Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclear spin ferromagnetic phase transition in an interacting 2D
  electron gas   Electrons in a two-dimensional semiconducting heterostructure interact with
nuclear spins via the hyperfine interaction. Using a a Kondo lattice
formulation of the electron-nuclear spin interaction, we show that the nuclear
spin system within an interacting two-dimensional electron gas undergoes a
ferromagnetic phase transition at finite temperatures. We find that
electron-electron interactions and non-Fermi liquid behavior substantially
enhance the nuclear spin Curie temperature into the $mK$ range with decreasing
electron density.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th