of these currents
generally displays a striking alternating pattern.

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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
2
The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph